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

Amy de Castro, Paul Kuberry, Irina Tezaur, Pavel Bochev, (2023). A Novel Partitioned Approach for Reduced Order Model—Finite Element Model (ROM-FEM) and ROM-ROM Coupling Earth and Space 2022 https://doi.org/10.1061/9780784484470.044 Publication ID: 80830

Marta D’Elia, Mamikon Gulian, Tadele Mengesha, James Scott, (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

Marta D’Elia, Christian Glusa, (2022). A fractional model for anomalous diffusion with increased variability: Analysis, algorithms and applications to interface problems Numerical Methods for Partial Differential Equations https://doi.org/10.1002/num.22865 Publication ID: 75443

Marta D’Elia, Pavel Bochev, John Foster, Christian Glusa, Mamikon Gulian, Max Gunzburger, Jeremy Trageser, Kristopher Kuhlman, Mario Martinez, Habib Najm, Stewart Silling, Michael Tupek, Xiao Xu, (2022). Mathematical Foundations for Nonlocal Interface Problems: Multiscale Simulations of Heterogeneous Materials (Final LDRD Report) https://doi.org/10.2172/1888162 Publication ID: 80232

Vijay Mahadevan, Jorge Guerra, Xiangmin Jiao, Paul Kuberry, Yipeng Li, Paul Ullrich, David Marsico, Robert Jacob, Pavel Bochev, Philip Jones, (2022). Metrics for Intercomparison of Remapping Algorithms (MIRA) protocol applied to Earth system models Geoscientific Model Development https://doi.org/10.5194/gmd-15-6601-2022 Publication ID: 80860

Olena Burkovska, Christian Glusa, Marta D’Elia, (2022). An optimization-based approach to parameter learning for fractional type nonlocal models Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2021.05.005 Publication ID: 78671

Marta D’Elia, Christian Glusa, Xiao Xu, John Foster, (2022). Machine-Learning of Nonlocal Kernels for Anomalous Subsurface Transport from Breakthrough Curves https://doi.org/10.2172/1842267 Publication ID: 79996

Jorge Suzuki, Mamikon Gulian, Mohsen Zayernouri, Marta D’Elia, (2022). 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

Mamikon Gulian, A. Frankel, L. Swiler, (2022). Gaussian process regression constrained by boundary value problems Computer Methods in Applied Mechanics and Engineering https://doi.org/10.1016/j.cma.2021.114117 Publication ID: 75489

Xiao Xu, Christian Glusa, Marta D’Elia, John Foster, (2021). A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems Computer Methods in Applied Mechanics and Engineering https://doi.org/10.1016/j.cma.2021.114148 Publication ID: 75442

Christian Glusa, (2021). PyNucleus – A FEM code for nonlocal problems https://doi.org/10.2172/1900339 Publication ID: 76959

Marta D’Elia, Pavel Bochev, Mauro Perego, Jeremy Trageser, David Littlewood, (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

Kenneth Sockwell, Paul Kuberry, James Tucker, Pavel Bochev, (2021). Automated Discovery of DOminaNt physics Informed Surrogates (ADDONIS) Framework https://www.osti.gov/servlets/purl/1894021 Publication ID: 76392

Seher Acer, Erik Boman, Christian Glusa, Sivasankaran Rajamanickam, (2021). Sphynx: A parallel multi-GPU graph partitioner for distributed-memory systems Parallel Computing https://doi.org/10.2172/1853867 Publication ID: 77409

Charles Hembree, Joshua Hanson, Biliana Paskaleva, Pavel Bochev, Eric Keiter, Alan Mar, Ting Mei, (2021). Semiconductor Device Models Constructed Using Simple Elements and Auxiliary Dynamics https://doi.org/10.2172/1890913 Publication ID: 75902

Paul Kuberry, Ting Mei, Eric Keiter, Biliana Paskaleva, Pavel Bochev, Joshua Hanson, (2021). Xyce Python Model Interpreter (Xyce-PyMi) for enabling ML advancements in production circuit simulation software https://doi.org/10.2172/1889549 Publication ID: 75928

Mamikon Gulian, (2021). Robust architectures, initialization, and training for deep neural networks via the adaptive basis interpretation https://doi.org/10.2172/1889595 Publication ID: 75730

Seher Acer, Erik Boman, Christian Glusa, Sivasankaran Rajamanickam, (2021). Sphynx: a parallel multi-GPU graph partitioner https://doi.org/10.2172/1882077 Publication ID: 79650

Mamikon Gulian, (2021). Data-driven learning of nonlocal physics from high-fidelity synthetic data https://doi.org/10.2172/1888123 Publication ID: 75404

Jonathan Hu, Christian Glusa, (2021). Recent Advances in Maxwell Solvers for PIC Simulations Across Architectures https://doi.org/10.2172/1888437 Publication ID: 79110

Jennifer Loe, Christian Glusa, Ichitaro Yamazaki, Erik Boman, Sivasankaran Rajamanickam, (2021). Properties of GMRES with Iterative Refinement on GPUs https://doi.org/10.2172/1884157 Publication ID: 79139

Marta D’Elia, Hayley Olson, Mamikon Gulian, (2021). Comparison of Tempered and Truncated Fractional Models https://doi.org/10.2172/1888466 Publication ID: 79402

Mamikon Gulian, (2021). Partition of Unity Networks for Deterministic and Probabilistic Regression https://www.osti.gov/servlets/purl/1888667 Publication ID: 79485

Mamikon Gulian, (2021). Robust architectures, initialization, and training for deep neural networks https://www.osti.gov/servlets/purl/1888396 Publication ID: 79244

Mamikon Gulian, (2021). Gaussian Process Regression constrained by Boundary Value Problems https://doi.org/10.2172/1883509 Publication ID: 79507

Joshua Hanson, Biliana Paskaleva, Pavel Bochev, Eric Keiter, Charles Hembree, Paul Kuberry, (2021). A Numerical Compact Photocurrent Model and its Implementation via Xyce-PyMi https://doi.org/10.2172/1876997 Publication ID: 79274

Jennifer Loe, Christian Glusa, Ichitaro Yamazaki, Erik Boman, Sivasankaran Rajamanickam, (2021). Experimental Evaluation of Multiprecision Strategies for GMRES on GPUs 2021 IEEE International Parallel and Distributed Processing Symposium Workshops, IPDPSW 2021 – In conjunction with IEEE IPDPS 2021 https://doi.org/10.1109/IPDPSW52791.2021.00078 Publication ID: 77887

Kenneth Sockwell, Pavel Bochev, Kara Peterson, Paul Kuberry, (2021). The Interface-Flux-Recovery (IFR) Methodfor Conservative and Stable Coupling Schemesin Geophysical Fluids and Mechanics https://doi.org/10.2172/1877832 Publication ID: 78801

Eric Cyr, Mamikon Gulian, Kookjin Lee, Ravi Patel, Mauro Perego, Nathaniel Trask, (2021). An Adaptive Basis Perspective to Improve Initialization and Accelerate Training of DNNs https://www.osti.gov/servlets/purl/1872708 Publication ID: 78814

Christian Glusa, (2021). A Fractional Model for Anomalous Diffusion with Increased Variability https://doi.org/10.2172/1873280 Publication ID: 78836

Pavel Bochev, (2021). A hybrid analytic-numerical compact model for radiation-induced photocurrent effects https://www.osti.gov/servlets/purl/1884185 Publication ID: 78609

Mamikon Gulian, (2021). Analysis of Anisotropic Nonlocal Diffusion Models: Well-posedness of Fractional Problems for Anomalous Transport https://doi.org/10.2172/1870369 Publication ID: 78630

Jennifer Loe, Christian Glusa, Ichitaro Yamazaki, Erik Boman, Sivasankaran Rajamanickam, (2021). Experimental Evaluation of Multiprecision Strategies for GMRES on GPUs https://doi.org/10.2172/1869548 Publication ID: 78515

Christopher Siefert, Raymond Tuminaro, Christian Glusa, John Kaushagen, (2021). Multilevel Methods for Maxwell’s Equations https://doi.org/10.2172/1869378 Publication ID: 78523

Mamikon Gulian, (2021). Robust architectures initialization and training for deep neural networks via the adaptive basis interpretation https://www.osti.gov/servlets/purl/1866561 Publication ID: 78329

Christian Glusa, (2021). Optimal Control for the Fractional Laplacian https://doi.org/10.2172/1853869 Publication ID: 77411

Paul Kuberry, Kara Peterson, Pavel Bochev, (2021). Generalized Moving Least Squares (GMLS) with Clip and Assured Sum (CAAS) Post-processing for Earth System Remap https://doi.org/10.2172/1854070 Publication ID: 77433

Mamikon Gulian, (2021). Data-driven learning of nonlocal physics from high-fidelity synthetic data https://doi.org/10.2172/1854073 Publication ID: 77436

Jennifer Loe, Christian Glusa, Ichitaro Yamazaki, Erik Boman, Sivasankaran Rajamanickam, (2021). Multiprecision Krylov Solvers in Kokkos and Belos https://doi.org/10.2172/1854310 Publication ID: 77452

Luc Berger-Vergiat, Jonathan Hu, Christian Glusa, Christopher Siefert, (2021). Portability of Nalu-Wind using Trilinos and Kokkos Libraries https://doi.org/10.2172/1854321 Publication ID: 77462

Mamikon Gulian, (2021). A block coordinate descent optimizer for classification problems exploiting convexity https://doi.org/10.2172/1859695 Publication ID: 77748

Huaiqian You, Yue Yu, Nathaniel Trask, Mamikon Gulian, Marta D’Elia, (2021). Data-driven learning of nonlocal physics from high-fidelity synthetic data Computer Methods in Applied Mechanics and Engineering https://doi.org/10.1016/j.cma.2020.113553 Publication ID: 73539

Eric Cyr, Mamikon Gulian, Ravi Patel, Mauro Perego, Nathaniel Trask, (2021). An Adaptive Basis Perspective to Improve Initialization and Accelerate Training of DNNs https://doi.org/10.2172/1847582 Publication ID: 77381

Marta D’Elia, Pavel Bochev, (2021). Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method Results in Applied Mathematics https://doi.org/10.1016/j.rinam.2020.100129 Publication ID: 53184

Laura Swiler, Mamikon Gulian, A. Frankel, Cosmin Safta, John Jakeman, (2021). Constrained Gaussian Processes: A Survey https://doi.org/10.2172/1847480 Publication ID: 77280

Marta D’Elia, Mamikon Gulian, (2021). Analysis of Anisotropic Nonlocal Diffusion Models: Well-posedness of Fractional Problems for Anomalous Transport https://doi.org/10.2172/1763574 Publication ID: 75004

Ravi Patel, Nathaniel Trask, Mamikon Gulian, Eric Cyr, (2021). A block coordinate descent optimizer for classification problems exploiting convexity CEUR Workshop Proceedings https://www.osti.gov/servlets/purl/1855748 Publication ID: 77621

Christian Glusa, HARBIR ANTIL, Marta D’Elia, Bart van Bloemen Waanders, Chester Weiss, (2021). A fast solver for the fractional helmholtz equation SIAM Journal on Scientific Computing https://doi.org/10.1137/19M1302351 Publication ID: 75065

Christian Glusa, Marta D’Elia, (2021). Nonlocal operators with variable coefficients https://doi.org/10.2172/1854680 Publication ID: 75068

Mamikon Gulian, (2021). A Unified Theory of Fractional Nonlocal and Weighted Nonlocal Vector Calculus https://doi.org/10.2172/1841821 Publication ID: 75102

Christian Glusa, ENRIQUE OTAROLA, (2021). Error estimates for the optimal control of a parabolic fractional pde SIAM Journal on Numerical Analysis https://doi.org/10.1137/19m1267581 Publication ID: 72369

Matthew Bettencourt, Dominic Brown, Keith Cartwright, Eric Cyr, Christian Glusa, Paul Lin, Stan Moore, Duncan McGregor, Roger Pawlowski, Edward Phillips, Nathan Roberts, Steven Wright, Satheesh Maheswaran, John Jones, Stephen Jarvis, (2021). EMPIRE-PIC: A performance portable unstructured particle-in-cell code Communications in Computational Physics https://doi.org/10.4208/cicp.oa-2020-0261 Publication ID: 77552

Christian Glusa, Erik Boman, Edmond Chow, Sivasankaran Rajamanickam, Daniel Szyld, (2020). Scalable asynchronous domain decomposition solvers SIAM Journal on Scientific Computing https://doi.org/10.1137/19m1291303 Publication ID: 74483

Lee Kookjin, Nathaniel Trask, Ravi Patel, Mamikon Gulian, Eric Cyr, (2020). Partition of unity networks: data-driven meshfree hp-approximation https://www.osti.gov/servlets/purl/1835970 Publication ID: 72183

Jennifer Loe, Christian Glusa, Ichitaro Yamazaki, Erik Boman, Sivasankaran Rajamanickam, (2020). Mixed-Precision GMRES in Trilinos https://doi.org/10.2172/1833786 Publication ID: 71988

Jennifer Loe, Christian Glusa, Erik Boman, Ichitaro Yamazaki, Sivasankaran Rajamanickam, (2020). Multiprecision Krylov Solvers in Trilinos https://www.osti.gov/servlets/purl/1829961 Publication ID: 71611

Jennifer Loe, Christian Glusa, Erik Boman, Ichitaro Yamazaki, Sivasankaran Rajamanickam, (2020). Multiprecision GMRES in Trilinos packages Belos and Kokkos https://doi.org/10.2172/1832692 Publication ID: 71889

Kenneth Sockwell, Kara Peterson, Pavel Bochev, Paul Kuberry, (2020). Bulk-Interface-Flux-Recovery (Bulk-IFR) Methodfor Coupling the Atmosphere-Ocean Interface https://doi.org/10.2172/1832721 Publication ID: 71898

K. Sockwell, Kara Peterson, Paul Kuberry, Pavel Bochev, Nat Trask, (2020). Interface Flux Recovery coupling method for the ocean–atmosphere system Results in Applied Mathematics https://doi.org/10.1016/j.rinam.2020.100110 Publication ID: 73208

Paul Kuberry, Nathaniel Trask, Jacob Koester, Pavel Bochev, (2020). Regression Based Approach for Robust Finite Element Analysis on Arbitrary Grids (REBAR) https://www.osti.gov/servlets/purl/1822641 Publication ID: 70985

Pavel Bochev, Denis Ridzal, Marta D’Elia, Mauro Perego, Kara Peterson, (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 https://doi.org/10.1016/j.cma.2020.112982 Publication ID: 68885

Joshua Hanson, Pavel Bochev, Biliana Paskaleva, (2020). Learning Compact Physics-Aware Photocurrent Models Using Dynamic Mode Decomposition https://doi.org/10.1002/sam.11485 Publication ID: 74536

Mamikon Gulian, Laura Swiler, A. Frankel, Cosmin Safta, John Jakeman, (2020). A Survey of Constrained Gaussian Process Regression: Approaches and Implementation Challenges https://www.osti.gov/servlets/purl/1814448 Publication ID: 74592

Mamikon Gulian, Eric Cyr, Ravi Patel, Mauro Perego, Nathaniel Trask, (2020). Robust training and initialization of deep neural networks: an adaptive basis viewpoint https://www.osti.gov/servlets/purl/1808257 Publication ID: 74043

Mamikon Gulian, Laura Swiler, A. Frankel, John Jakeman, Cosmin Safta, (2020). A Survey of Constrained Gaussian Process Regression: Approaches and Implementation Challenges https://www.osti.gov/servlets/purl/1812282 Publication ID: 74359

Karthik Aadithya, Paul Kuberry, Biliana Paskaleva, Pavel Bochev, Kenneth Leeson, Alan Mar, Ting Mei, Eric Keiter, (2020). Data-Driven Compact Models for Circuit Design and Analysis https://www.osti.gov/servlets/purl/1810271 Publication ID: 74199

Eric Cyr, Mamikon Gulian, Ravi Patel, Mauro Perego, Nathaniel Trask, (2020). Robust Training and Initialization of Deep Neural Networks An Adaptive Basis Viewpoint https://www.osti.gov/servlets/purl/1810691 Publication ID: 74202

Jonathan Hu, Christian Glusa, (2020). One slide overviews of the Belos and MueLu Libraries in Trilinos https://www.osti.gov/servlets/purl/1810699 Publication ID: 74210

Ravi Patel, Nathaniel Trask, Mamikon Gulian, Eric Cyr, (2020). A block coordinate descent optimizer for classification problems exploiting convexity Arxiv https://www.osti.gov/servlets/purl/1834091 Publication ID: 73782

Pavel Bochev, (2020). Data driven photocurrent models https://www.osti.gov/servlets/purl/1804988 Publication ID: 73925

Nathaniel Trask, Pavel Bochev, Mauro Perego, (2020). A conservative, consistent, and scalable meshfree mimetic method Journal of Computational Physics https://doi.org/10.1016/j.jcp.2019.109187 Publication ID: 67460

Marta D’Elia, Qiang Du, Christian Glusa, Max Gunzburger, Xiaochuan Tian, Zhi Zhou, (2020). Numerical methods for nonlocal and fractional models Acta Numerica https://doi.org/10.1017/s096249292000001x Publication ID: 77290

Karthik Aadithya, Paul Kuberry, Eric Keiter, Pavel Bochev, Alan Mar, Ting Mei, Biliana Paskaleva, Kenneth Leeson, (2020). Using ML to Develop Compact Models https://www.osti.gov/servlets/purl/1779603 Publication ID: 73330

Anna Lischke, Guofei Pang, Mamikon Gulian, Fangying Song, Christian Glusa, Xiaoning Zheng, Zhiping Mao, Wei Cai, Mark Meerschaert, Mark Ainsworth, George Karniadakis, (2020). What is the fractional Laplacian? A comparative review with new results Journal of Computational Physics https://doi.org/10.1016/j.jcp.2019.109009 Publication ID: 66165

Jonathan Hu, Christian Glusa, Stan Moore, Paul Lin, Edward Phillips, Matthew Bettencourt, James Elliott, Christopher Siefert, Sivasankaran Rajamanickam, (2020). Linear Solvers for Plasma Simulations on Advanced Architectures https://www.osti.gov/servlets/purl/1765804 Publication ID: 72530

Luc Berger-Vergiat, Jonathan Hu, Raymond Tuminaro, Christopher Siefert, Christian Glusa, (2020). MueLu’s Algorithmic Performance on GPU https://www.osti.gov/servlets/purl/1766725 Publication ID: 72589

Paul Kuberry, Pavel Bochev, Kara Peterson, (2020). A virtual control, mesh-free coupling method for non-coincident interfaces 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.osti.gov/servlets/purl/1525927 Publication ID: 62466

Paul Kuberry, Mauro Perego, Nathaniel Trask, Pavel Bochev, (2020). Field reconstruction from Raviart-Thomas Nedelec and finite volume degrees-of-freedom using Generalized Moving Least Squares https://www.osti.gov/servlets/purl/1761038 Publication ID: 70722

Pavel Bochev, N. Trask, Paul Kuberry, Mauro Perego, (2020). Mesh-Hardened Finite Element Analysis Through a Generalized Moving Least-Squares Approximation of Variational Problems Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://doi.org/10.1007/978-3-030-41032-2_7 Publication ID: 67278

Marcelino Anguiano, Paul Kuberry, Pavel Bochev, Arif Masud, (2020). Synchronous and concurrent multidomain computing method for cloud computing platforms SIAM Journal on Scientific Computing https://doi.org/10.1137/20m1349278 Publication ID: 79092

Denis Ridzal, Pavel Bochev, (2020). Optimization-based property-preserving solution recovery for fault-tolerant scalar transport 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.osti.gov/servlets/purl/1525952 Publication ID: 62461

Karthik Aadithya, Paul Kuberry, Biliana Paskaleva, Pavel Bochev, Kenneth Leeson, Alan Mar, Ting Mei, Eric Keiter, (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

Eric Cyr, Mamikon Gulian, Ravi Patel, Mauro Perego, Nathaniel Trask, Denis Ridzal, Stefanie Guenther, Lars Ruthotto, Jacob Schroder, Nico Gauger, (2019). Improved Neural Network Training: Layer-Parallelism Least-squares and Initialization https://www.osti.gov/servlets/purl/1643364 Publication ID: 66945

Eric Cyr, Mamikon Gulian, Ravi Patel, Mauro Perego, Nathaniel Trask, (2019). Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint https://www.osti.gov/servlets/purl/1643463 Publication ID: 66738

Mamikon Gulian, Maziar Raissi, George Karniadakis, (2019). Machine Learning of Space-Fractional Differential Equations https://doi.org/10.1137/18M1204991 Publication ID: 65842

Kenneth Sockwell, Paul Kuberry, Pavel Bochev, Nathaniel Trask, Kara Peterson, (2019). Bulk-Interface-Flux-Recovery (Bulk-IFR) Method for Coupling the Atmosphere-Ocean Interface https://www.osti.gov/servlets/purl/1642998 Publication ID: 65903

Marta D’Elia, Pavel Bochev, (2019). Formulation analysis and computation of an optimization-based local-to-nonlocal coupling method https://doi.org/10.2172/1572228 Publication ID: 65904

Pavel Bochev, Peter Bosler, Paul Kuberry, Mauro Perego, Kara Peterson, Nathaniel Trask, (2019). Compatible Particle Discretizations. Final LDRD Report https://doi.org/10.2172/1569143 Publication ID: 65024

Christian Glusa, Marta D’Elia, Harbir Antil, Chester Weiss, Bart van Bloemen Waanders, (2019). A Fast Solver for the Fractional Helmholtz Equation https://doi.org/10.2172/1569144 Publication ID: 65029

Christian Glusa, (2019). Asynchronous Domain Decomposition Solvers https://www.osti.gov/servlets/purl/1641965 Publication ID: 64835

Pavel Bochev, Nathaniel Trask, Mauro Perego, (2019). Mimetic meshfree methods or how to be compatible without a mesh https://www.osti.gov/servlets/purl/1641675 Publication ID: 70529

Pavel Bochev, Paul Kuberry, Nathaniel Trask, Mauro Perego, (2019). The amazing powers of Generalized Moving Least-Squares https://www.osti.gov/servlets/purl/1641676 Publication ID: 70530

Karthik Aadithya, Paul Kuberry, Eric Keiter, Pavel Bochev, Alan Mar, Ting Mei, Biliana Paskaleva, Kenneth Leeson, (2019). Data-driven Circuit Design From Electrical Measurement Data To Compact Device Models https://www.osti.gov/servlets/purl/1641510 Publication ID: 70299

Christian Glusa, Christian Glusa, Jonathan Hu, Jonathan Hu, (2019). Krylov Solvers and Algebraic Multigrid https://www.osti.gov/servlets/purl/1645719 Publication ID: 70301

Raymond Tuminaro, John Shadid, Eric Cyr, Paul Lin, Roger Pawlowski, Edward Phillips, Tobias Wiesner, James Adler, Tom Benson, Luis Chacon, Patrick Farrell, Ari Rappaport, Scott MacLachlan, Jonathan Hu, Luc Berger-Vergiat, Christian Glusa, Christopher Siefert, (2019). Scalable Preconditioners to Improve Time to Solution for Magnetohydrodynamics Applications https://www.osti.gov/servlets/purl/1645823 Publication ID: 70609

Kara Peterson, Pavel Bochev, Paul Kuberry, (2019). Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2018.09.045 Publication ID: 60611

Jonathan Hu, Christian Glusa, (2019). Overview of the Trilinos packages Belos and MueLu https://www.osti.gov/servlets/purl/1645691 Publication ID: 70195

Pavel Bochev, Kara Peterson, Paul Kuberry, Nathaniel Trask, (2019). Non-iterative partitioned methods based on monolithic formulations of the coupled problem https://www.osti.gov/servlets/purl/1641144 Publication ID: 69702

Mauro Perego, Pavel Bochev, Paul Kuberry, Nathaniel Trask, (2019). Generalized Moving Least Squares: Approximation Theory and Applications https://www.osti.gov/servlets/purl/1645573 Publication ID: 69710

Paul Kuberry, Mauro Perego, Nathaniel Trask, Pavel Bochev, (2019). The Compadre Toolkit for Native Degrees-of-Freedom https://www.osti.gov/servlets/purl/1641034 Publication ID: 69548

Christian Glusa, (2019). Asynchronous Domain Decomposition Solvers https://www.osti.gov/servlets/purl/1641087 Publication ID: 69620

Nathaniel Trask, Pavel Bochev, Mauro Perego, (2019). Mimetic Conservation Principles for Meshfree Approximation https://www.osti.gov/servlets/purl/1640111 Publication ID: 68686

Pavel Bochev, Paul Kuberry, Kara Peterson, (2019). Explicit Partitioned Methods based on Monolithic Formulations of the Coupled Problem https://www.osti.gov/servlets/purl/1640129 Publication ID: 68717

Paul Kuberry, Mauro Perego, Nathaniel Trask, Pavel Bochev, (2019). Field reconstruction from native degrees-of-freedom using the Compadre Toolkit https://www.osti.gov/servlets/purl/1640167 Publication ID: 68779

Mauro Perego, Pavel Bochev, Peter Bosler, Paul Kuberry, Kara Peterson, Nathaniel Trask, (2019). Advances in the Approximation Theory of Generalized Moving Least Squares https://www.osti.gov/servlets/purl/1640218 Publication ID: 68848

Kara Peterson, Pavel Bochev, Paul Kuberry, Nathaniel Trask, (2019). Lagrange-Multiplier-Based Partitioned Method for Ocean-Atmosphere Coupling https://www.osti.gov/servlets/purl/1640221 Publication ID: 68854

Pavel Bochev, Nathaniel Trask, Paul Kuberry, Mauro Perego, (2019). Mesh-hardened finite element analysis through a Generalized Moving Least-Squares approximation of variational problems https://doi.org/10.1007/978-3-030-41032-2_7 Publication ID: 68604

Mauro Perego, Pavel Bochev, Nathaniel Trask, Peter Bosler, Paul Kuberry, Kara Peterson, (2019). Advances in the Approximation Theory for Generalized Moving Least Squares https://www.osti.gov/servlets/purl/1639699 Publication ID: 67960

Christian Glusa, (2019). Asynchronous Domain Decomposition Solvers https://www.osti.gov/servlets/purl/1602126 Publication ID: 67113

Jonathan Hu, Christian Glusa, Paul Lin, Edward Phillips, James Elliott, Christopher Siefert, Sivasankaran Rajamanickam, (2019). Large Scale Parallel Solution Methods for Electromagnetic Simulations https://www.osti.gov/servlets/purl/1602925 Publication ID: 67190

Marta D’Elia, Pavel Bochev, David Littlewood, Mauro Perego, (2019). Optimization-based coupling of local and nonlocal models: Applications to Peridynamics Handbook of Nonlocal Continuum Mechanics for Materials and Structures https://www.osti.gov/biblio/1393319 Publication ID: 55462

Erik Boman, Edmond Chow, Jack Dongarra, Christian Glusa, Sivasankaran Rajamanickam, Daniel Szyld, Ichitaro Yamazaki, (2019). Asynchronous Iterative Solvers for Extreme Scale https://www.osti.gov/servlets/purl/1596422 Publication ID: 64517

Christian Glusa, Mark Ainsworth, (2019). Hybrid Finite Element – Spectral Method for the Spectral Fractional Laplacian https://www.osti.gov/servlets/purl/1593531 Publication ID: 64378

Luc Berger-Vergiat, Christian Glusa, Jonathan Hu, Christopher Siefert, Raymond Tuminaro, Mayr Matthias, Prokopenko Andrey, Wiesner Tobias, (2019). MueLu User’s Guide https://doi.org/10.2172/1491860 Publication ID: 64392

Pavel Bochev, (2019). Optimization-based property-preserving methods https://www.osti.gov/servlets/purl/1595894 Publication ID: 64452

Paul Kuberry, Peter Bosler, Nathaniel Trask, Mauro Perego, Kara Peterson, Pavel Bochev, (2018). The Compadre Toolkit https://www.osti.gov/servlets/purl/1594258 Publication ID: 59467

Christian Glusa, (2018). RefMaxwell – MueLu’s Maxwell solver https://www.osti.gov/servlets/purl/1593000 Publication ID: 59789

Pavel Bochev, Nathaniel Trask, Paul Kuberry, Mauro Perego, Kara Peterson, Peter Bosler, (2018). Compatible meshless methods for DPEs https://www.osti.gov/servlets/purl/1806965 Publication ID: 59543

Matthew Bettencourt, Richard Kramer, Keith Cartwright, Edward Phillips, Curtis Ober, Roger Pawlowski, Matthew Swan, Irina Tezaur, Eric Phipps, Sidafa Conde, Eric Cyr, Craig Ulmer, Todd Kordenbrock, Scott Levy, Gary Templet, Jonathan Hu, Paul Lin, Christian Glusa, Christopher Siefert, Micheal Glass, (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

Nathaniel Trask, Mauro Perego, Pavel Bochev, (2018). Discretely conservative meshfree schemes for conservation laws https://www.osti.gov/servlets/purl/1806699 Publication ID: 63328

Mauro Perego, Pavel Bochev, Nathaniel Trask, Peter Bosler, Paul Kuberry, Kara Peterson, (2018). Advances in the Approximation Theory for Functional Reconstructions Using GMLS and Applications to Meshless Discretization of Differential Equations https://www.osti.gov/servlets/purl/1573545 Publication ID: 63442

Christian Glusa, (2018). A Maxwell Solver for Next-Generation Platforms https://www.osti.gov/servlets/purl/1532820 Publication ID: 62953

Kara Peterson, Pavel Bochev, Paul Kuberry, (2018). Explicit Partitioned Methods for Interface Coupling https://www.osti.gov/servlets/purl/1574283 Publication ID: 63478

Kara Peterson, Pavel Bochev, Paul Kuberry, (2018). Explicit Partitioned Methods for Interface Coupling https://www.osti.gov/servlets/purl/1526419 Publication ID: 62555

Pavel Bochev, Mauro Perego, Marta D’Elia, Denis Ridzal, Kara Peterson, (2018). Optimization-based property preserving finite element methods for transport equations https://www.osti.gov/servlets/purl/1525706 Publication ID: 62428

Richard Kramer, Christopher Siefert, Thomas Voth, Pavel Bochev, (2018). Formulation and computation of dynamic, interface-compatible Whitney complexes in three dimensions Journal of Computational Physics https://doi.org/10.1016/j.jcp.2017.12.037 Publication ID: 64073

Christian Glusa, (2018). Asynchronous Domain Decomposition Solvers https://www.osti.gov/servlets/purl/1507816 Publication ID: 61256

Paul Kuberry, Pavel Bochev, Kara Peterson, (2018). Mesh-tying via multiple-control PDE-constrained optimization and GMLS function reconstruction https://www.osti.gov/servlets/purl/1504320 Publication ID: 61298

Pavel Bochev, Paul Kuberry, Kara Peterson, (2018). A virtual control coupling approach for problems with non-coincident discrete interfaces Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://doi.org/10.1007/978-3-319-73441-5_15 Publication ID: 56320

Mark Ainsworth, Christian Glusa, (2018). Hybrid finite element–spectral method for the fractional Laplacian: Approximation theory and efficient solver SIAM Journal on Scientific Computing https://doi.org/10.1137/17M1144696 Publication ID: 62261

Christian Glusa, Mark Ainsworth, (2018). The Resiliency of Multilevel Methods on Next Generation Computing Platforms: Probabilistic Model and Its Analysis https://www.osti.gov/servlets/purl/1573773 Publication ID: 58749

Brian Hong, Mauro Perego, Pavel Bochev, Amalie Frischknecht, Edward Phillips, (2018). Towards a scalable multifidelity simulation approach for electrokinetic problems at the mesoscale Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://doi.org/10.1007/978-3-319-73441-5_16 Publication ID: 56247

Kara Peterson, Pavel Bochev, Nathaniel Trask, (2018). Improving the Material-Point Method with GMLS https://www.osti.gov/servlets/purl/1512652 Publication ID: 58561

Christian Glusa, Mark Ainsworth, (2017). Adaptive FEM for the fractional Laplacian https://www.osti.gov/servlets/purl/1511974 Publication ID: 54654

Christian Glusa, Mark Ainsworth, (2017). Adaptive FEM for the fractional Laplacian https://www.osti.gov/servlets/purl/1573778 Publication ID: 54504

James Cheung, Amalie Frischknecht, Mauro Perego, Pavel Bochev, (2017). A hybrid, coupled approach for modeling charged fluids from the nano to the mesoscale Journal of Computational Physics https://doi.org/10.1016/j.jcp.2017.07.030 Publication ID: 48379

Paul Kuberry, Pavel Bochev, Kara Peterson, Edward Phillips, (2017). Coupling Hyperbolic PDEs Over Non-Coincident Interfaces https://www.osti.gov/servlets/purl/1474028 Publication ID: 53073

Denis Ridzal, Marta D’Elia, Mauro Perego, Pavel Bochev, (2017). Property preserving finite element methods via constrained optimization https://www.osti.gov/servlets/purl/1513336 Publication ID: 53083

Nathaniel Trask, Pavel Bochev, Mauro Perego, (2017). Locally compatible meshless methods for PDEs https://www.osti.gov/servlets/purl/1471967 Publication ID: 58532

Kara Peterson, Denis Ridzal, Pavel Bochev, (2017). Optimization-based Tracer Transport https://www.osti.gov/servlets/purl/1471980 Publication ID: 58536

Erik Boman, Sivasankaran Rajamanickam, Christian Glusa, Edmond Chow, Paritosh Ramanan, (2017). Asynchronous Iterative Solvers: The ACHILES library and domain decomposition methods https://www.osti.gov/servlets/purl/1476153 Publication ID: 53246

Kara Peterson, Pavel Bochev, Denis Ridzal, Mark Taylor, (2017). Optimization-Based Semi-Lagrangian Tracer Transport https://www.osti.gov/servlets/purl/1465013 Publication ID: 57961

Paul Kuberry, Pavel Bochev, Kara Peterson, Michael Wong, (2017). Bridging the gap: from algorithm development to mission impact a partitioned elastodynamics example https://www.osti.gov/servlets/purl/1465084 Publication ID: 57994

Christian Glusa, Mark Ainsworth, (2017). The Resiliency of Multilevel Methods on Next Generation Computing Platforms: Probabilistic Model and Its Analysis https://www.osti.gov/servlets/purl/1460163 Publication ID: 57172

Pavel Bochev, (2017). Optimization-Based Property Preserving Methods or going boldly beyond compatible discretizations https://www.osti.gov/servlets/purl/1513615 Publication ID: 57113

Kara Peterson, Pavel Bochev, Paul Kuberry, (2017). Explicit Partitioned Methods for Coupled Problems Based on Lagrange Multipliers https://www.osti.gov/servlets/purl/1523700 Publication ID: 56903

Paul Kuberry, Pavel Bochev, Kara Peterson, (2017). An Optimization-Based Globally Flux-Conserving Coupling of Problems with Spatially Non-Coincident Interface Discretizations https://www.osti.gov/servlets/purl/1458183 Publication ID: 56697

Brian Hong, Mauro Perego, Pavel Bochev, Amalie Frischknecht, Edward Phillips, (2017). Towards a Scalable Multifidelity Simulation Approach for Electrokinetic Problems at the Mesoscale https://doi.org/10.1007/978-3-319-73441-5_16 Publication ID: 56709

Marta D’Elia, Pavel Bochev, Marta D’Elia, Mauro Perego, Denis Ridzal, (2017). Optimization-based property preserving finite element methods https://www.osti.gov/servlets/purl/1458218 Publication ID: 56710

Pavel Bochev, Paul Kuberry, Kara Peterson, (2017). An explicit partitioned elastodynamics method based on Lagrange Multipliers https://www.osti.gov/servlets/purl/1458082 Publication ID: 56608

Kara Peterson, Pavel Bochev, Mauro Perego, Xujiao Gao, (2017). Multiscale Stabilized Control Volume Finite Element Method for Advection-Diffusion https://www.osti.gov/servlets/purl/1456439 Publication ID: 55666

Kara Peterson, Pavel Bochev, Paul Kuberry, (2017). Mortar Flux Recover (MFR) Algorithm and Analysis https://www.osti.gov/servlets/purl/1427961 Publication ID: 55378

James Cheung, Amalie Frischknecht, Mauro Perego, Pavel Bochev, (2017). A Multifidelity Approach to Effectively Compute the Steady-State Flow Of Ionic Solutions https://www.osti.gov/servlets/purl/1429255 Publication ID: 55417

Paul Kuberry, Pavel Bochev, Kara Peterson, Edward Phillips, (2017). A Partitioned Method for Explicit Elastodynamics Based on a Generalized Dual Schur Complement https://www.osti.gov/servlets/purl/1456371 Publication ID: 55505

Marta D’Elia, Pavel Bochev, Mauro Perego, David Littlewood, (2017). Optimization based coupling for nonlocal and local models with applications to static peridynamics https://www.osti.gov/servlets/purl/1424841 Publication ID: 55060

David Littlewood, Marta D’Elia, Mauro Perego, Pavel Bochev, (2017). Optimization-Based Coupling for Local and Nonlocal Models https://www.osti.gov/servlets/purl/1424567 Publication ID: 55109

Paul Kuberry, Pavel Bochev, Kara Peterson, (2017). Optimization-Based Approach for Problems with Non-Conforming Interface Discretizations https://www.osti.gov/servlets/purl/1505690 Publication ID: 54110

Kara Peterson, Pavel Bochev, Mauro Perego, Xujiao Gao, (2017). Stabilized Control Volume Finite Element Method for Drift Diffusion https://www.osti.gov/servlets/purl/1524972 Publication ID: 54429

Pavel Bochev, Marta D’Elia, (2017). Formulation and Analysis of a coupling strategy for nonlocal and local models https://www.osti.gov/servlets/purl/1505476 Publication ID: 53015

Nathaniel Trask, Mauro Perego, Pavel Bochev, (2017). A high-order staggered meshless method for elliptic problems SIAM Journal on Scientific Computing https://doi.org/10.1137/16M1055992 Publication ID: 46929

Kara Peterson, Pavel Bochev, Paul Kuberry, (2016). Mortar Flux Recovery (MFR) Algorithm and Analysis https://www.osti.gov/servlets/purl/1400364 Publication ID: 47171

Amalie Frischknecht, James Cheung, Brian Hong, Mauro Perego, Pavel Bochev, (2016). Electrokinetic Models beyond Mean-Field Theory https://www.osti.gov/servlets/purl/1401931 Publication ID: 47208

Pavel Bochev, (2016). Advances in formula/on analysis and computa/on of concurrent coupling methods https://www.osti.gov/servlets/purl/1402328 Publication ID: 47236

David Littlewood, Marta D’Elia, Mauro Perego, Pavel Bochev, (2016). Optimization-Based Coupling for Local and Nonlocal Models https://www.osti.gov/servlets/purl/1390745 Publication ID: 52147

Paul Kuberry, Pavel Bochev, Kara Peterson, (2016). Explicit and Implicit Interface Coupling Approaches https://www.osti.gov/servlets/purl/1375103 Publication ID: 51582

Marta D’Elia, David Littlewood, Mauro Perego, Pavel Bochev, (2016). A COUPLING STRATEGY FOR LOCAL AND NONLOCAL MODELS with applications to static peridynamics https://www.osti.gov/servlets/purl/1373156 Publication ID: 51312

Pavel Bochev, James Cheung, Marta D’Elia, Amalie Frischknecht, Michael Parks, Mauro Perego, (2016). Coupling of Multi-fidelity Models: Applications to PNP-cDFT and local-nonlocal Poisson equations https://www.osti.gov/servlets/purl/1428032 Publication ID: 50761

Marta D’Elia, Mauro Perego, Pavel Bochev, David Littlewood, (2016). A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions Computers and Mathematics with Applications (Oxford) https://doi.org/10.1016/j.camwa.2015.12.006 Publication ID: 45172

Marc Gerritsma, Pavel Bochev, (2016). A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2016.01.033 Publication ID: 45175

Pavel Bochev, Denis Ridzal, (2016). Optimization-based additive decomposition of weakly coercive problems with applications Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2015.12.032 Publication ID: 44430

Marta D’Elia, Mauro Perego, Pavel Bochev, David Littlewood, (2016). A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions Computers and Mathematics with Applications https://doi.org/10.1016/j.camwa.2015.12.006 Publication ID: 46234

Paul Kuberry, Pavel Bochev, (2016). An optimization-based approach to mesh tying and transmission problems https://www.osti.gov/servlets/purl/1368837 Publication ID: 50227

Paul Kuberry, Pavel Bochev, (2016). An optimization-based approach to mesh tying and transmission problems https://www.osti.gov/servlets/purl/1422058 Publication ID: 48948

Pavel Bochev, Denis Ridzal, (2016). "Optimization-based additive decomposition of weakly coercive problems with applications to iterative solver design https://www.osti.gov/servlets/purl/1366604 Publication ID: 49131

Pavel Bochev, (2016). Optimization-based property preserving methods or going boldly beyond compatible discretization https://www.osti.gov/servlets/purl/1338867 Publication ID: 46592

Derek Olson, Alexander Shapeev, Pavel Bochev, Mitchell Luskin, (2016). Analysis of an optimization-based atomistic-to-continuum coupling method for point defects ESAIM: Mathematical Modelling and Numerical Analysis https://doi.org/10.1137/13091734X Publication ID: 38888

Marta D’Elia, Pavel Bochev, (2015). Heterogeneous Domain Decomposition methods for Nonlocal problems https://www.osti.gov/servlets/purl/1336014 Publication ID: 41857

Xujiao Gao, Andy Huang, Kara Peterson, Gary Hennigan, Lawrence Musson, Pavel Bochev, (2015). Implementation of Different Stabilization Schemes in Charon Using Trilinos/Panzer https://www.osti.gov/servlets/purl/1331955 Publication ID: 46346

Mauro Perego, Marta D’Elia, Pavel Bochev, David Littlewood, (2015). A coupling strategy for Local and Nonlocal continuum models https://www.osti.gov/servlets/purl/1336328 Publication ID: 45994

Marta D’Elia, Mauro Perego, Pavel Bochev, David Littlewood, (2015). A coupling strategy for Local and Nonlocal continuum models https://www.osti.gov/servlets/purl/1289561 Publication ID: 44926

Marta D’Elia, Pavel Bochev, (2015). Formulation Analysis and Computation of an Optimization-Based Local to Nonlocal coupling method https://www.osti.gov/servlets/purl/1289562 Publication ID: 44927

Mauro Perego, Stephen Price, Matthew Hoffman, Andrew Salinger, Pavel Bochev, Max Gunzburger, (2015). Coupling of Momentum Balance and Thickness Evolution Equations for Ice Sheet Modeling https://www.osti.gov/servlets/purl/1312674 Publication ID: 45244

Kara Peterson, Marta D’Elia, Denis Ridzal, Pavel Bochev, Mikhail Shashkov, (2015). Optimization-based Mesh Correction https://www.osti.gov/servlets/purl/1326773 Publication ID: 45295

Pavel Bochev, (2015). Optimization-Based Property Preserving Methods or Going Boldly Beyond Compatible Discretizations https://www.osti.gov/servlets/purl/1331585 Publication ID: 44105

Pavel Bochev, Marta D’Elia, (2015). Optimization-based coupling of local and nonlocal continuum models: A divide and conquer approach for stable and physically consistent heterogeneous numerical models https://www.osti.gov/servlets/purl/1252913 Publication ID: 43341

Marta D’Elia, Pavel Bochev, (2015). An Optimization-Based Local to Nonlocal Coupling Method https://www.osti.gov/servlets/purl/1253081 Publication ID: 43394

Pavel Bochev, Scott Moe, Kara Peterson, Denis Ridzal, (2015). A Conservative Optimization-based Semi-Lagrangian Spectral Element Method for Passive Tracer Transport https://www.osti.gov/servlets/purl/1253083 Publication ID: 43396

Marta D’Elia, Pavel Bochev, (2015). An Optimization-Based coupling of Local and Nonlocal models https://www.osti.gov/servlets/purl/1253305 Publication ID: 43421

Pavel Bochev, Scott Moe, Kara Peterson, Denis Ridzal, (2015). A conservative, optimization-based semi-lagrangian spectral element method for passive tracer transport COUPLED PROBLEMS 2015 – Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering https://www.osti.gov/servlets/purl/1238306 Publication ID: 41486

Pavel Bochev, Paul Kuberry, (2015). A variational flux recovery approach for elastodynamics problems with interfaces PANACM 2015 – 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015 https://www.osti.gov/servlets/purl/1238224 Publication ID: 41511

Pavel Bochev, Marta D’Elia, (2015). An Optimization-Based Local to Nonlocal Coupling Method https://www.osti.gov/servlets/purl/1530976 Publication ID: 43050

Pavel Bochev, Paul Kuberry, (2015). A variational force recovery approach for elastodynamics problems with interfaces https://www.osti.gov/servlets/purl/1249293 Publication ID: 43163

Christopher Siefert, Richard Kramer, Pavel Bochev, Thomas Voth, (2015). Extended and Conformal Decomposition Finite Elements for 3D Compatible Discretizations https://www.osti.gov/servlets/purl/1241271 Publication ID: 42370

Pavel Bochev, Paul Kuberry, (2015). A new partitioned algorithm for explicit elastodynamics based on variational flux recovery https://www.osti.gov/servlets/purl/1882365 Publication ID: 42408

Kara Peterson, Denis Ridzal, Pavel Bochev, (2015). Feature-Preserving Finite Element Transport Across Interfaces: Part2, Direct Flux Recovery https://www.osti.gov/servlets/purl/1890367 Publication ID: 42426

Marc Gerritsma, Pavel Bochev, (2015). A locally conservative high-order least-squares formulation in curvilinear coordinates Lecture Notes in Computational Science and Engineering https://www.osti.gov/servlets/purl/1315264 Publication ID: 39037

Marta D’Elia, Pavel Bochev, (2015). Optimization-based coupling of nonlocal and local diffusion models Materials Research Society Symposium Proceedings https://doi.org/10.1557/opl.2015.109 Publication ID: 39911

Marta D’Elia, Pavel Bochev, (2014). Optimization?Based Coupling of Nonllocall and Locall diffusion models https://www.osti.gov/servlets/purl/1242780 Publication ID: 39758

Pavel Bochev, (2014). A spectral mimetic least-squares method Computers and Mathematics with Applications (Oxford) https://doi.org/10.1016/j.camwa.2014.09.014 Publication ID: 38821

Kara Peterson, Pavel Bochev, Mauro Perego, Xujiao Gao, (2014). Implementation of a Second-Order Stabilized CVFEM using Intrepid https://www.osti.gov/servlets/purl/1367642 Publication ID: 39418