Publications

Ridzal, D., Vuchkov, R.G., Cyr, E.C., & Cyr, E.C. (2024). Multigrid-in-time methods for nonlinear optimization of dynamical systems [Presentation]. 10.2172/2585939

Diaz, C.P., Bochev, P.B., Ridzal, D., & Ridzal, D. (2024). Topological methods for model order reduction of scalar transport equation solutions [Presentation]. 10.2172/2585972

Peterson, K.J., Bochev, P.B., Ridzal, D., & Ridzal, D. (2024). Optimization-based, property-preserving algorithm for passive tracer transport. Computers and Mathematics with Applications, 159, pp. 267-286. 10.1016/j.camwa.2024.02.031

Harper, G.B., Ridzal, D., & Ridzal, D. (2024). Structure Optimization and Compression Methods for Finite Element Operators [Conference Presenation]. 10.2172/2563880

Cyr, E.C., Ridzal, D., Vuchkov, R.G., Schroder, J.B., Vargas, D.A., Moore, N.S., Heinkenschloss, M., Lin, S., Southworth, B.S., Hahne, J., & Hahne, J. (2023). Exploiting Parallelism in Optimization with Evolutionary Constraints [Conference Poster]. 10.2172/2584936

Bochev, P.B., Peterson, K.J., Ridzal, D., & Ridzal, D. (2023). Optimization-based, property-preserving algorithms for passive tracer transport [Conference Presenation]. 10.2172/2430425

Javeed, A., Kouri, D.P., Ridzal, D., Ross, I.M., & Ross, I.M. (2023). A Fast Matrix-Free Method for Low-Thrust Trajectory Optimization [Conference Presenation]. 10.2172/2463081

Diaz, C.P., Bochev, P.B., Ridzal, D., & Ridzal, D. (2023). A heuristic topological model order reduction for advection problems [Conference Presenation]. 10.2172/2430501

Ridzal, D., Bochev, P.B., & Bochev, P.B. (2023). Toward scalable optimization methods for property-preserving finite element discretizations of transport problems [Conference Presenation]. 10.2172/2430525

Kouri, D.P., Ridzal, D., Antil, H., & Antil, H. (2023). ALESQP: AN AUGMENTED LAGRANGIAN EQUALITY-CONSTRAINED SQP METHOD FOR OPTIMIZATION WITH GENERAL CONSTRAINTS. SIAM Journal on Optimization, 33(1), pp. 237-266. 10.1137/20m1378399

Dipietro, K.L., Ridzal, D., Morales, D., & Morales, D. (2022). Adaptive Space-Time Methods for Large Scale Optimal Design. 10.2172/1891589

Dipietro, K.L., Morales, D., Ridzal, D., & Ridzal, D. (2022). Optimization-based multi grid-enabled finite element solvers for the Monge-Ampre equation [Conference Presenation]. 10.2172/2003952

Ridzal, D., Kouri, D.P., Robinson, D., Salloum, M., & Salloum, M. (2022). Uniform flow in axisymmetric devices through permeability optimization [Conference Presenation]. 10.2172/2004186

Kouri, D.P., Ridzal, D., von Winckel, G., Javeed, A., & Javeed, A. (2022). Get ROL-ing: An Introduction to Sandia's Rapid Optimization Library [Conference Presenation]. 10.2172/2004204

Dipietro, K.L., Ridzal, D., Morales, D., & Morales, D. (2022). Optimization for Real-Time Dynamic Spatial AdaptivityKelsey [Presentation]. https://www.osti.gov/biblio/2003639

Hardesty, S., Antil, H., Kouri, D.P., Ridzal, D., & Ridzal, D. (2022). The strip method for shape derivatives [Conference Presenation]. International Journal for Numerical Methods in Engineering. 10.2172/1876615

Robinson, D., Mahaffey-Dowd, D., Hui, C.S., Mills, B.E., Salloum, M., Ridzal, D., Kouri, D.P., Miers, J.C., & Miers, J.C. (2022). Additive manufacturing of porous lattices with spatially optimized permeability [Presentation]. https://www.osti.gov/biblio/2002253

Mahaffey-Dowd, D., Hui, C.S., Mills, B.E., Salloum, M., Ridzal, D., Kouri, D.P., Miers, J.C., Robinson, D., & Robinson, D. (2022). Additive Manufacturing of Porous Material Lattices with Spatially Optimized Permeability [Conference Presenation]. 10.2172/2002102

Dipietro, K.L., Ridzal, D., & Ridzal, D. (2022). Optimization based solvers for the Monge-Ampre equation with applications to mesh adaptivity [Conference Presenation]. 10.2172/2003128

Bynum, M.L., Rodriguez, S., Laird, C., Nicholson, B.L., Jalving, J.H., Siirola, J.D., Ridzal, D., & Ridzal, D. (2021). Scalable Parallel Nonlinear Optimization with PyNumero and Parapint [Conference Presenation]. 10.2172/1884206

Dipietro, K.L., Ridzal, D., Lindsay, A., & Lindsay, A. (2021). Efficient finite element methods for solving the Monge-Ampere equation [Conference Presenation]. 10.2172/1888672

Hardesty, S., Antil, H., Kouri, D.P., Ridzal, D., & Ridzal, D. (2021). The Strip Method for Shape Derivatives [Conference Presenation]. 10.2172/1876593

Robinson, D., Salloum, M., Ridzal, D., Kouri, D.P., & Kouri, D.P. (2021). Fluid flow control devices with 3D-graded permeability [Conference Presenation]. 10.2172/1867123

Robinson, D., Salloum, M., Ridzal, D., Kouri, D.P., & Kouri, D.P. (2021). Design of chromatography columns with 3D-graded permeability [Conference Presenation]. 10.2172/1861979

Bynum, M.L., Ridzal, D., & Ridzal, D. (2020). Parapint:Rapid Development ofParallel Decomposition Algorithms forDynamic Optimization [Presentation]. https://www.osti.gov/biblio/1837398

Robinson, D., Salloum, M., Ridzal, D., Kouri, D.P., Saiz, D.J., Jared, B.H., & Jared, B.H. (2020). Fluid flow control deviceswith 3D-graded permeability [Conference Presenation]. 10.2172/1831022

Ridzal, D., Kouri, D.P., & Kouri, D.P. (2020). An Augmented Lagrangian Equality-constrained SQP (ALESQP) Method for Function-space Optimization with General Constraints [Conference Presenation]. 10.2172/1877850

Hardesty, S., Kouri, D.P., Lindsay, P., Ridzal, D., Stevens, B., Viertel, R., & Viertel, R. (2020). Shape Optimization for Control and Isolation of Structural Vibrations in Aerospace and Defense Applications. 10.2172/1669731

Cyr, E.C., Guenther, S., Ruthotto, L., Schroder, J.B., Gauger, N.R., Ridzal, D., & Ridzal, D. (2020). A Layer-Parallel Approach for Training Deep Neural Networks [Presentation]. https://www.osti.gov/biblio/1812174

Bochev, P.B., Ridzal, D., D'Elia, M., Perego, M., Peterson, K.J., & Peterson, K.J. (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. 10.1016/j.cma.2020.112982

Ridzal, D., Bochev, P.B., & Bochev, P.B. (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

Kouri, D.P., Ridzal, D., Tuminaro, R.S., & Tuminaro, R.S. (2020). KKT preconditioners for pde-constrained optimization with the helmholtz equation. SIAM Journal on Scientific Computing, 43(5), pp. S225-S248. 10.1137/20m1349199

Salloum, M., Robinson, D., Ridzal, D., Kouri, D.P., Saiz, D.J., Jared, B.H., & Jared, B.H. (2019). Fluid Flow Control Devices with Graded Permeability [Presentation]. https://www.osti.gov/biblio/1761291

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

Cyr, E.C., Ridzal, D., Guenther, S., Ruthotto, L., Schroder, J.B., Gauger, N.R., & Gauger, N.R. (2019). Exploiting ?time-domain? parallelism to accelerate neural network training and PDE constrained optimization [Presentation]. https://www.osti.gov/biblio/1807168

Ridzal, D., Cyr, E.C., van Bloemen Waanders, B., & van Bloemen Waanders, B. (2019). Adjoint-based Parallel-in-time Optimization for Electromagnetics: From Source Inversion to Design [Conference Poster]. https://www.osti.gov/biblio/1640205

Cyr, E.C., Ridzal, D., & Ridzal, D. (2019). A Parallel-in-Time Multigrid Preconditioner for KKT Systems Arising in Full Space Optimization [Conference Poster]. https://www.osti.gov/biblio/1639544

Ridzal, D. (2019). Scalable Optimization of Discrete-Time PDE Systems with Inequality Constraints [Conference Poster]. https://www.osti.gov/biblio/1602616

Ober, C.C., Pawlowski, R., Conde, S., Tezaur, I.K., Phipps, E.T., Phillips, E., Mota, A., Phlipot, G., Ridzal, D., Hansen, M.A., Fisher, T.C., & Fisher, T.C. (2018). Tempus Time-Integration Package & Applications [Conference Poster]. https://www.osti.gov/biblio/1593047

Bochev, P.B., Perego, M., D'Elia, M., Ridzal, D., Peterson, K.J., & Peterson, K.J. (2018). Optimization-based property preserving finite element methods for transport equations [Conference Poster]. https://www.osti.gov/biblio/1525706

Ridzal, D., Cyr, E.C., & Cyr, E.C. (2018). Multigrid-in-time methods for optimization with nonlinear PDE/DAE constraints [Conference Poster]. https://www.osti.gov/biblio/1531095

Ridzal, D. (2018). COMPUTATIONAL TOOLS FOR FREE-FORM OPTIMIZATION OF LARGE-SCALE EnMat STRUCTURES [Presentation]. https://www.osti.gov/biblio/1510167

el-Kady, I.F., Reinke, C.M., van Bloemen Waanders, B., Ridzal, D., Su, M., Fitzpatrick, D., Chilton, R., & Chilton, R. (2018). COMPUTATIONAL TOOLS FOR FREE-FORM OPTIMIZATION OF LARGE-SCALE EnMat STRUCTURES [Presentation]. https://www.osti.gov/biblio/1525573

el-Kady, I.F., Reinke, C.M., van Bloemen Waanders, B., Ridzal, D., Su, M., Fitzpatrick, D., Chilton, R., & Chilton, R. (2018). MIRaGE Multiscale Inverse Rapid Group-theory for Engineered-metamaterials [Presentation]. https://www.osti.gov/biblio/1525574

Reinke, C.M., el-Kady, I.F., van Bloemen Waanders, B., Ridzal, D., Su, M., Fitzpatrick, D., Chilton, R., & Chilton, R. (2018). FEMLITE: Rapid Electromagnetic Modeling of Periodic Metamaterial Structures [Presentation]. https://www.osti.gov/biblio/1575339

el-Kady, I.F., Reinke, C.M., van Bloemen Waanders, B., Ridzal, D., Su, M., Fitzpatrick, D., Chilton, R., & Chilton, R. (2018). A group theory approach to tailored optical properties of metamaterials [Presentation]. https://www.osti.gov/biblio/1525575

Ridzal, D., Kouri, D.P., & Kouri, D.P. (2018). Scalable Algorithms and Software for PDE-Constrained Optimization Under Uncertainty [Conference Poster]. https://www.osti.gov/biblio/1508919

Kouri, D.P., Ridzal, D., & Ridzal, D. (2017). Inexact Trust-Region Methods for PDE-Constrained Optimization. https://www.osti.gov/biblio/1434233

Phipps, E.T., Turner, D.Z., Maupin, K.A., Ray, J., Ridzal, D., & Ridzal, D. (2017). SNL ATDM Math Libraries ? Data Propagation Components [Presentation]. https://www.osti.gov/biblio/1806499

Ridzal, D., Kouri, D.P., von Winckel, G., & von Winckel, G. (2017). Rapid Optimization Library [Presentation]. https://www.osti.gov/biblio/1481491

Ridzal, D., D'Elia, M., Perego, M., Bochev, P.B., & Bochev, P.B. (2017). Property preserving finite element methods via constrained optimization [Conference Poster]. https://www.osti.gov/biblio/1513336

Cyr, E.C., Ridzal, D., & Ridzal, D. (2017). Towards Parallel in Time for Full Space Optimization [Conference Poster]. https://www.osti.gov/biblio/1509626

Cyr, E.C., von Winckel, G., Kouri, D.P., Gardiner, T.A., Ridzal, D., Shadid, J.N., Miller, S., & Miller, S. (2017). LDRD Report: Topological Design Optimization of Convolutes in Next Generation Pulsed Power Devices. 10.2172/1413648

Peterson, K.J., Ridzal, D., Bochev, P.B., & Bochev, P.B. (2017). Optimization-based Tracer Transport [Conference Poster]. https://www.osti.gov/biblio/1471980

Peterson, K.J., Bochev, P.B., Ridzal, D., Taylor, M.A., & Taylor, M.A. (2017). Optimization-Based Semi-Lagrangian Tracer Transport [Presentation]. https://www.osti.gov/biblio/1465013

D'Elia, M., Bochev, P.B., Perego, M., Ridzal, D., & Ridzal, D. (2017). Optimization-based property preserving finite element methods [Conference Poster]. https://www.osti.gov/biblio/1458218

Kouri, D.P., Ridzal, D., von Winckel, G., & von Winckel, G. (2017). The Rapid Optimization Library: Software for large-scale optimization [Presentation]. https://www.osti.gov/biblio/1456449

Cyr, E.C., von Winckel, G., Gardiner, T.A., Kouri, D.P., Ridzal, D., Miller, S., Shadid, J.N., & Shadid, J.N. (2017). Topology Optimization: Challenges Algorithms and Applications [Presentation]. https://www.osti.gov/biblio/1429279

Ridzal, D., Cyr, E.C., & Cyr, E.C. (2017). Inexact parallel-in-time solvers and SQP methods for PDE-constrained optimization [Conference Poster]. https://www.osti.gov/biblio/1524491

Phipps, E.T., Hanks, B., Rizzi, F., Ridzal, D., Robbins, J., Valentin, M.A., Copps, K.D., & Copps, K.D. (2016). SNL ATDM Analysis Components [Presentation]. https://www.osti.gov/biblio/1505484

Bochev, P.B., Ridzal, D., & Ridzal, D. (2016). Optimization-based additive decomposition of weakly coercive problems with applications. Computers and Mathematics with Applications, 71(11), pp. 2140-2154. https://doi.org/10.1016/j.camwa.2015.12.032

D'Elia, M., Ridzal, D., Peterson, K.J., Bochev, P.B., Shashkov, M., & Shashkov, M. (2016). Optimization-based mesh correction with volume and convexity constraints. Journal of Computational Physics, 313(C), pp. 455-477. https://doi.org/10.1016/j.jcp.2016.02.050

Ridzal, D., Kouri, D.P., & Kouri, D.P. (2016). A Full-Space Approach to Stochastic Optimization with Simulation Constraints [Conference Poster]. https://www.osti.gov/biblio/1581536

von Winckel, G., Cyr, E.C., Kouri, D.P., Ridzal, D., Gardiner, T.A., Shadid, J.N., & Shadid, J.N. (2016). Reduced and Full Space Methods in Topology Optimization: Applications in Linear Elasticity and Electrical Conduction [Conference Poster]. https://www.osti.gov/biblio/1364862

Bochev, P.B., Ridzal, D., & Ridzal, D. (2016). "Optimization-based additive decomposition of weakly coercive problems with applications to iterative solver design [Conference Poster]. https://www.osti.gov/biblio/1366604

Ridzal, D., Cyr, E.C., Hajghassem, M., & Hajghassem, M. (2015). A time-parallel method for the solution of PDE-constrained optimization problems. 10.2172/1430466

Walsh, T., Aquino, W., Ridzal, D., Kouri, D.P., & Kouri, D.P. (2015). Inversion for Eigenvalues and Modes Using Sierra-SD and ROL. 10.2172/1233625

Kouri, D.P., Aquino, W., Ridzal, D., Rockafellar, R.T., Shapiro, A., Uryasev, S., & Uryasev, S. (2015). Risk-Averse Optimization of Large-Scale Multiphysics Systems [Presentation]. https://www.osti.gov/biblio/1333463

Peterson, K.J., D'Elia, M., Ridzal, D., Bochev, P.B., Shashkov, M.J., & Shashkov, M.J. (2015). Optimization-based Mesh Correction [Conference Poster]. https://www.osti.gov/biblio/1326773

Ridzal, D. (2015). Inexact full-space methods for simulation-based inverse problems and large-scale optimization [Conference Poster]. https://www.osti.gov/biblio/1279669

van Bloemen Waanders, B., Kouri, D.P., Ridzal, D., Uryasef, S., & Uryasef, S. (2015). Optimization Under Uncertainty for Magnetic Confinement Fusion [Conference Poster]. https://www.osti.gov/biblio/1250731

Bochev, P.B., Moe, S.A., Peterson, K.J., Ridzal, D., & Ridzal, D. (2015). A conservative, optimization-based semi-lagrangian spectral element method for passive tracer transport [Conference Poster]. COUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84938700932&origin=inward

Peterson, K.J., Ridzal, D., Bochev, P.B., & Bochev, P.B. (2015). Feature-Preserving Finite Element Transport Across Interfaces: Part2, Direct Flux Recovery [Conference Poster]. https://www.osti.gov/biblio/1890367

Ridzal, D., Kouri, D.P., van Bloemen Waanders, B., & van Bloemen Waanders, B. (2015). Integration of Approximate Schur Preconditioners and SQP Algorithms for Nonlinear PDE Optimization under Uncertainty [Conference Poster]. https://www.osti.gov/biblio/1882357

Bochev, P.B., Moe, S., Peterson, K.J., Ridzal, D., & Ridzal, D. (2015). A Conservative Optimization-Based Semi-Lagrangian Spectral Element Method for Passive Tracer Transport [Conference Poster]. https://www.osti.gov/biblio/1238306

Perego, M., Salinger, A.G., Phipps, E.T., Ridzal, D., Kouri, D.P., Tezaur, I.K., Price, S., Stadler, G., & Stadler, G. (2014). Adjoint-based Deterministic Inversion for Ice Sheets [Presentation]. https://www.osti.gov/biblio/1242148

Walsh, T., Aquino, W., Ridzal, D., Kouri, D.P., van Bloemen Waanders, B., Urbina, A., & Urbina, A. (2014). Viscoelastic material inversion using Sierra-SD and ROL. 10.2172/1322276

Ridzal, D., Kouri, D.P., & Kouri, D.P. (2014). Rapid Optimization Library [Conference Poster]. https://www.osti.gov/biblio/1367652

Ridzal, D. (2014). Intrelab [Conference Poster]. https://www.osti.gov/biblio/1367602

Walsh, T., Aquino, W., Ridzal, D., Kouri, D.P., van Bloemen Waanders, B., & van Bloemen Waanders, B. (2014). A massively parallel framework for source and material inverse problems in structural acoustics [Presentation]. https://www.osti.gov/biblio/1502315

Peterson, K.J., Bochev, P.B., Ridzal, D., & Ridzal, D. (2014). Optimization-Based Transport of Passive Tracers [Presentation]. https://www.osti.gov/biblio/1494442

Ridzal, D. (2014). Optimization-based models and algorithms for feature-preserving %0Cfinite element transport [Presentation]. https://www.osti.gov/biblio/1496082

Peterson, K.J., Bochev, P.B., Ridzal, D., & Ridzal, D. (2014). Optimization-Based Tracer Transport on the Sphere [Conference]. https://www.osti.gov/biblio/1142296

Valentin, M.A., Ridzal, D., & Ridzal, D. (2014). Optimality conditions for the numerical solution of optimization problems with PDE constraints: Theoretical framework and applications to parameter identification and optimal control problems. 10.2172/1200665

Ridzal, D., Kouri, D.P., van Bloemen Waanders, B., Valentin, M.A., Ross, M., Schultz, R., Urbina, A., & Urbina, A. (2014). Inverse Source and Material Identification in Sierra-SD [Conference]. https://www.osti.gov/biblio/1140941

Ridzal, D., Kouri, D.P., van Bloemen Waanders, B., & van Bloemen Waanders, B. (2013). Inexact Objective Function Evaluations in a Trust-Region Algorithm for PDE-Constrained Optimization under Uncertainty. SIAM Journal on Scientific Computing. https://www.osti.gov/biblio/1126754

Love, E., Robinson, A.C., Ridzal, D., & Ridzal, D. (2013). Edge Remap for Solids. 10.2172/1200671

Bochev, P.B., Ridzal, D., Peterson, K.J., & Peterson, K.J. (2013). Perspectives on preservation of physical properties through optimization [Presentation]. https://www.osti.gov/biblio/1673222

Ridzal, D., Bochev, P.B., Peterson, K.J., & Peterson, K.J. (2013). Fast optimization algorithms for feature-preserving solution transfer [Conference]. https://www.osti.gov/biblio/1106591

Ridzal, D. (2013). Fast algorithms for optimization-based remap and transport with feature preservation [Conference]. https://www.osti.gov/biblio/1106832

Peterson, K.J., Bochev, P.B., Ridzal, D., & Ridzal, D. (2013). Optimization-Based Transport on the Cubed Sphere Grid [Conference]. https://doi.org/10.1007/978-3-662-43880-0_22

Walsh, T., Ross, M., Ridzal, D., Valentin, M.A., & Valentin, M.A. (2013). Inverse Structural Acoustic Source and Material Identification in a Massively Parallel Finite Element Framework [Conference]. https://www.osti.gov/biblio/1106883

Peterson, K.J., Bochev, P.B., Ridzal, D., & Ridzal, D. (2013). Optimization-Based Transport on the Cubed Sphere Grid [Conference]. 10.1007/978-3-662-43880-0_22

Ridzal, D., Young, J.G., & Young, J.G. (2013). Application of Second-Order Optimization Algorithms toInverse Problems in Nonlinear Elastostatics andCoupled Fluid Structure Interaction [Conference]. https://www.osti.gov/biblio/1083088

Young, J.G., Ridzal, D., & Ridzal, D. (2013). Designing Experiments Through Compressed Sensing. 10.2172/1089978

Ridzal, D., Valentin, M.A., Young, J.T., & Young, J.T. (2013). Solving massive-scale inverse problems using matrix-fre dequential quadratic programming (SQP) methods [Conference]. https://www.osti.gov/biblio/1095564

Ridzal, D. (2013). A matrix-free trust-region SQP method for equality constrained optimization. SIAM Journal on Optimization. https://www.osti.gov/biblio/1080019

Ridzal, D. (2013). Scalable Algorithms for Large-Scale Inversion and Design [Presentation]. https://www.osti.gov/biblio/1661300

Walsh, T., Valentin, M.A., Ridzal, D., Young, J.G., & Young, J.G. (2013). Inverse Structural Acoustic Source and Material Identification in a Massively Parallel Finite Element Framework [Conference]. https://www.osti.gov/biblio/1078962

Peterson, K.J., Bochev, P.B., Ridzal, D., & Ridzal, D. (2013). Optimization-based conservative transport on the cubed sphere grid [Conference]. 10.1007/978-3-662-43880-0_22