Using nonlocal interface problem allows for 7x speedup in large-scale simulations

Analytic solutions u 2D 0,0 for s = 0.4 and u 2D 1,1 for s = 0.6. The behaviour (3.17) close to the boundary is apparent.

Multimaterial problems exist in mission applications such as mechanics and subsurface transport. To capture effects arising from long-range forces at the microscale and mesoscale that aren’t accounted for by classical partial differential equations, the MAThematical foundations for Nonlocal Interface Problems (MATNIP) project team developed a mathematically rigorous interface theory employing nonlocal models that use integral as opposed to differential operators. By applying their theory to domain decomposition methods, the team was able to achieve speedups of up to 7x in solve in solve time in large-scale simulations. The issue of parameter selection for nonlocal models from experimental data was successfully tackled using both adjoint optimization and ML approaches.

The Sandia team collaborated with Los Alamos and Oak Ridge National Laboratories, as well as Florida State University, Sandia Alliance partner University of Texas at Austin, and Lehigh University. The project team had fifteen publications, presented talks, and a former team member, Marta D’Elia, was nominated for the SIAM Wilkinson Price in Scientific Computing and Numerical Analysis for contributions to nonlocal modeling.

Sandia researchers linked to work

  • Christian Glusa
  • Mamikon Gulian
  • Pavel Bochev
  • Mario Martinez

Sponsored by

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Publications

  • Bochev, P., Owen, J., Kuberry, P., Connors, J.M., & Connors, J.M. (2024). A conservative discontinuous-Galerkin-in-time (DGiT) multirate time integration framework for interface-coupled problems with applications to solid–solid interaction and air–sea models. Computer Methods in Applied Mechanics and Engineering, 426(116975). https://doi.org/10.1016/j.cma.2024.116975 Publication ID: 124856
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2024). Optimization-based, property-preserving algorithm for passive tracer transport. Computers and Mathematics with Applications, 159, pp. 267-286. https://doi.org/10.1016/j.camwa.2024.02.031 Publication ID: 124796
  • Glusa, C., Klar, M., Gunzburger, M., D’Elia, M., Capodaglio, G., & Capodaglio, G. (2023). A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. Computers and Mathematics with Applications, 151, pp. 434-448. https://doi.org/10.1016/j.camwa.2023.10.019 Publication ID: 124452
  • Paskaleva, B.S., Wilcox, I.Z., Bochev, P., Plusquellic, J., Jao, J., Chan, C., Thotakura, S., & Thotakura, S. (2023). An Analysis of FPGA LUT Bias and Entropy for Physical Unclonable Functions. Journal of Hardware and Systems Security (Online), 7(4), pp. 110-123. https://doi.org/10.1007/s41635-023-00137-z Publication ID: 123504
  • D’Elia, M., Gulian, M., Suzuki, J.L., Zayernouri, M., & Zayernouri, M. (2023). Fractional Modeling in Action: a Survey of Nonlocal Models for Subsurface Transport, Turbulent Flows, and Anomalous Materials. Journal of Peridynamics and Nonlocal Modeling. https://doi.org/10.2172/1820001 Publication ID: 75627
  • Berger-Vergiat, L., Glusa, C., Hu, J.J., Siefert, C., & Siefert, C. (2023). Performance of algebraic multigrid on GPUs [Conference Presenation]. https://doi.org/10.2172/2430424 Publication ID: 125456
  • Bochev, P., Peterson, K., Ridzal, D., & Ridzal, D. (2023). Optimization-based, property-preserving algorithms for passive tracer transport [Conference Presenation]. https://doi.org/10.2172/2430425 Publication ID: 125460
  • Glusa, C. (2023). Optimal control for fractional order equations [Conference Presenation]. https://doi.org/10.2172/2430439 Publication ID: 125508
  • Harper, G.B., Glusa, C., & Glusa, C. (2023). Iterative Solvers & Algebraic Multigrid (with Trilinos, Belos & MueLu) [Conference]. https://www.osti.gov/biblio/2430446 Publication ID: 125528
  • Loe, J.A., Boman, E.G., Espinoza, H.J.D., Glusa, C., Harper, G.B., Higgins, A.J., Rajamanickam, S., Siefert, C., Switzer, H.M., Szyld, D., Tuminaro, R.S., Yamazaki, I., & Yamazaki, I. (2023). New Linear Solvers Features and Improvements in Trilinos [Conference Presenation]. https://doi.org/10.2172/2463061 Publication ID: 131756
  • Diaz, C.P., Bochev, P., Ridzal, D., & Ridzal, D. (2023). A heuristic topological model order reduction for advection problems [Conference Presenation]. https://doi.org/10.2172/2430501 Publication ID: 125700
  • Ridzal, D., Bochev, P., & Bochev, P. (2023). Toward scalable optimization methods for property-preserving finite element discretizations of transport problems [Conference Presenation]. https://doi.org/10.2172/2430525 Publication ID: 125780
  • Bochev, P. (2023). Variations on the theme of interfaces [Conference Presenation]. https://doi.org/10.2172/2430591 Publication ID: 126020
  • Glusa, C. (2023). A Fractional Model for Anomalous Diffusion with Increased Variability [Conference Presenation]. https://doi.org/10.2172/2430610 Publication ID: 126092
  • Glusa, C., D’Elia, M., Alla, A., Oliveira, H., & Oliveira, H. (2023). Control of Fractional Diffusion Problems via Dynamic Programming Equations. Journal of Peridynamics and Nonlocal Modeling, 6, pp. 270-293. https://doi.org/10.1007/s42102-023-00101-z Publication ID: 124456
  • Gulian, M. (2023). Gaussian Process Regression constrained by Boundary Value Problems [Conference Presenation]. https://doi.org/10.2172/2431135 Publication ID: 127936
  • Gulian, M. (2023). Solving High-Dimensional Inverse Problems with Auxiliary Uncertainty via Operator Learning with Limited Data [Conference Presenation]. https://doi.org/10.2172/2431397 Publication ID: 128888
  • Hart, J.L., Gulian, M., Manickam, I., Swiler, L.P., & Swiler, L.P. (2023). Solving inverse problems via neural network flow map approximation [Conference Presenation]. https://doi.org/10.2172/2431580 Publication ID: 129424
  • Sockwell, K.C., Bochev, P., Peterson, K., Kuberry, P., & Kuberry, P. (2023). Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods. Numerical Methods for Partial Differential Equations, 39(5), pp. 3572-3593. https://doi.org/10.1002/num.23015 Publication ID: 123868
  • Bochev, P., Hanson, J.M., Paskaleva, B.S., Kuberry, P., Wilcox, I.Z., Mei, T., & Mei, T. (2023). Data-driven circuits models [Conference Poster]. https://doi.org/10.2172/2431798 Publication ID: 130192
  • Yamazaki, I., Loe, J.A., Glusa, C., Rajamanickam, S., Luszczek, P., Dongarra, J., & Dongarra, J. (2023). High-Performance GMRES Multi-Precision Benchmark [Conference Presenation]. https://doi.org/10.2172/2431881 Publication ID: 130520
  • Tezaur, I.K., Barnett, J.L., Mota, A., de Castro, A., Kuberry, P., Bochev, P., & Bochev, P. (2023). Component-based coupling of first-principles and data-driven models [Conference Presenation]. https://doi.org/10.2172/2432008 Publication ID: 130960
  • Glusa, C. (2023). Algebraic multigrid solver for nonlocal equations [Conference Presenation]. https://doi.org/10.2172/2431889 Publication ID: 130548
  • Glusa, C. (2023). Algebraic multigrid solver for nonlocal equations [Conference Presenation]. https://doi.org/10.2172/2431908 Publication ID: 130620
  • de Castro, A., Kuberry, P., Tezaur, I.K., Bochev, P., & Bochev, P. (2023). A Novel Partitioned Approach for Reduced Order Model – Finite Element Model (ROM-FEM) and ROM-ROM Coupling. Earth and Space 2022: Space Exploration, Utilization, Engineering, and Construction in Extreme Environments – Selected Papers from the 18th Biennial International Conference on Engineering, Science, Construction, and Operations in Challenging Environments. https://doi.org/10.1061/9780784484470.044 Publication ID: 80830
  • Sockwell, K.C., Bochev, P., Paskaleva, B.S., & Paskaleva, B.S. (2023). A Compact Delayed Photocurrent Model Based on a Reduced Order Data-Driven Exponential Time Integrator [Conference Presenation]. Earth and Space 2022: Space Exploration, Utilization, Engineering, and Construction in Extreme Environments – Selected Papers from the 18th Biennial International Conference on Engineering, Science, Construction, and Operations in Challenging Environments. https://doi.org/10.2172/2002451 Publication ID: 110724
  • Glusa, C. (2023). Algebraic multigrid solver for nonlocal equations [Conference Presenation]. https://doi.org/10.2172/2006419 Publication ID: 122332
  • de Castro, A., Kuberry, P., Tezaur, I.K., Bochev, P., & Bochev, P. (2023). A Partitioned Method for Reduced OrderModel-Finite Element Model (ROM-FEM)and ROM-ROM Couplings with SeparateReduced Bases for Interior and InterfaceVariables [Conference Presenation]. https://doi.org/10.2172/2432189 Publication ID: 131516
  • Glusa, C. (2023). Algebraic multigrid and hierarchical matrices [Conference Presenation]. https://doi.org/10.2172/2432252 Publication ID: 131648
  • Glusa, C., Capodaglio, G., Bochev, P., D’Elia, M., Gunzburger, M., & Gunzburger, M. (2022). An Asymptotically Compatible Coupling Formulation for Nonlocal Interface Problems with Jumps. SIAM Journal on Scientific Computing, 45(3). https://doi.org/10.1137/22m1490351 Publication ID: 123956
  • Cheung, J., Perego, M., Bochev, P., Gunzburger, M.D., & Gunzburger, M.D. (2022). A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces. Journal of Computational and Applied Mathematics, 425. https://doi.org/10.1016/j.cam.2022.115027 Publication ID: 124032
  • D’Elia, M., Gulian, M., Mengesha, T., Scott, J.M., & Scott, J.M. (2022). Connections between nonlocal operators: from vector calculus identities to a fractional Helmholtz decomposition. Fractional Calculus and Applied Analysis. https://doi.org/10.2172/1855046 Publication ID: 77052
  • D’Elia, M., Gulian, M., & Gulian, M. (2022). Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport. Numerical Mathematics. https://doi.org/10.2172/1763574 Publication ID: 75004
  • D’Elia, M., Glusa, C., & Glusa, C. (2022). A fractional model for anomalous diffusion with increased variability: Analysis, algorithms and applications to interface problems. Numerical Methods for Partial Differential Equations, 38(6), pp. 2084-2103. https://doi.org/10.1002/num.22865 Publication ID: 75443
  • D’Elia, M., Bochev, P., Gunzburger, M., Capodaglio, G., Klar, M., Vollmann, C., & Vollmann, C. (2022). A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. Numerical Methods for Partial Differential Equations. https://doi.org/10.2172/1656937 Publication ID: 99466
  • D’Elia, M., Bochev, P., Gunzburger, M., Capodaglio, G., Klar, M., Vollmann, C., & Vollmann, C. (2022). A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. Numerical Methods for Partial Differential Equations. https://doi.org/10.2172/1656938 Publication ID: 99470
  • Yamazaki, I., Loe, J.A., Glusa, C., Rajamanickam, S., Luszczek, P., Dongarra, J., & Dongarra, J. (2022). High-Performance GMRES Multi-Precision Benchmark [Conference Presenation]. https://doi.org/10.2172/2006086 Publication ID: 121072
  • Glusa, C. (2022). Higher-order geometric-algebraic multigrid [Conference Presenation]. https://doi.org/10.2172/2005724 Publication ID: 120032
  • Liegeois, K., Glusa, C., & Glusa, C. (2022). PyTrilinos2: automatic (re)generation of a Python interface for Trilinos [Conference Presenation]. https://doi.org/10.2172/2005727 Publication ID: 120044
  • D’Elia, M., Bochev, P., Foster, J.T., Glusa, C., Gulian, M., Gunzburger, M., Trageser, J., Kuhlman, K.L., Martinez, M., Najm, H.N., Silling, S.A., Tupek, M., Xu, X., & Xu, X. (2022). Mathematical Foundations for Nonlocal Interface Problems: Multiscale Simulations of Heterogeneous Materials (Final LDRD Report). https://doi.org/10.2172/1888162 Publication ID: 80232
  • Mahadevan, V.S., Guerra, J.E., Jiao, X., Kuberry, P., Li, Y., Ullrich, P., Marsico, D., Jacob, R., Bochev, P., Jones, P., & Jones, P. (2022). Metrics for Intercomparison of Remapping Algorithms (MIRA) protocol applied to Earth system models. Geoscientific Model Development, 15(17), pp. 6601-6635. https://doi.org/10.5194/gmd-15-6601-2022 Publication ID: 80860
  • Bochev, P., Trask, N.A., Kuberry, P., Perego, M., Paskaleva, B.S., & Paskaleva, B.S. (2022). he The amazing powers of Generalized Moving Least Squares: Applications to PDEs, data transfer and device models [Conference Presenation]. https://doi.org/10.2172/2004746 Publication ID: 117816
  • Gulian, M., Glusa, C., Hyman, J., D’Elia, M., & D’Elia, M. (2022). Calibrating Fractional-Order Models for Anomalous Subsurface Flow through Fractures [Conference Presenation]. https://doi.org/10.2172/2005235 Publication ID: 118400
  • Harper, G.B., Glusa, C., & Glusa, C. (2022). Iterative Solvers & Algebraic Multigrid (with Trilinos, Belos & MueLu) [Conference Presenation]. https://doi.org/10.2172/2004283 Publication ID: 116348
  • Bochev, P., Tezaur, I.K., de Castro, A., Kuberry, P., & Kuberry, P. (2022). Formulation and computation of partitioned schemes for coupled problems with non- conventional computational models [Conference Presenation]. https://doi.org/10.2172/2004312 Publication ID: 116464
  • Gulian, M. (2022). Gaussian Process Regression Constrained by Boundary Value Problems [Conference Presenation]. https://doi.org/10.2172/2004489 Publication ID: 117144
  • Kuberry, P., Paskaleva, B.S., Mei, T., Keiter, E., Bochev, P., Buchheit, T.E., Glickman, M.R., & Glickman, M.R. (2022). Python Data-Driven Model Integration for the Xyce Circuit Simulator [Conference Presenation]. https://doi.org/10.2172/2003870 Publication ID: 114764
  • de Castro, A., Kuberry, P., Tezaur, I.K., Bochev, P., & Bochev, P. (2022). Formulation of Partitioned Schemes with Non-Standard Computational Models [Conference Presenation]. https://doi.org/10.2172/2003879 Publication ID: 114800
  • Glusa, C. (2022). Scalable methods for nonlocal models [Conference Presenation]. https://doi.org/10.2172/2003933 Publication ID: 115008
  • Gulian, M. (2022). Probabilistic Partition-of-Unity Networks for Robust Regression [Conference Presenation]. https://doi.org/10.2172/2003942 Publication ID: 115044
  • Hart, J.L., Gulian, M., Manickam, I., Swiler, L.P., & Swiler, L.P. (2022). Facilitating Atmospheric Source Inversion via Operator Regression [Conference Presenation]. https://doi.org/10.2172/2003973 Publication ID: 115156
  • Gulian, M. (2022). Calibrating Fractional-Order Models for Anomalous Subsurface Flow through Fractures [Conference Presenation]. https://doi.org/10.2172/2004028 Publication ID: 115368
  • Glusa, C. (2022). Domain Decomposition Solvers for Nonlocal Equations [Conference Presenation]. https://doi.org/10.2172/2004191 Publication ID: 116000
  • D’Elia, M., Glusa, C., Burkovska, O., & Burkovska, O. (2022). An optimization-based approach to parameter learning for fractional type nonlocal models. Computers and Mathematics with Applications, 116, pp. 229-244. https://doi.org/10.1016/j.camwa.2021.05.005 Publication ID: 78671
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., & Rajamanickam, S. (2022). Polynomial Preconditioning GMRES with Mixed Precisions [Conference Presenation]. https://doi.org/10.2172/2003462 Publication ID: 113172
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., Morgan, R., & Morgan, R. (2022). Polynomial Preconditioning GMRES with Mixed Precisions [Conference Presenation]. https://www.osti.gov/biblio/2003557 Publication ID: 113544
  • Gulian, M., Hart, J.L., Manickam, I., Swiler, L.P., & Swiler, L.P. (2022). Facilitating Atmospheric Source Inversion via Deep Operator Network Surrogates [Conference Presenation]. https://doi.org/10.2172/2003586 Publication ID: 113660
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., & Rajamanickam, S. (2022). Mixed Precision Strategies for GMRES in TrilinosJennifer [Presentation]. https://www.osti.gov/biblio/2003637 Publication ID: 113852
  • Kuberry, P., Paskaleva, B.S., Mei, T., Keiter, E., Bochev, P., Buchheit, T.E., Glickman, M.R., & Glickman, M.R. (2022). Python Data-Driven Model Integration for the Xyce Circuit Simulator [Conference Presenation]. https://doi.org/10.2172/2003315 Publication ID: 112632
  • Glusa, C. (2022). Scalable methods for nonlocal models [Conference Presenation]. https://doi.org/10.2172/2003412 Publication ID: 112976
  • Kuberry, P., Sockwell, K.C., Eldred, C., Perego, M., Bochev, P., Peterson, K., & Peterson, K. (2022). Meshless Remap of Native Fields for Earth System Models via Generalized Moving Least Squares [Conference Presenation]. https://doi.org/10.2172/2002153 Publication ID: 109580
  • Sockwell, K.C., Kuberry, P., Peterson, K., Bochev, P., & Bochev, P. (2022). Interface Flux Recovery Framework for Constructing Partitioned Heterogeneous Time-Integration Methods [Conference Presenation]. https://doi.org/10.2172/2002233 Publication ID: 109896
  • Patel, R., Manickam, I., Gulian, M., Lee, M., & Lee, M. (2022). Error-in-variables modelling for operator learning [Conference Presenation]. https://doi.org/10.2172/2002493 Publication ID: 110892
  • Patel, R., Manickam, I., Gulian, M., Lee, M., & Lee, M. (2022). Error-in-variables modelling for operator learning [Conference Paper]. https://www.osti.gov/biblio/2003186 Publication ID: 112148
  • Gaiewski, M., Sockwell, K.C., Bochev, P., Connors, J., & Connors, J. (2022). Air-Sea Light: Coupling Atmosphere and Ocean models through the Bulk Condition [Conference Presenation]. https://doi.org/10.2172/2002024 Publication ID: 109084
  • Gulian, M., Patel, R., Manickam, I., Myoungkyu, L., & Myoungkyu, L. (2022). Error-in-variables modelling for operator learning [Conference Paper]. https://www.osti.gov/biblio/2002026 Publication ID: 109092
  • de Castro, A., Kuberry, P., Tezaur, I.K., Bochev, P., & Bochev, P. (2022). A Lagrange Multiplier Partitioned Scheme for Coupling Reduced Order Models [Conference Presenation]. https://doi.org/10.2172/2002134 Publication ID: 109508
  • Glusa, C. (2022). Scalable methods for nonlocal models [Conference Presenation]. https://doi.org/10.2172/2001711 Publication ID: 107932
  • Glusa, C. (2022). Domain Decomposition Solvers for Nonlocal Equations [Conference Presenation]. https://doi.org/10.2172/2001773 Publication ID: 108176
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., & Rajamanickam, S. (2022). Mixed Precision Strategies for GMRES [Conference Presenation]. https://doi.org/10.2172/2001827 Publication ID: 108352
  • D’Elia, M., Glusa, C., Xu, X., Foster, J.T., & Foster, J.T. (2022). Machine-Learning of Nonlocal Kernels for Anomalous Subsurface Transport from Breakthrough Curves. https://doi.org/10.2172/1842267 Publication ID: 79996
  • Gulian, M., Frankel, A., Swiler, L.P., & Swiler, L.P. (2022). Gaussian process regression constrained by boundary value problems. Computer Methods in Applied Mechanics and Engineering, 388. https://doi.org/10.1016/j.cma.2021.114117 Publication ID: 75489
  • Patel, R., Manickam, I., Lee, M., Gulian, M., & Gulian, M. (2022). Error-in-variables modelling for operator learning [Conference Presenation]. Proceedings of Machine Learning Research. https://doi.org/10.2172/2004345 Publication ID: 116596
  • Yamazaki, I., Glusa, C., Loe, J.A., Luszczek, P., Rajamanickam, S., Dongarra, J., & Dongarra, J. (2022). High-Performance GMRES Multi-Precision Benchmark: Design, Performance, and Challenges [Conference Paper]. Proceedings of PMBS 2022: Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems, Held in conjunction with SC 2022: The International Conference for High Performance Computing, Networking, Storage and Analysis. https://doi.org/10.1109/PMBS56514.2022.00015 Publication ID: 119936
  • Gulian, M. (2021). Partition of unity networks: deep hp-approximation [Conference Poster]. https://doi.org/10.2172/2001513 Publication ID: 107192
  • Gulian, M. (2021). Partition of unity networks: deep hp-approximation [Conference Poster]. https://doi.org/10.2172/2001532 Publication ID: 107244
  • Glusa, C. (2021). PyNucleus – A FEM code for nonlocal problems [Conference Presenation]. https://doi.org/10.2172/1900339 Publication ID: 76959
  • D’Elia, M., Bochev, P., Perego, M., Trageser, J., Littlewood, D.J., & Littlewood, D.J. (2021). An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions. https://doi.org/10.2172/1825041 Publication ID: 76166
  • Sockwell, K.C., Kuberry, P., Tucker, J.D., Bochev, P., & Bochev, P. (2021). Automated Discovery of DOminaNt physics Informed Surrogates (ADDONIS) Framework [Presentation]. https://www.osti.gov/biblio/1894021 Publication ID: 76392
  • Xu, X., Glusa, C., D’Elia, M., Foster, J.E., & Foster, J.E. (2021). A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems. Computer Methods in Applied Mechanics and Engineering, 387. https://doi.org/10.1016/j.cma.2021.114148 Publication ID: 75442
  • Gulian, M. (2021). Robust architectures, initialization, and training for deep neural networks via the adaptive basis interpretation [Conference Presenation]. https://doi.org/10.2172/1889595 Publication ID: 75730
  • Hembree, C., Hanson, J.M., Paskaleva, B.S., Bochev, P., Keiter, E., Mar, A., Mei, T., & Mei, T. (2021). Semiconductor Device Models Constructed Using Simple Elements and Auxiliary Dynamics [Conference Presenation]. https://doi.org/10.2172/1890913 Publication ID: 75902
  • Kuberry, P., Mei, T., Keiter, E., Paskaleva, B.S., Bochev, P., Hanson, J.M., & Hanson, J.M. (2021). Xyce Python Model Interpreter (Xyce-PyMi) for enabling ML advancements in production circuit simulation software [Conference Presenation]. https://doi.org/10.2172/1889549 Publication ID: 75928
  • Acer, S., Boman, E.G., Glusa, C., Rajamanickam, S., & Rajamanickam, S. (2021). Sphynx: A parallel multi-GPU graph partitioner for distributed-memory systems [Conference Presenation]. Parallel Computing. https://doi.org/10.2172/1853867 Publication ID: 77409
  • Gulian, M. (2021). Data-driven learning of nonlocal physics from high-fidelity synthetic data [Conference Presenation]. https://doi.org/10.2172/1888123 Publication ID: 75404
  • Acer, S., Boman, E.G., Glusa, C., Rajamanickam, S., & Rajamanickam, S. (2021). Sphynx: a parallel multi-GPU graph partitioner [Conference Presenation]. https://doi.org/10.2172/1882077 Publication ID: 79650
  • Hu, J.J., Glusa, C., & Glusa, C. (2021). Recent Advances in Maxwell Solvers for PIC Simulations Across Architectures [Conference Presenation]. https://doi.org/10.2172/1888437 Publication ID: 79110
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., & Rajamanickam, S. (2021). Properties of GMRES with Iterative Refinement on GPUs [Conference Presenation]. https://doi.org/10.2172/1884157 Publication ID: 79139
  • Gulian, M. (2021). Robust architectures, initialization, and training for deep neural networks [Presentation]. https://www.osti.gov/biblio/1888396 Publication ID: 79244
  • Hanson, J.M., Paskaleva, B.S., Bochev, P., Keiter, E., Hembree, C., Kuberry, P., & Kuberry, P. (2021). A Numerical Compact Photocurrent Model and its Implementation via Xyce-PyMi [Conference Presenation]. https://doi.org/10.2172/1876997 Publication ID: 79274
  • D’Elia, M., Olson, H., Gulian, M., & Gulian, M. (2021). Comparison of Tempered and Truncated Fractional Models [Conference Poster]. https://doi.org/10.2172/1888466 Publication ID: 79402
  • Gulian, M. (2021). Partition of Unity Networks for Deterministic and Probabilistic Regression [Presentation]. https://www.osti.gov/biblio/1888667 Publication ID: 79485
  • Gulian, M. (2021). Gaussian Process Regression constrained by Boundary Value Problems [Conference Presenation]. https://doi.org/10.2172/1883509 Publication ID: 79507
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., & Rajamanickam, S. (2021). Experimental Evaluation of Multiprecision Strategies for GMRES on GPUs [Conference Presenation]. 2021 IEEE International Parallel and Distributed Processing Symposium Workshops, IPDPSW 2021 – In conjunction with IEEE IPDPS 2021. https://doi.org/10.2172/1869548 Publication ID: 78515
  • Sockwell, K.C., Bochev, P., Peterson, K., Kuberry, P., & Kuberry, P. (2021). The Interface-Flux-Recovery (IFR) Methodfor Conservative and Stable Coupling Schemesin Geophysical Fluids and Mechanics [Conference Presenation]. https://doi.org/10.2172/1877832 Publication ID: 78801
  • Cyr, E.C., Gulian, M., Lee, K., Patel, R., Perego, M., Trask, N.A., & Trask, N.A. (2021). An Adaptive Basis Perspective to Improve Initialization and Accelerate Training of DNNs [Presentation]. https://www.osti.gov/biblio/1872708 Publication ID: 78814
  • Glusa, C. (2021). A Fractional Model for Anomalous Diffusion with Increased Variability [Conference Presenation]. https://doi.org/10.2172/1873280 Publication ID: 78836
  • Siefert, C., Tuminaro, R.S., Glusa, C., Kaushagen, J., & Kaushagen, J. (2021). Multilevel Methods for Maxwell’s Equations [Conference Presenation]. https://doi.org/10.2172/1869378 Publication ID: 78523
  • Bochev, P. (2021). A hybrid analytic-numerical compact model for radiation-induced photocurrent effects [Presentation]. https://www.osti.gov/biblio/1884185 Publication ID: 78609
  • Gulian, M. (2021). Analysis of Anisotropic Nonlocal Diffusion Models: Well-posedness of Fractional Problems for Anomalous Transport [Conference Presenation]. https://doi.org/10.2172/1870369 Publication ID: 78630
  • Gulian, M. (2021). Robust architectures initialization and training for deep neural networks via the adaptive basis interpretation [Presentation]. https://www.osti.gov/biblio/1866561 Publication ID: 78329
  • Glusa, C. (2021). Optimal Control for the Fractional Laplacian [Conference Presenation]. https://doi.org/10.2172/1853869 Publication ID: 77411
  • Kuberry, P., Peterson, K., Bochev, P., & Bochev, P. (2021). Generalized Moving Least Squares (GMLS) with Clip and Assured Sum (CAAS) Post-processing for Earth System Remap [Conference Presenation]. https://doi.org/10.2172/1854070 Publication ID: 77433
  • Gulian, M. (2021). Data-driven learning of nonlocal physics from high-fidelity synthetic data [Conference Presenation]. https://doi.org/10.2172/1854073 Publication ID: 77436
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., & Rajamanickam, S. (2021). Multiprecision Krylov Solvers in Kokkos and Belos [Conference Presenation]. https://doi.org/10.2172/1854310 Publication ID: 77452
  • Berger-Vergiat, L., Hu, J.J., Glusa, C., Siefert, C., & Siefert, C. (2021). Portability of Nalu-Wind using Trilinos and Kokkos Libraries [Conference Presenation]. https://doi.org/10.2172/1854321 Publication ID: 77462
  • Gulian, M., Patel, R., Trask, N.A., Cyr, E.C., & Cyr, E.C. (2021). A block coordinate descent optimizer for classification problems exploiting convexity [Conference Paper]. https://www.osti.gov/biblio/1855748 Publication ID: 77621
  • Gulian, M. (2021). A block coordinate descent optimizer for classification problems exploiting convexity [Conference Presenation]. https://doi.org/10.2172/1859695 Publication ID: 77748
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., & Rajamanickam, S. (2021). Experimental Evaluation of Multiprecision Strategies for GMRES on GPUs [Conference Paper]. https://doi.org/10.1109/IPDPSW52791.2021.00078 Publication ID: 77887
  • D’Elia, M., Bochev, P., & Bochev, P. (2021). Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method [Conference Poster]. Results in Applied Mathematics. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85093960841&origin=inward Publication ID: 44927
  • You, H., Yu, Y., Trask, N.A., Gulian, M., D’Elia, M., & D’Elia, M. (2021). Data-driven learning of nonlocal physics from high-fidelity synthetic data. Computer Methods in Applied Mechanics and Engineering, 374. https://doi.org/10.1016/j.cma.2020.113553 Publication ID: 73539
  • Swiler, L.P., Gulian, M., Frankel, A., Safta, C., Jakeman, J.D., & Jakeman, J.D. (2021). Constrained Gaussian Processes: A Survey [Conference Presenation]. https://doi.org/10.2172/1847480 Publication ID: 77280
  • Cyr, E.C., Gulian, M., Patel, R., Perego, M., Trask, N.A., & Trask, N.A. (2021). An Adaptive Basis Perspective to Improve Initialization and Accelerate Training of DNNs [Conference Presenation]. https://doi.org/10.2172/1847582 Publication ID: 77381
  • Glusa, C., Otarola, E., & Otarola, E. (2021). Error estimates for the optimal control of a parabolic fractional pde. SIAM Journal on Numerical Analysis, 59(2), pp. 1140-1165. https://doi.org/10.1137/19m1267581 Publication ID: 72369
  • Patel, R., Trask, N.A., Gulian, M., Cyr, E.C., & Cyr, E.C. (2021). A block coordinate descent optimizer for classification problems exploiting convexity. CEUR Workshop Proceedings, 2964, pp. 1-12. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85116653183&origin=inward Publication ID: 73782
  • Glusa, C., D’Elia, M., Antil, H., Weiss, C.J., van Bloemen Waanders, B.G., & van Bloemen Waanders, B.G. (2021). A fast solver for the fractional helmholtz equation. SIAM Journal on Scientific Computing, 43(2), pp. A1362-A1388. https://doi.org/10.1137/19M1302351 Publication ID: 75065
  • Glusa, C., D’Elia, M., & D’Elia, M. (2021). Nonlocal operators with variable coefficients [Conference Poster]. https://doi.org/10.2172/1854680 Publication ID: 75068
  • Gulian, M. (2021). A Unified Theory of Fractional Nonlocal and Weighted Nonlocal Vector Calculus [Conference Poster]. https://doi.org/10.2172/1841821 Publication ID: 75102
  • Bettencourt, M.T., Brown, D.A.S., Cartwright, K.L., Cyr, E.C., Glusa, C., Lin, P.T., Moore, S.G., McGregor, D.A.O., Pawlowski, R., Phillips, E., Roberts, N.V., Wright, S.A., Maheswaran, S., Jones, J.P., Jarvis, S.A., & Jarvis, S.A. (2021). EMPIRE-PIC: A performance portable unstructured particle-in-cell code. Communications in Computational Physics, 30(4), pp. 1232-1268. https://doi.org/10.4208/cicp.oa-2020-0261 Publication ID: 77552
  • Kookjin, L., Trask, N.A., Patel, R., Gulian, M., Cyr, E.C., & Cyr, E.C. (2020). Partition of unity networks: data-driven meshfree hp-approximation [Conference Paper]. https://www.osti.gov/biblio/1835970 Publication ID: 72183
  • Glusa, C., Boman, E.G., Chow, E., Rajamanickam, S., Szyld, D.B., & Szyld, D.B. (2020). Scalable asynchronous domain decomposition solvers. SIAM Journal on Scientific Computing, 42(6), pp. C384-C409. https://doi.org/10.1137/19m1291303 Publication ID: 74483
  • D’Elia, M., du, Q., Glusa, C., Gunzburger, M., Tian, X., Zhou, Z., & Zhou, Z. (2020). Numerical methods for nonlocal and fractional models. Acta Numerica, 29, pp. 1-124. https://doi.org/10.1017/s096249292000001x Publication ID: 77290
  • Loe, J.A., Glusa, C., Boman, E.G., Yamazaki, I., Rajamanickam, S., & Rajamanickam, S. (2020). Multiprecision Krylov Solvers in Trilinos [Presentation]. https://www.osti.gov/biblio/1829961 Publication ID: 71611
  • Loe, J.A., Glusa, C., Boman, E.G., Yamazaki, I., Rajamanickam, S., & Rajamanickam, S. (2020). Multiprecision GMRES in Trilinos packages Belos and Kokkos [Conference Presenation]. https://doi.org/10.2172/1832692 Publication ID: 71889
  • Sockwell, K.C., Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2020). Bulk-Interface-Flux-Recovery (Bulk-IFR) Methodfor Coupling the Atmosphere-Ocean Interface [Conference Presenation]. https://doi.org/10.2172/1832721 Publication ID: 71898
  • Loe, J.A., Glusa, C., Yamazaki, I., Boman, E.G., Rajamanickam, S., & Rajamanickam, S. (2020). Mixed-Precision GMRES in Trilinos [Conference Presenation]. https://doi.org/10.2172/1833786 Publication ID: 71988
  • Sockwell, K.C., Peterson, K., Kuberry, P., Bochev, P., Trask, N.A., & Trask, N.A. (2020). Interface Flux Recovery coupling method for the ocean–atmosphere system. Results in Applied Mathematics, 8. https://doi.org/10.1016/j.rinam.2020.100110 Publication ID: 73208
  • Bochev, P., D’Elia, M., & D’Elia, M. (2020). Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method. Results in Applied Mathematics, 9(C). https://doi.org/10.1016/j.rinam.2020.100129 Publication ID: 53184
  • D’Elia, M., Glusa, C., Burkovska, O., & Burkovska, O. (2020). An optimization-based approach to parameter learning for fractional type nonlocal models. https://doi.org/10.2172/1673822 Publication ID: 100320
  • Swiler, L.P., Gulian, M., Frankel, A., Safta, C., Jakeman, J.D., & Jakeman, J.D. (2020). A Survey of Constrained Gaussian Process: Approaches and Implementation Challenges. Journal of Machine Learning for Modeling and Computing, 1(2), pp. 119-156. https://doi.org/10.1615/jmachlearnmodelcomput.2020035155 Publication ID: 100688
  • Kuberry, P., Trask, N.A., Koester, J.J., Bochev, P., & Bochev, P. (2020). Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids (REBAR) [Conference Poster]. https://www.osti.gov/biblio/1822641 Publication ID: 70985
  • Swiler, L.P., Gulian, M., Frankel, A., Jakeman, J.D., Safta, C., & Safta, C. (2020). Incorporating physical constraints into Gaussian process surrogate models (LDRD Project Summary). https://doi.org/10.2172/1668928 Publication ID: 99852
  • Kuberry, P., Bochev, P., Koester, J.J., Trask, N.A., & Trask, N.A. (2020). Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids. LDRD Final Report. https://doi.org/10.2172/1669732 Publication ID: 99944
  • Hanson, J.M., Bochev, P., Paskaleva, B.S., & Paskaleva, B.S. (2020). Learning Compact Physics-Aware Photocurrent Models Using Dynamic Mode Decomposition [Presentation]. https://doi.org/10.1002/sam.11485 Publication ID: 74536
  • Gulian, M., Swiler, L.P., Frankel, A., Safta, C., Jakeman, J.D., & Jakeman, J.D. (2020). A Survey of Constrained Gaussian Process Regression: Approaches and Implementation Challenges [Conference Poster]. https://www.osti.gov/biblio/1814448 Publication ID: 74592
  • D’Elia, M., Capodaglio, G., Bochev, P., Gunzburger, M., & Gunzburger, M. (2020). An energy-based coupling approach to nonlocal interface problems. Computers and Fluids. https://doi.org/10.2172/1592829 Publication ID: 104764
  • Gulian, M., Cyr, E.C., Patel, R., Perego, M., Trask, N.A., & Trask, N.A. (2020). Robust training and initialization of deep neural networks: an adaptive basis viewpoint [Conference Poster]. https://www.osti.gov/biblio/1808257 Publication ID: 74043
  • Hu, J.J., Glusa, C., & Glusa, C. (2020). One slide overviews of the Belos and MueLu Libraries in Trilinos [Presentation]. https://www.osti.gov/biblio/1810699 Publication ID: 74210
  • Gulian, M., Swiler, L.P., Frankel, A., Jakeman, J.D., Safta, C., & Safta, C. (2020). A Survey of Constrained Gaussian Process Regression: Approaches and Implementation Challenges [Conference Poster]. https://www.osti.gov/biblio/1812282 Publication ID: 74359
  • Bochev, P. (2020). Data driven photocurrent models [Presentation]. https://www.osti.gov/biblio/1804988 Publication ID: 73925
  • Bochev, P., Ridzal, D., D’Elia, M., Perego, M., Peterson, K., & Peterson, K. (2020). Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to Algebraic Flux Correction. Computer Methods in Applied Mechanics and Engineering, 367. https://doi.org/10.1016/j.cma.2020.112982 Publication ID: 68885
  • Trask, N.A., Bochev, P., Perego, M., & Perego, M. (2020). A conservative, consistent, and scalable meshfree mimetic method. Journal of Computational Physics, 409(C). https://doi.org/10.1016/j.jcp.2019.109187 Publication ID: 67460
  • D’Elia, M., Bochev, P., Gunzburger, M., Capodaglio, G., & Capodaglio, G. (2020). An energy-based coupling approach to nonlocal interface problems. https://doi.org/10.2172/1618813 Publication ID: 106032
  • D’Elia, M., du, Q., Glusa, C., Gunzburger, M., Tian, X., Zhou, Z., & Zhou, Z. (2020). Numerical methods for nonlocal and fractional models. Acta Numerica. https://doi.org/10.2172/1598758 Publication ID: 105220
  • D’Elia, M., Gulian, M., Karniadakis, G., Olson, H., & Olson, H. (2020). A Unified Theory of Fractional Nonlocal and Weighted Nonlocal Vector Calculus. https://doi.org/10.2172/1618398 Publication ID: 106024
  • Aadithya, K.V., Kuberry, P., Keiter, E., Bochev, P., Mar, A., Mei, T., Paskaleva, B.S., Leeson, K.M., & Leeson, K.M. (2020). Using ML to Develop Compact Models [Presentation]. https://www.osti.gov/biblio/1779603 Publication ID: 73330
  • Lischke, A., Pang, G., Gulian, M., Song, F., Glusa, C., Zheng, X., Mao, Z., Cai, W., Meerschaert, M.M., Ainsworth, M., Karniadakis, G.E., & Karniadakis, G.E. (2020). What is the fractional Laplacian? A comparative review with new results. Journal of Computational Physics, 404. https://doi.org/10.1016/j.jcp.2019.109009 Publication ID: 66165
  • Hu, J.J., Glusa, C., Moore, S.G., Lin, P., Phillips, E., Bettencourt, M.T., Bachman, W.B., Siefert, C., Rajamanickam, S., & Rajamanickam, S. (2020). Linear Solvers for Plasma Simulations on Advanced Architectures [Conference Poster]. https://www.osti.gov/biblio/1765804 Publication ID: 72530
  • Berger-Vergiat, L., Hu, J.J., Tuminaro, R.S., Siefert, C., Glusa, C., & Glusa, C. (2020). MueLu’s Algorithmic Performance on GPU [Conference Poster]. https://www.osti.gov/biblio/1766725 Publication ID: 72589
  • Ridzal, D., Bochev, P., & Bochev, P. (2020). Optimization-based property-preserving solution recovery for fault-tolerant scalar transport [Conference Poster]. Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081059417&origin=inward Publication ID: 62461
  • Kuberry, P., Perego, M., Trask, N.A., Bochev, P., & Bochev, P. (2020). Field reconstruction from Raviart-Thomas Nedelec and finite volume degrees-of-freedom using Generalized Moving Least Squares [Conference Poster]. https://www.osti.gov/biblio/1761038 Publication ID: 70722
  • Aadithya, K.V., Kuberry, P., Paskaleva, B.S., Bochev, P., Leeson, K.M., Mar, A., Mei, T., Keiter, E., & Keiter, E. (2020). Data-driven Compact Models for Circuit Design and Analysis [Conference Poster]. Proceedings of Machine Learning Research. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85142127276&origin=inward Publication ID: 74199
  • Cyr, E.C., Gulian, M., Patel, R., Perego, M., Trask, N.A., & Trask, N.A. (2020). Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint [Conference Poster]. Proceedings of Machine Learning Research. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85162649507&origin=inward Publication ID: 74202
  • Anguiano, M., Kuberry, P., Bochev, P., Masud, A., & Masud, A. (2020). Synchronous and concurrent multidomain computing method for cloud computing platforms. SIAM Journal on Scientific Computing, 43(5), pp. S565-S591. https://doi.org/10.1137/20m1349278 Publication ID: 79092
  • Cyr, E.C., Gulian, M., Patel, R., Perego, M., Trask, N.A., & Trask, N.A. (2019). Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint [Conference Poster]. https://www.osti.gov/biblio/1643463 Publication ID: 66738
  • Aadithya, K.V., Kuberry, P., Paskaleva, B.S., Bochev, P., Leeson, K.M., Mar, A., Mei, T., Keiter, E., & Keiter, E. (2019). Development, Demonstration and Validation of Data-Driven Compact Diode Models for Circuit Simulation and Analysis. https://doi.org/10.2172/1592881 Publication ID: 66892
  • Cyr, E.C., Gulian, M., Patel, R., Perego, M., Trask, N.A., Ridzal, D., Guenther, S., Ruthotto, L., Schroder, J.B., Gauger, N.R., & Gauger, N.R. (2019). Improved Neural Network Training: Layer-Parallelism Least-squares and Initialization [Conference Poster]. https://www.osti.gov/biblio/1643364 Publication ID: 66945
  • D’Elia, M., Bochev, P., & Bochev, P. (2019). Formulation analysis and computation of an optimization-based local-to-nonlocal coupling method. https://doi.org/10.2172/1572228 Publication ID: 65904
  • Glusa, C., D’Elia, M., Antil, H., Weiss, C.J., van Bloemen Waanders, B.G., & van Bloemen Waanders, B.G. (2019). A Fast Solver for the Fractional Helmholtz Equation. https://doi.org/10.2172/1569144 Publication ID: 65029
  • Gulian, M., Raissi, M., Bachman, W.B., Karniadakis, G., & Karniadakis, G. (2019). Machine Learning of Space-Fractional Differential Equations [Conference Poster]. https://doi.org/10.1137/18M1204991 Publication ID: 65842
  • Sockwell, K.C., Kuberry, P., Bochev, P., Trask, N.A., Peterson, K., & Peterson, K. (2019). Bulk-Interface-Flux-Recovery (Bulk-IFR) Method for Coupling the Atmosphere-Ocean Interface [Conference Poster]. https://www.osti.gov/biblio/1642998 Publication ID: 65903
  • Glusa, C. (2019). Asynchronous Domain Decomposition Solvers [Conference Poster]. https://www.osti.gov/biblio/1641965 Publication ID: 64835
  • Bochev, P., Bosler, P.A., Kuberry, P., Perego, M., Peterson, K., Trask, N.A., & Trask, N.A. (2019). Compatible Particle Discretizations (Final LDRD Report). https://doi.org/10.2172/1569143 Publication ID: 65024
  • Aadithya, K.V., Kuberry, P., Keiter, E., Bochev, P., Mar, A., Mei, T., Paskaleva, B.S., Leeson, K.M., & Leeson, K.M. (2019). Data-driven Circuit Design From Electrical Measurement Data To Compact Device Models [Conference Poster]. https://www.osti.gov/biblio/1641510 Publication ID: 70299
  • Glusa, C., Hu, J.J., & Hu, J.J. (2019). Krylov Solvers and Algebraic Multigrid [Presentation]. https://www.osti.gov/biblio/1645719 Publication ID: 70301
  • Bochev, P., Trask, N.A., Perego, M., & Perego, M. (2019). Mimetic meshfree methods or how to be compatible without a mesh [Conference Poster]. https://www.osti.gov/biblio/1641675 Publication ID: 70529
  • Bochev, P., Kuberry, P., Trask, N.A., Perego, M., & Perego, M. (2019). The amazing powers of Generalized Moving Least-Squares [Conference Poster]. https://www.osti.gov/biblio/1641676 Publication ID: 70530
  • Tuminaro, R.S., Shadid, J.N., Cyr, E.C., Lin, P.T., Pawlowski, R., Phillips, E., Wiesner, T., Adler, J., Benson, T., Chacon, L., Farrell, P., Rappaport, A., MacLachlan, S., Hu, J.J., Berger-Vergiat, L., Glusa, C., Siefert, C., & Siefert, C. (2019). Scalable Preconditioners to Improve Time to Solution for Magnetohydrodynamics Applications [Presentation]. https://www.osti.gov/biblio/1645823 Publication ID: 70609
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  • Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2019). Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers. Computers and Mathematics with Applications, 78(2), pp. 459-482. https://doi.org/10.1016/j.camwa.2018.09.045 Publication ID: 60611
  • Kuberry, P., Perego, M., Trask, N.A., Bochev, P., & Bochev, P. (2019). The Compadre Toolkit for Native Degrees-of-Freedom [Conference Poster]. https://www.osti.gov/biblio/1641034 Publication ID: 69548
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  • Bochev, P., Peterson, K., Kuberry, P., Trask, N.A., & Trask, N.A. (2019). Non-iterative partitioned methods based on monolithic formulations of the coupled problem [Conference Poster]. https://www.osti.gov/biblio/1641144 Publication ID: 69702
  • Perego, M., Bochev, P., Kuberry, P., Trask, N.A., & Trask, N.A. (2019). Generalized Moving Least Squares: Approximation Theory and Applications [Presentation]. https://www.osti.gov/biblio/1645573 Publication ID: 69710
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  • Bochev, P., Trask, N.A., Kuberry, P., Perego, M., & Perego, M. (2019). Mesh-hardened finite element analysis through a Generalized Moving Least-Squares approximation of variational problems [Conference Poster]. https://doi.org/10.1007/978-3-030-41032-2_7 Publication ID: 68604
  • Trask, N.A., Bochev, P., Perego, M., & Perego, M. (2019). Mimetic Conservation Principles for Meshfree Approximation [Conference Poster]. https://www.osti.gov/biblio/1640111 Publication ID: 68686
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  • Perego, M., Bochev, P., Bosler, P.A., Kuberry, P., Peterson, K., Trask, N.A., & Trask, N.A. (2019). Advances in the Approximation Theory of Generalized Moving Least Squares [Conference Poster]. https://www.osti.gov/biblio/1640218 Publication ID: 68848
  • Peterson, K., Bochev, P., Kuberry, P., Trask, N.A., & Trask, N.A. (2019). Lagrange-Multiplier-Based Partitioned Method for Ocean-Atmosphere Coupling [Conference Poster]. https://www.osti.gov/biblio/1640221 Publication ID: 68854
  • Perego, M., Bochev, P., Trask, N.A., Bosler, P.A., Kuberry, P., Peterson, K., & Peterson, K. (2019). Advances in the Approximation Theory for Generalized Moving Least Squares [Conference Poster]. https://www.osti.gov/biblio/1639699 Publication ID: 67960
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  • Hu, J.J., Glusa, C., Lin, P.T., Phillips, E., Bachman, W.B., Siefert, C., Rajamanickam, S., & Rajamanickam, S. (2019). Large Scale Parallel Solution Methods for Electromagnetic Simulations [Conference Poster]. https://www.osti.gov/biblio/1602925 Publication ID: 67190
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  • Berger-Vergiat, L., Glusa, C., Hu, J.J., Siefert, C., Tuminaro, R.S., Mayr, M., Prokopenko, A., Wiesner, T., & Wiesner, T. (2019). MueLu User’s Guide. https://doi.org/10.2172/1491860 Publication ID: 64392
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  • Boman, E.G., Chow, E., Dongarra, J., Glusa, C., Rajamanickam, S., Szyld, D., Yamazaki, I., & Yamazaki, I. (2019). Asynchronous Iterative Solvers for Extreme Scale [Presentation]. https://www.osti.gov/biblio/1596422 Publication ID: 64517
  • Kuberry, P., Bosler, P.A., Trask, N.A., Perego, M., Peterson, K., Bochev, P., & Bochev, P. (2018). The Compadre Toolkit [Conference Poster]. https://www.osti.gov/biblio/1594258 Publication ID: 59467
  • Bochev, P., Trask, N.A., Kuberry, P., Perego, M., Peterson, K., Bosler, P.A., & Bosler, P.A. (2018). Compatible meshless methods for DPEs [Conference Poster]. https://www.osti.gov/biblio/1806965 Publication ID: 59543
  • Glusa, C. (2018). RefMaxwell – MueLu’s Maxwell solver [Presentation]. https://www.osti.gov/biblio/1593000 Publication ID: 59789
  • Bettencourt, M.T., Kramer, R.M.J., Cartwright, K.L., Phillips, E., Ober, C.C., Pawlowski, R., Swan, M.S., Tezaur, I.K., Phipps, E.T., Conde, S., Cyr, E.C., Ulmer, C.D., Kordenbrock, T., Levy, S.L.N., Templet, G.J., Hu, J.J., Lin, P.T., Glusa, C., Siefert, C., Glass, M.W., & Glass, M.W. (2018). ASC ATDM Level 2 Milestone #6358: Assess Status of Next Generation Components and Physics Models in EMPIRE. https://doi.org/10.2172/1493832 Publication ID: 58868
  • Glusa, C., Ainsworth, M., & Ainsworth, M. (2018). Hybrid Finite Element–Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver. SIAM Journal on Scientific Computing, 40(4). https://doi.org/10.1137/17M1144696 Publication ID: 62261
  • Glusa, C. (2018). A Maxwell Solver for Next-Generation Platforms [Conference Poster]. https://www.osti.gov/biblio/1532820 Publication ID: 62953
  • Trask, N.A., Perego, M., Bochev, P., & Bochev, P. (2018). Discretely conservative meshfree schemes for conservation laws [Conference Poster]. https://www.osti.gov/biblio/1806699 Publication ID: 63328
  • Perego, M., Bochev, P., Trask, N.A., Bosler, P.A., Kuberry, P., Peterson, K., & Peterson, K. (2018). Advances in the Approximation Theory for Functional Reconstructions Using GMLS and Applications to Meshless Discretization of Differential Equations [Conference Poster]. https://www.osti.gov/biblio/1573545 Publication ID: 63442
  • Peterson, K., Bochev, P., Kuberry, P., & Kuberry, P. (2018). Explicit Partitioned Methods for Interface Coupling [Conference Poster]. https://www.osti.gov/biblio/1574283 Publication ID: 63478
  • Bochev, P., Perego, M., D’Elia, M., Ridzal, D., Peterson, K., & Peterson, K. (2018). Optimization-based property preserving finite element methods for transport equations [Conference Poster]. https://www.osti.gov/biblio/1525706 Publication ID: 62428
  • Kuberry, P., Bochev, P., Peterson, K., & Peterson, K. (2018). A VIRTUAL CONTROL MESH-FREE COUPLING METHOD FOR NON-COINCIDENT INTERFACES [Conference Poster]. https://www.osti.gov/biblio/1525927 Publication ID: 62466
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May 9, 2023