Publications

Books and Book Chapters

  1. H. Antil, D. P. Kouri, M.-D. Lacasse, and D. Ridzal Frontiers in PDE-constrained Optimization. Number 163 in The IMA Volumes in Mathematics and its Applications. Springer New York, 2018.
    Book Review: SIAM Review Vol. 61, Issue 4 (December 2019).
  2. D.P. Kouri and D. Ridzal Inexact trust-region methods for PDE-constrained optimization. In Frontiers in PDE-Constrained Optimization, pages 83–121. Springer New York, 2018.
  3. P. Bochev, D. Ridzal, G. Scovazzi, and M. Shashkov Constrained-optimization based data transfer: a new perspective on flux correction. In Flux-Corrected Transport: Principles, Algorithms, and Applications, pages 345–398. Springer Netherlands, 2012.
  4. R. C. Chin and D. Ridzal Generating orthogonal polynomials for exponential weights on a finite interval. In Special Functions, pages 42–56. World Scientific, 2000.

Journal Papers

  1. K. Peterson, P. Bochev, and D. Ridzal Optimization-based, property-preserving algorithm for passive tracer transport, Computers & Mathematics with Applications, 159:267-286, 2024.
  2. H. Antil, D. P. Kouri, D. Ridzal, D. B. Robinson, and M. Salloum Uniform flow in axisymmetric devices through permeability optimization. Optimization and Engineering, pages 1–29, 2023.
  3. H. Antil, D. P. Kouri, and D. Ridzal ALESQP: An augmented Lagrangian equality-constrained SQP method for optimization with general constraints. SIAM Journal on Optimization, 33(1):237–266, 2023.
  4. S. Hardesty, H. Antil, D. P. Kouri, and D. Ridzal The strip method for shape derivatives. International Journal for Numerical Methods in Engineering, 123(7):1606–1626, 2022.
  5. P. Bochev, D. Ridzal, M. D’Elia, M. Perego, and K. J. Peterson 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, 367:112982, 2020.
  6. P. Bochev and D. Ridzal Optimization-based additive decomposition of weakly coercive problems with applications. Computers & Mathematics with Applications, 71(11):2140–2154, 2016.
  7. M. D’Elia, D. Ridzal, K. J. Peterson, P. Bochev, and M. Shashkov Optimization-based mesh correction with volume and convexity constraints. Journal of Computational Physics, 313:455–477, 2016.
  8. P. Bochev, D. Ridzal, and K. J. Peterson Optimization-based remap and transport: A divide and conquer strategy for feature-preserving discretizations. Journal of Computational Physics, 257:1113– 1139, 2014.
  9. M. Heinkenschloss and D. Ridzal A matrix-free trust-region SQP method for equality constrained optimization. SIAM Journal on Optimization, 24(3):1507–1541, 2014.
  10. D. P. Kouri, M. Heinkenschloss, D. Ridzal, and B. G. van Bloemen Waanders Inexact objective function evaluations in a trust-region algorithm for PDE-constrained optimization under uncertainty. SIAM Journal on Scientific Computing, 36(6):A3011–A3029, 2014.
  11. P. Bochev, D. Ridzal, and M. Shashkov Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. Journal of Computational Physics, 246:37–57, 2013.
  12. D. P. Kouri, M. Heinkenschloss, D. Ridzal, and B. G. van Bloemen Waanders A trust-region algorithm with adaptive stochastic collocation for PDE optimization under uncertainty. SIAM Journal on Scientific Computing, 35(4):A1847–A1879, 2013.
  13. J. Young and D. Ridzal An application of random projection to parameter estimation in partial dif- ferential equations. SIAM Journal on Scientific Computing, 34(4):A2344–A2365, 2012.
  14. P. Bochev, H. C. Edwards, R. C. Kirby, K. J. Peterson, and D. Ridzal Solving PDEs with Intrepid. Scientific Programming, 20(2):151–180, 2012.
  15. P. Bochev, D. Ridzal, G. Scovazzi, and M. Shashkov Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian– Eulerian methods. Journal of Computational Physics, 230(13):5199–5225, 2011.
  16. P. Bochev and D. Ridzal Rehabilitation of the lowest-order Raviart–Thomas element on quadrilateral grids SIAM Journal on Numerical Analysis, 47(1):487–507, 2009.
  17. P. Bochev and D. Ridzal An optimization-based approach for the design of PDE solution algorithms. SIAM Journal on Numerical Analysis, 47(5):3938–3955, 2009.
  18. R. A. Bartlett, M. Heinkenschloss, D. Ridzal, and B. G. van Bloemen Waanders Domain decomposition methods for advection dominated linear-quadratic elliptic optimal control problems. Computer Methods in Applied Mechanics and Engineering, 195(44-47):6428–6447, 2006.
  19. P. Bleher and D. Ridzal SU(1, 1) random polynomials. Journal of Statistical Physics, 106:147–171, 2002.

Proceedings articles and editorials

  1. D. Ridzal and P. Bochev Optimization-based property-preserving solution recovery for fault-tolerant scalar transport. In 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) (ECCM 6), pages 2571-2580. CIMNE, 2018.
  2. T. A. Takhtaganov, D. P. Kouri, and D. Ridzal An importance sampling approach to risk estimation. In Center for Computing Research Summer Proceedings 2016, pages 77-96. Sandia National Labs, 2016.
  3. P. Bochev, S. A. Moe, K. J. Peterson, and D. Ridzal A conservative, optimization-based semi- Lagrangian spectral element method for passive tracer transport. In COUPLED VI: Proceedings of the VI International Conference on Computational Methods for Coupled Problems in Science and Engineering, pages 23-34. CIMNE, 2015.
  4. M. Hajghassem, E. C. Cyr, and D. Ridzal A time-parallel method for the solution of PDE-constrained optimization problems. In Center for Computing Research Summer Proceedings 2015. Sandia National Labs, 2015.
  5. S. A. Moe, P. Bochev, K. J. Peterson, and D. Ridzal A conservative semi-Lagrangian spectral element method with optimization based limiters. In Computer Science Research Institute Summer Proceedings 2014, pages 54–66. Sandia National Labs, 2014.
  6. X. Deng, D. P. Kouri, and D. Ridzal Risk-averse optimal Neumann control. In Computer Science Research Institute Summer Proceedings 2014, pages 3-14. Sandia National Labs, 2014.
  7. T. A. Takhtaganov, D. P. Kouri, D. Ridzal, and E. Keiter Optimization under uncertainty for the Shockley and the drift-diffusion models of a diode. In Computer Science Research Institute Summer Proceedings 2014, pages 165-174. Sandia National Labs, 2014.
  8. K. J. Peterson, P. Bochev, and D. Ridzal Optimization-based conservative transport on the cubed-sphere grid. In Large-Scale Scientific Computing: 9th International Conference, LSSC 2013, Sozopol, Bulgaria, pages 205-212. Springer Berlin Heidelberg, 2014.
  9. P. Bochev, D. Ridzal, and J. Young Optimization-based modeling with applications to transport: Part 1, abstract formulation. In Large-Scale Scientific Computing: 8th International Conference, LSSC 2011, Sozopol, Bulgaria, volume 7116 of Lecture Notes in Computer Science, pages 63-71. Springer Berlin Heidelberg, 2012.
  10. J. Young, D. Ridzal, and P. Bochev Optimization-based modeling with applications to transport: Part 2, the optimization algorithm. In Large-Scale Scientific Computing: 8th International Conference, LSSC 2011, Sozopol, Bulgaria, volume 7116 of Lecture Notes in Computer Science, pages 72-80. Springer Berlin Heidelberg, 2012.
  11. D. Ridzal, J. Young, P. Bochev, and K. J. Peterson Optimization-based modeling with applications to transport: Part 3, computational studies. In Large-Scale Scientific Computing: 8th International Con- ference, LSSC 2011, Sozopol, Bulgaria, volume 7116 of Lecture Notes in Computer Science, pages 81-88. Springer Berlin Heidelberg, 2012.
  12. N. Roberts, D. Ridzal, P. Bochev, L. Demkowicz, K. J. Peterson, and C. Siefert Application of a discontinuous Petrov-Galerkin method to the Stokes equations. In Computer Science Research Institute Summer Proceedings 2010, pages 32-46. Sandia National Labs, 2010.
  13. P. Bochev and D. Ridzal Additive operator decomposition and optimization–based reconnection with applications. In Large-Scale Scientific Computing: 7th International Conference, LSSC 2009, Sozopol, Bulgaria, volume 5910 of Lecture Notes in Computer Science, pages 645-652. Springer Berlin Heidelberg, 2009.
  14. M. Heinkenschloss and D. Ridzal An inexact trust-region SQP method with applications to PDE-constrained optimization. In Numerical Mathematics and Advanced Applications: Proceedings of ENU- MATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, pages 613-620. Springer Berlin Heidelberg, 2008.
  15. M. Keegan, D. Ridzal, and P. Bochev Sparse-grid integration in finite element spaces. In Computer Science Research Institute Summer Proceedings 2008, pages 32-43. Sandia National Labs, 2008.
  16. D. Ridzal and S. S. Collis, editors Computer Science Research Institute Summer Proceedings 2008. Sandia National Labs, 2008.
  17. M. Heinkenschloss and D. Ridzal Integration of sequential quadratic programming and domain decomposition methods for nonlinear optimal control problems. In Domain decomposition methods in science and engineering XVII, pages 69-80. Springer Berlin Heidelberg, 2008.
  18. P. Bochev and D. Ridzal Finite element solution of optimal control problems arising in semiconductor modeling. In Large-Scale Scientific Computing: 6th International Conference, LSSC 2007, Sozopol, Bulgaria, volume 4818 of Lecture Notes in Computer Science, pages 235-242. Springer Berlin Heidelberg, 2007.

Technical Reports

  1. K. DiPietro, D. Morales, and D. Ridzal Adaptive space-time methods for large scale optimal design. Technical Report SAND2022-13849, Sandia National Labs, 2022.
  2. M. L. Bynum, E. C. Cyr, J. H. Jalving, D. P. Kouri, B. L. Nicholson, D. Ridzal, J. D. Siirola, G. J. von Winckel, C. D. Laird, R. Parker, H. Antil, J. S. Rodriguez, N. J. Kroeger, M. Heinkenschloss, and S. Lin. Distributed in time techniques for optimization at extreme scales. Technical Report SAND2021-13445, Sandia National Labs, 2021.
  3. S. Hardesty, D. P. Kouri, P. Lindsay, D. Ridzal, B. L. Stevens, and R. Viertel Shape Optimization for Control and Isolation of Structural Vibrations in Aerospace and Defense Applications. Technical Report SAND2020-9978, Sandia National Labs, 2020.
  4. E. C. Cyr, G. J. von Winckel, D. P. Kouri, T. A. Gardiner, D. Ridzal, J. N. Shadid, and S. Miller LDRD Report: Topological Design Optimization of Convolutes in Next Generation Pulsed Power Devices. Technical Report SAND2017-13410, Sandia National Labs, 2017.
  5. P. Bochev, P. A. Kuberry, K. J. Peterson, D. Ridzal, A. C. Robinson, and M. K. Wong. Coupled Computational Models: From Art to Science. A Final LDRD Report. Technical Report SAND2016-11336, Sandia National Labs, 2016.
  6. T. Walsh, W. Aquino, D. Ridzal, and D.P. Kouri Inversion for Eigenvalues and Modes Using Sierra-SD and ROL. Technical Report SAND2015-11101, Sandia National Labs, 2015.
  7. T. Walsh, W. Aquino, D. Ridzal, D. P. Kouri, B. G. van Bloemen Waanders, and A. Urbina Viscoelastic material inversion using Sierra-SD and ROL. Technical Report SAND2014-19498, Sandia National Labs, 2014.
  8. M. A. Aguiló and D. Ridzal Optimality conditions for the numerical solution of optimization problems with PDE constraints. Technical Report SAND2014-2464, Sandia National Labs, 2014.
  9. J. R. Kamm, E. Love, A. C. Robinson, J. Young, and D. Ridzal Edge remap for solids. Technical Report SAND2013-10281, Sandia National Labs, 2013.
  10. D. Ridzal, M. Aguiló, and J. Young Preconditioning of a Full-Space Trust-Region SQP Algorithm for PDE-constrained Optimization. Technical Report 04/2013, Mathematisches Forschungsinstitut Oberwolfach, 2013. In Numerical Methods for PDE Constrained Optimization with Uncertain Data.
  11. D. Kouri, M. Heinkenschloss, D. Ridzal, and B. van Bloemen Waanders An Approach for the Adaptive Solution of Optimization Problems Governed by Partial Differential Equations with Uncertain Coefficients. Technical Report 04/2013, Mathematisches Forschungsinstitut Oberwolfach, 2013. In Numerical Methods for PDE Constrained Optimization with Uncertain Data.
  12. J. Young and D. Ridzal Designing experiments through compressed sensing. Technical Report SAND2013-4766, Sandia National Labs, 2013.
  13. N. D. Roberts, P. Bochev, L. D. Demkowicz, and D. Ridzal A toolbox for a class of discontinuous Petrov-Galerkin methods using Trilinos. Technical Report SAND2011-6678, Sandia National Labs, 2011.
  14. M. Heinkenschloss, D. Ridzal, and M. A. Aguiló Numerical study of a matrix-free trust-region SQP method for equality constrained optimization. Technical Report SAND2011-9346, Sandia National Labs, 2011.
  15. D. Ridzal and P. Bochev Robust Solution Methods via Optimal Control Reformulation. Technical Report 04/2009, Mathematisches Forschungsinstitut Oberwolfach, 2009. In Numerical Techniques for Optimization Problems with PDE Constraints.
  16. R. Bartlett, S. Collis, T. Coffey, D. Day, M. Heroux, R. Hoekstra, R. Hooper, R. Pawlowski, E. Phipps, D. Ridzal, A. Salinger, H. Thornquist, and J. Willenbring ASC Vertical Integration Milestone. Technical Report SAND2007-5839, Sandia National Labs, 2007.

Sandia Labs Publication Database (may overlap with the above)

Kelsey DiPietro, Denis Ridzal, Diana Morales, (2022). Adaptive Space-Time Methods for Large Scale Optimal Design https://doi.org/10.2172/1891589 Publication ID: 80338

Sean Hardesty, Harbir Antil, Drew Kouri, Denis Ridzal, (2021). The Strip Method for Shape Derivatives https://doi.org/10.2172/1876615 Publication ID: 79188

Michael Bynum, Santiago Rodriguez, Carl Laird, Bethany Nicholson, Jordan Jalving, John Siirola, Denis Ridzal, (2021). Scalable Parallel Nonlinear Optimization with PyNumero and Parapint https://doi.org/10.2172/1884206 Publication ID: 79451

Kelsey DiPietro, Denis Ridzal, Alan Lindsay, (2021). Efficient finite element methods for solving the Monge-Ampere equation https://doi.org/10.2172/1888672 Publication ID: 79470

Sean Hardesty, Harbir Antil, Drew Kouri, Denis Ridzal, (2021). The Strip Method for Shape Derivatives https://doi.org/10.2172/1876593 Publication ID: 78989

David Robinson, Maher Salloum, Denis Ridzal, Drew Kouri, (2021). Fluid flow control devices with 3D-graded permeability https://doi.org/10.2172/1867123 Publication ID: 78357

David Robinson, Maher Salloum, Denis Ridzal, Drew Kouri, (2021). Design of chromatography columns with 3D-graded permeability https://doi.org/10.2172/1861979 Publication ID: 77921

Michael Bynum, Denis Ridzal, (2020). Parapint:Rapid Development ofParallel Decomposition Algorithms forDynamic Optimization https://www.osti.gov/servlets/purl/1837398 Publication ID: 72341

David Robinson, Maher Salloum, Denis Ridzal, Drew Kouri, David Saiz, Bradley Jared, (2020). Fluid flow control deviceswith 3D-graded permeability https://doi.org/10.2172/1831022 Publication ID: 71569

Denis Ridzal, Drew Kouri, (2020). An Augmented Lagrangian Equality-constrained SQP (ALESQP) Method for Function-space Optimization with General Constraints https://doi.org/10.2172/1877850 Publication ID: 71348

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

Eric Cyr, Guenther, Lars Ruthotto, Schroder, Gauger, Denis Ridzal, (2020). A Layer-Parallel Approach for Training Deep Neural Networks https://www.osti.gov/servlets/purl/1812174 Publication ID: 74353

Drew Kouri, Denis Ridzal, Raymond Tuminaro, (2020). KKT preconditioners for pde-constrained optimization with the helmholtz equation SIAM Journal on Scientific Computing https://doi.org/10.1137/20m1349199 Publication ID: 73984

Maher Salloum, David Robinson, Denis Ridzal, Drew Kouri, David Saiz, Bradley Jared, (2020). Fluid Flow Control Devices with Graded Permeability https://www.osti.gov/servlets/purl/1761291 Publication ID: 70765

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

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, Denis Ridzal, Stefanie Guenther, Lars Ruthotto, Jacob Schroder, Nico Gauger, (2019). Exploiting ?time-domain? parallelism to accelerate neural network training and PDE constrained optimization https://www.osti.gov/servlets/purl/1807168 Publication ID: 64641

Denis Ridzal, Eric Cyr, Bart van Bloemen Waanders, (2019). Adjoint-based Parallel-in-time Optimization for Electromagnetics: From Source Inversion to Design https://www.osti.gov/servlets/purl/1640205 Publication ID: 68833

Eric Cyr, Denis Ridzal, (2019). A Parallel-in-Time Multigrid Preconditioner for KKT Systems Arising in Full Space Optimization https://www.osti.gov/servlets/purl/1639544 Publication ID: 67715

Denis Ridzal, (2019). Scalable Optimization of Discrete-Time PDE Systems with Inequality Constraints https://www.osti.gov/servlets/purl/1602616 Publication ID: 67160

Curtis Ober, Roger Pawlowski, Sidafa Conde, Irina Tezaur, Eric Phipps, Edward Phillips, Alejandro Mota, Greg Phlipot, Denis Ridzal, Michael Hansen, Travis Fisher, (2018). Tempus Time-Integration Package & Applications https://www.osti.gov/servlets/purl/1593047 Publication ID: 59833

Denis Ridzal, Eric Cyr, (2018). Multigrid-in-time methods for optimization with nonlinear PDE/DAE constraints https://www.osti.gov/servlets/purl/1531095 Publication ID: 62853

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

Denis Ridzal, (2018). COMPUTATIONAL TOOLS FOR FREE-FORM OPTIMIZATION OF LARGE-SCALE EnMat STRUCTURES https://www.osti.gov/servlets/purl/1510167 Publication ID: 61533

Ihab El-Kady, Charles Reinke, Bart van Bloemen Waanders, Denis Ridzal, Mehmet Su, David Fitzpatrick, Ryan Chilton, (2018). COMPUTATIONAL TOOLS FOR FREE-FORM OPTIMIZATION OF LARGE-SCALE EnMat STRUCTURES https://www.osti.gov/servlets/purl/1525573 Publication ID: 61542

Ihab El-Kady, Charles Reinke, Bart van Bloemen Waanders, Denis Ridzal, Mehmet Su, David Fitzpatrick, Ryan Chilton, (2018). MIRaGE Multiscale Inverse Rapid Group-theory for Engineered-metamaterials https://www.osti.gov/servlets/purl/1525574 Publication ID: 61543

Charles Reinke, Ihab El-Kady, Charles Reinke, Bart van Bloemen Waanders, Denis Ridzal, Mehmet Su, David Fitzpatrick, Ryan Chilton, (2018). FEMLITE: Rapid Electromagnetic Modeling of Periodic Metamaterial Structures https://www.osti.gov/servlets/purl/1575339 Publication ID: 61544

Ihab El-Kady, Charles Reinke, Bart van Bloemen Waanders, Denis Ridzal, Mehmet Su, David Fitzpatrick, Ryan Chilton, (2018). A group theory approach to tailored optical properties of metamaterials https://www.osti.gov/servlets/purl/1525575 Publication ID: 61545

Denis Ridzal, Drew Kouri, (2018). Scalable Algorithms and Software for PDE-Constrained Optimization Under Uncertainty https://www.osti.gov/servlets/purl/1508919 Publication ID: 61656

Drew Kouri, Denis Ridzal, (2018). Inexact Trust-Region Methods for PDE-Constrained Optimization https://www.osti.gov/biblio/1434233 Publication ID: 58660

Eric Phipps, Daniel Turner, Kathryn Maupin, Jaideep Ray, Denis Ridzal, (2018). SNL ATDM Math Libraries ? Data Propagation Components https://www.osti.gov/servlets/purl/1806499 Publication ID: 58775

Denis Ridzal, Drew Kouri, Gregory von Winckel, (2017). Rapid Optimization Library https://www.osti.gov/servlets/purl/1481491 Publication ID: 54022

Eric Cyr, Denis Ridzal, (2017). Towards Parallel in Time for Full Space Optimization https://www.osti.gov/servlets/purl/1509626 Publication ID: 53292

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

Eric Cyr, Gregory von Winckel, Drew Kouri, Thomas Gardiner, Denis Ridzal, John Shadid, Sean Miller, (2017). LDRD Report: Topological Design Optimization of Convolutes in Next Generation Pulsed Power Devices https://doi.org/10.2172/1413648 Publication ID: 54655

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

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

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

Drew Kouri, Denis Ridzal, Gregory von Winckel, (2017). The Rapid Optimization Library: Software for large-scale optimization https://www.osti.gov/servlets/purl/1456449 Publication ID: 55706

Eric Cyr, Gregory von Winckel, Thomas Gardiner, Drew Kouri, Denis Ridzal, Sean Miller, John Shadid, (2017). Topology Optimization: Challenges Algorithms and Applications https://www.osti.gov/servlets/purl/1429279 Publication ID: 55430

Denis Ridzal, Eric Cyr, (2017). Inexact parallel-in-time solvers and SQP methods for PDE-constrained optimization https://www.osti.gov/servlets/purl/1524491 Publication ID: 55076

Eric Phipps, Byron Hanks, Francesco Rizzi, Denis Ridzal, Joshua Robbins, Miguel Aguilo Valentin, Kevin Copps, (2017). SNL ATDM Analysis Components https://www.osti.gov/servlets/purl/1505484 Publication ID: 53180

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

Denis Ridzal, Drew Kouri, (2016). A Full-Space Approach to Stochastic Optimization with Simulation Constraints https://www.osti.gov/servlets/purl/1581536 Publication ID: 49305

Gregory von Winckel, Eric Cyr, Drew Kouri, Denis Ridzal, Thomas Gardiner, John Shadid, (2016). Reduced and Full Space Methods in Topology Optimization: Applications in Linear Elasticity and Electrical Conduction https://www.osti.gov/servlets/purl/1364862 Publication ID: 49038

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

Denis Ridzal, Eric Cyr, Mona Hajghassem, (2015). A time-parallel method for the solution of PDE-constrained optimization problems https://doi.org/10.2172/1430466 Publication ID: 42089

Timothy Walsh, Wilkins Aquino, Denis Ridzal, Drew Kouri, (2015). Inversion for Eigenvalues and Modes Using Sierra-SD and ROL https://doi.org/10.2172/1233625 Publication ID: 42119

Drew Kouri, Wilkins Aquino, Denis Ridzal, Ralph Rockafellar, Alexander Shapiro, Stan Uryasev, (2015). Risk-Averse Optimization of Large-Scale Multiphysics Systems https://www.osti.gov/servlets/purl/1333463 Publication ID: 41670

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

Denis Ridzal, (2015). Inexact full-space methods for simulation-based inverse problems and large-scale optimization https://www.osti.gov/servlets/purl/1279669 Publication ID: 44717

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

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

Bart van Bloemen Waanders, Drew Kouri, Denis Ridzal, Stan Uryasef, (2015). Optimization Under Uncertainty for Magnetic Confinement Fusion https://www.osti.gov/servlets/purl/1250731 Publication ID: 43211

Denis Ridzal, Drew Kouri, Bart van Bloemen Waanders, (2015). Integration of Approximate Schur Preconditioners and SQP Algorithms for Nonlinear PDE Optimization under Uncertainty https://www.osti.gov/servlets/purl/1882357 Publication ID: 42532

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

Denis Ridzal, Drew Kouri, (2014). Rapid Optimization Library https://www.osti.gov/servlets/purl/1367652 Publication ID: 39430

Denis Ridzal, (2014). Intrelab https://www.osti.gov/servlets/purl/1367602 Publication ID: 39483

Mauro Perego, Andrew Salinger, Eric Phipps, Denis Ridzal, Drew Kouri, Irina Tezaur, S. Price, G. Stadler, (2014). Adjoint-based Deterministic Inversion for Ice Sheets https://www.osti.gov/servlets/purl/1242148 Publication ID: 39370

Timothy Walsh, Wilkins Aquino, Denis Ridzal, Drew Kouri, Bart van Bloemen Waanders, Angel Urbina, (2014). Viscoelastic material inversion using Sierra-SD and ROL https://doi.org/10.2172/1322276 Publication ID: 39391

Timothy Walsh, Wilkins Aquino, Denis Ridzal, Drew Kouri, Bart van Bloemen Waanders, (2014). A massively parallel framework for source and material inverse problems in structural acoustics https://www.osti.gov/servlets/purl/1502315 Publication ID: 38263

Kara Peterson, Pavel Bochev, Denis Ridzal, (2014). Optimization-Based Transport of Passive Tracers https://www.osti.gov/servlets/purl/1494442 Publication ID: 37853

Denis Ridzal, (2014). Optimization-based models and algorithms for feature-preserving %0Cfinite element transport https://www.osti.gov/servlets/purl/1496082 Publication ID: 37862

Kara Peterson, Pavel Bochev, Denis Ridzal, (2014). Optimization-Based Tracer Transport on the Sphere https://www.osti.gov/servlets/purl/1142296 Publication ID: 40321

Miguel Aguilo Valentin, Denis Ridzal, (2014). Optimality conditions for the numerical solution of optimization problems with PDE constraints : https://doi.org/10.2172/1200665 Publication ID: 40161

Kara Peterson, Pavel Bochev, Denis Ridzal, (2014). Optimization-based conservative transport on the cubed-sphere grid Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://doi.org/10.1007/978-3-662-43880-0_22 Publication ID: 32564

Edward Love, Allen Robinson, Denis Ridzal, (2013). Edge remap for solids https://doi.org/10.2172/1200671 Publication ID: 31778

Denis Ridzal, Drew Kouri, Bart van Bloemen Waanders, (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 Publication ID: 32034

Pavel Bochev, Denis Ridzal, Kara Peterson, (2013). Perspectives on preservation of physical properties through optimization https://www.osti.gov/servlets/purl/1673222 Publication ID: 35902

Denis Ridzal, Pavel Bochev, Kara Peterson, (2013). Fast optimization algorithms for feature-preserving solution transfer https://www.osti.gov/servlets/purl/1106591 Publication ID: 35030

Kara Peterson, Pavel Bochev, Denis Ridzal, (2013). Optimization-Based Transport on the Cubed Sphere Grid https://doi.org/10.1007/978-3-662-43880-0_22 Publication ID: 34818

Timothy Walsh, Denis Ridzal, Miguel Aguilo Valentin, (2013). Inverse Structural Acoustic Source and Material Identification in a Massively Parallel Finite Element Framework https://www.osti.gov/servlets/purl/1106883 Publication ID: 34660

Denis Ridzal, (2013). Fast algorithms for optimization-based remap and transport with feature preservation https://www.osti.gov/servlets/purl/1106832 Publication ID: 34442

Kara Peterson, Pavel Bochev, Denis Ridzal, (2013). Optimization-Based Transport on the Cubed Sphere Grid https://doi.org/10.1007/978-3-662-43880-0_22 Publication ID: 34464

Joseph Young, Denis Ridzal, (2013). Designing experiments through compressed sensing https://doi.org/10.2172/1089978 Publication ID: 34049

Denis Ridzal, Miguel Aguilo Valentin, Jeffrey Young, (2013). Solving massive-scale inverse problems using matrix-fre dequential quadratic programming (SQP) methods https://www.osti.gov/servlets/purl/1095564 Publication ID: 34168

Denis Ridzal, Joseph Young, (2013). Application of Second-Order Optimization Algorithms toInverse Problems in Nonlinear Elastostatics andCoupled Fluid Structure Interaction https://www.osti.gov/servlets/purl/1083088 Publication ID: 33996

Denis Ridzal, (2013). A matrix-free trust-region SQP method for equality constrained optimization SIAM Journal on Optimization https://www.osti.gov/biblio/1080019 Publication ID: 33713

Denis Ridzal, (2013). Scalable Algorithms for Large-Scale Inversion and Design https://www.osti.gov/servlets/purl/1661300 Publication ID: 33724

Timothy Walsh, Miguel Aguilo Valentin, Denis Ridzal, Joseph Young, (2013). Inverse Structural Acoustic Source and Material Identification in a Massively Parallel Finite Element Framework https://www.osti.gov/servlets/purl/1078962 Publication ID: 33300

Denis Ridzal, (2012). Discretization Capability Area https://www.osti.gov/servlets/purl/1649908 Publication ID: 30992

Timothy Walsh, Denis Ridzal, Joseph Young, (2012). Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework https://www.osti.gov/biblio/1062296 Publication ID: 30786

Denis Ridzal, John Shadid, Roger Pawlowski, (2012). Finite Element Global Unknown Numbering for Fully-Coupled “Beyond-Nodal” Discretizations https://www.osti.gov/servlets/purl/1116245 Publication ID: 30803

Timothy Walsh, Denis Ridzal, Joseph Young, (2012). Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework https://www.osti.gov/servlets/purl/1116242 Publication ID: 30859

Denis Ridzal, Bart van Bloemen Waanders, (2012). A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty Proposed for publication in SIAM Journal on Scientific Computing (SISC). https://www.osti.gov/biblio/1061199 Publication ID: 29992

Pavel Bochev, Denis Ridzal, (2012). Optimization-Based Transport on the Sphere https://www.osti.gov/biblio/1073220 Publication ID: 30049

Joseph Young, Denis Ridzal, (2012). Software Abstractions for Matrix-Free PDE Optimization with Cone Constraints https://www.osti.gov/biblio/1061049 Publication ID: 29596

Denis Ridzal, Kara Peterson, (2012). Optimization-Based Remap and Transport: Part 1 A Divide and Conquer Strategy for Feature-Preserving Discretizations https://www.osti.gov/servlets/purl/1116814 Publication ID: 29243

Denis Ridzal, Kara Peterson, (2012). Optimization-Based Remap and Transport: Part 2. A Divide and Conquer Strategy for Feature-Preserving Discretizations https://www.osti.gov/servlets/purl/1116769 Publication ID: 29244

Pavel Bochev, Denis Ridzal, (2012). Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations Proposed for publication in Journal of Computational Physics. https://www.osti.gov/biblio/1073403 Publication ID: 29365

Timothy Walsh, Denis Ridzal, Joseph Young, (2012). Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework https://www.osti.gov/biblio/1064356 Publication ID: 28518

Denis Ridzal, (2012). Fast optimization-based conservative remap of scalar fields through aggregate mass transfer Proposed for publication in Journal of Computational Physics. https://www.osti.gov/biblio/1073179 Publication ID: 28076

Denis Ridzal, (2012). A Matrix-Free Trust-Region SQP Algorithm for Large-Scale Optimization https://www.osti.gov/servlets/purl/1656997 Publication ID: 27572

Denis Ridzal, (2012). Preconditioning of Matrix-Free Full-Space Trust-Region SQP Algorithms for Nonlinear PDE Optimization https://www.osti.gov/biblio/1068513 Publication ID: 27349

Miguel Aguilo Valentin, Denis Ridzal, Joseph Young, (2012). Solving Large-Scale Inverse Problems in Elasticity Using Sequential Quadratic Programming (SQP) https://www.osti.gov/servlets/purl/1078650 Publication ID: 27382

Joseph Young, Denis Ridzal, Miguel Aguilo Valentin, (2012). Efficient Handling of Inequality Constraints in a Matrix-Free Trust-Region SQP Algorithm https://www.osti.gov/biblio/1068470 Publication ID: 27386

Denis Ridzal, Miguel Aguilo Valentin, (2011). Numerical study of a matrix-free trust-region SQP method for equality constrained optimization https://doi.org/10.2172/1038211 Publication ID: 25682

Denis Ridzal, Pavel Bochev, (2011). A toolbox for a class of discontinuous Petrov-Galerkin methods using trilinos https://doi.org/10.2172/1029782 Publication ID: 24425

Miguel Aguilo Valentin, Denis Ridzal, Joseph Young, (2011). A Sequential Quadratic Programming (SQP) Algorithm and the Modied Error in Constitutive Equation (MECE) Principle for Parameter Estimation https://www.osti.gov/servlets/purl/1120237 Publication ID: 23745

Joseph Young, Denis Ridzal, Pavel Bochev, (2011). Optimization-Based Modeling: Part 3 – Monotone Methods for Transport without Limiters https://www.osti.gov/servlets/purl/1107675 Publication ID: 23049

Joseph Young, Denis Ridzal, (2011). Compressed Sensing in a Finite Product of Hilbert Spaces https://www.osti.gov/servlets/purl/1109311 Publication ID: 22913

Joseph Young, Denis Ridzal, (2011). The Application of Random Projection to Parameter Estimation https://www.osti.gov/servlets/purl/1108070 Publication ID: 22738

Kara Peterson, Pavel Bochev, Denis Ridzal, (2011). Intrepid Functionality for Parvis https://www.osti.gov/servlets/purl/1671462 Publication ID: 22313

Denis Ridzal, Joseph Young, Pavel Bochev, Kara Peterson, (2011). Optimization-based modeling with applications to transport. Part 3. Computational studies https://www.osti.gov/servlets/purl/1108660 Publication ID: 22103

Denis Ridzal, Joseph Young, (2011). Optimization–based modeling with applications to transport. Part 1. Abstract formulation https://www.osti.gov/servlets/purl/1109035 Publication ID: 21895

Denis Ridzal, Joseph Young, Pavel Bochev, (2011). Optimization-based modeling with applications to transport. Part 2. The optimization algorithm https://www.osti.gov/servlets/purl/1108772 Publication ID: 22012

Denis Ridzal, (2011). Optimization-Based Remap https://www.osti.gov/servlets/purl/1109226 Publication ID: 21771

Pavel Bochev, Denis Ridzal, Guglielmo Scovazzi, Mikhail Shashkov, (2011). Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods Journal of Computational Physics https://www.osti.gov/biblio/1123416 Publication ID: 18748

Pavel Bochev, Denis Ridzal, (2010). Solving PDEs with intrepid https://www.osti.gov/biblio/1030374 Publication ID: 20562

Denis Ridzal, (2010). A robust matrix-free trust-region SQP method for large-scale optimization https://www.osti.gov/biblio/992768 Publication ID: 17839

Denis Ridzal, Pavel Bochev, Guglielmo Scovazzi, Kara Peterson, (2010). Optimization-based constrained modeling : a new transport paradigm https://www.osti.gov/biblio/990087 Publication ID: 17607

Pavel Bochev, Denis Ridzal, (2008). Finite element solution of optimal control problems arising in semiconductor modeling Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) https://www.osti.gov/servlets/purl/1147944 Publication ID: 9817

Denis Ridzal, Pavel Bochev, (2008). Scalable Solution Methods via Optimal Control Reformulations https://www.osti.gov/servlets/purl/1143044 Publication ID: 14127

Denis Ridzal, (2008). Rehabilitation of quadrilateral Raviart-Thomas elements https://www.osti.gov/servlets/purl/1142913 Publication ID: 14092

Denis Ridzal, Pavel Bochev, (2007). Intrepid https://www.osti.gov/servlets/purl/1720262 Publication ID: 11937

Denis Ridzal, (2007). An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization https://www.osti.gov/servlets/purl/1720272 Publication ID: 11969

Denis Ridzal, (2007). Analysis and Control of Numerical Uncertainty in PDE-Constrained Optimization https://www.osti.gov/servlets/purl/1719031 Publication ID: 11743

Denis Ridzal, (2007). Rehabilitation of the lowest-order Raviart-Thomas element on quadrilateral grids SIAM J. Numerical Analysis https://www.osti.gov/biblio/1146565 Publication ID: 11492

Denis Ridzal, Pavel Bochev, (2007). A Comparative Study of Galerkin and Mixed Galerkin Methods in Optimal Control Problems with Applications to Semiconductor Modeling https://www.osti.gov/servlets/purl/1157542 Publication ID: 9319

Denis Ridzal, (2005). Use of iterative linear solvers in a Lagrange-Newton SQP algorithm for large-scale nonlinear optimization https://www.osti.gov/biblio/969833 Publication ID: 5723

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