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)

  • DiPietro, K., Ridzal, D., Morales, D., & Morales, D. (2022). Adaptive Space-Time Methods for Large Scale Optimal Design. https://doi.org/10.2172/1891589 Publication ID: 80338
  • Hardesty, S., Antil, H., Kouri, D.P., Ridzal, D., & Ridzal, D. (2021). The Strip Method for Shape Derivatives [Conference Presenation]. https://doi.org/10.2172/1876615 Publication ID: 79188
  • Bynum, M., Rodriguez, S., Laird, C., Nicholson, B., Jalving, J., Siirola, J.D., Ridzal, D., & Ridzal, D. (2021). Scalable Parallel Nonlinear Optimization with PyNumero and Parapint [Conference Presenation]. https://doi.org/10.2172/1884206 Publication ID: 79451
  • DiPietro, K., Ridzal, D., Lindsay, A., & Lindsay, A. (2021). Efficient finite element methods for solving the Monge-Ampere equation [Conference Presenation]. https://doi.org/10.2172/1888672 Publication ID: 79470
  • Hardesty, S., Antil, H., Kouri, D.P., Ridzal, D., & Ridzal, D. (2021). The Strip Method for Shape Derivatives [Conference Presenation]. https://doi.org/10.2172/1876593 Publication ID: 78989
  • Robinson, D., Salloum, M., Ridzal, D., Kouri, D.P., & Kouri, D.P. (2021). Fluid flow control devices with 3D-graded permeability [Conference Presenation]. https://doi.org/10.2172/1867123 Publication ID: 78357
  • Robinson, D., Salloum, M., Ridzal, D., Kouri, D.P., & Kouri, D.P. (2021). Design of chromatography columns with 3D-graded permeability [Conference Presenation]. https://doi.org/10.2172/1861979 Publication ID: 77921
  • Bynum, M., Ridzal, D., & Ridzal, D. (2020). Parapint:Rapid Development ofParallel Decomposition Algorithms forDynamic Optimization [Presentation]. https://www.osti.gov/biblio/1837398 Publication ID: 72341
  • 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]. https://doi.org/10.2172/1831022 Publication ID: 71569
  • 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]. https://doi.org/10.2172/1877850 Publication ID: 71348
  • Bochev, P., Ridzal, D., D’Elia, M., Perego, M., Peterson, K., & Peterson, K. (2020). Optimization-based, property-preserving finite element methods for scalar advection equations and their connection to Algebraic Flux Correction. Computer Methods in Applied Mechanics and Engineering, 367. https://doi.org/10.1016/j.cma.2020.112982 Publication ID: 68885
  • Cyr, E., Guenther, &., Ruthotto, L., Schroder, &., Gauger, &., Ridzal, D., & Ridzal, D. (2020). A Layer-Parallel Approach for Training Deep Neural Networks [Presentation]. https://www.osti.gov/biblio/1812174 Publication ID: 74353
  • Ridzal, D., Bochev, P., & Bochev, P. (2020). Optimization-based property-preserving solution recovery for fault-tolerant scalar transport [Conference Poster]. Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081059417&origin=inward Publication ID: 62461
  • Salloum, M., Robinson, D., Ridzal, D., Kouri, D.P., Saiz, D.J., Jared, B.H., & Jared, B.H. (2020). Fluid Flow Control Devices with Graded Permeability [Presentation]. https://www.osti.gov/biblio/1761291 Publication ID: 70765
  • Kouri, D.P., Ridzal, D., Tuminaro, R., & Tuminaro, R. (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
  • Cyr, E., Gulian, M., Patel, R.G., Perego, M., Trask, N., Ridzal, D., Guenther, S., Ruthotto, L., Schroder, J., Gauger, N., & Gauger, N. (2019). Improved Neural Network Training: Layer-Parallelism Least-squares and Initialization [Conference Poster]. https://www.osti.gov/biblio/1643364 Publication ID: 66945
  • Cyr, E., Ridzal, D., Guenther, S., Ruthotto, L., Schroder, J., Gauger, N., & Gauger, N. (2019). Exploiting ?time-domain? parallelism to accelerate neural network training and PDE constrained optimization [Presentation]. https://www.osti.gov/biblio/1807168 Publication ID: 64641
  • Ridzal, D., Cyr, E., 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 Publication ID: 68833
  • Cyr, E., 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 Publication ID: 67715
  • Ridzal, D. (2019). Scalable Optimization of Discrete-Time PDE Systems with Inequality Constraints [Conference Poster]. https://www.osti.gov/biblio/1602616 Publication ID: 67160
  • Ober, C., Pawlowski, R., Conde, S., Tezaur, I., Phipps, E., Phillips, E., Mota, A., Phlipot, G., Ridzal, D., Hansen, M., Fisher, T., & Fisher, T. (2018). Tempus Time-Integration Package & Applications [Conference Poster]. https://www.osti.gov/biblio/1593047 Publication ID: 59833
  • Bochev, P., Perego, M., D’Elia, M., Ridzal, D., Peterson, K., & Peterson, K. (2018). Optimization-based property preserving finite element methods for transport equations [Conference Poster]. https://www.osti.gov/biblio/1525706 Publication ID: 62428
  • Ridzal, D., Cyr, E., & Cyr, E. (2018). Multigrid-in-time methods for optimization with nonlinear PDE/DAE constraints [Conference Poster]. https://www.osti.gov/biblio/1531095 Publication ID: 62853
  • Ridzal, D. (2018). COMPUTATIONAL TOOLS FOR FREE-FORM OPTIMIZATION OF LARGE-SCALE EnMat STRUCTURES [Presentation]. https://www.osti.gov/biblio/1510167 Publication ID: 61533
  • El-Kady, I., Reinke, C., 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 Publication ID: 61542
  • El-Kady, I., Reinke, C., 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 Publication ID: 61543
  • Reinke, C., El-Kady, I., Reinke, C., 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 Publication ID: 61544
  • El-Kady, I., Reinke, C., 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 Publication ID: 61545
  • 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 Publication ID: 61656
  • Kouri, D.P., Ridzal, D., & Ridzal, D. (2018). Inexact Trust-Region Methods for PDE-Constrained Optimization. https://www.osti.gov/biblio/1434233 Publication ID: 58660
  • Phipps, E., Turner, D., Maupin, K., Ray, J., Ridzal, D., & Ridzal, D. (2018). SNL ATDM Math Libraries ? Data Propagation Components [Presentation]. https://www.osti.gov/biblio/1806499 Publication ID: 58775
  • Ridzal, D., Kouri, D.P., von Winckel, G., & von Winckel, G. (2017). Rapid Optimization Library [Presentation]. https://www.osti.gov/biblio/1481491 Publication ID: 54022
  • Ridzal, D., D’Elia, M., Perego, M., Bochev, P., & Bochev, P. (2017). Property preserving finite element methods via constrained optimization [Conference Poster]. https://www.osti.gov/biblio/1513336 Publication ID: 53083
  • Cyr, E., Ridzal, D., & Ridzal, D. (2017). Towards Parallel in Time for Full Space Optimization [Conference Poster]. https://www.osti.gov/biblio/1509626 Publication ID: 53292
  • Cyr, E., von Winckel, G., Kouri, D.P., Gardiner, T., Ridzal, D., Shadid, J.N., Miller, S., & Miller, S. (2017). LDRD Report: Topological Design Optimization of Convolutes in Next Generation Pulsed Power Devices. https://doi.org/10.2172/1413648 Publication ID: 54655
  • Peterson, K., Ridzal, D., Bochev, P., & Bochev, P. (2017). Optimization-based Tracer Transport [Conference Poster]. https://www.osti.gov/biblio/1471980 Publication ID: 58536
  • Peterson, K., Bochev, P., Ridzal, D., Taylor, M., & Taylor, M. (2017). Optimization-Based Semi-Lagrangian Tracer Transport [Presentation]. https://www.osti.gov/biblio/1465013 Publication ID: 57961
  • D’Elia, M., Bochev, P., D’Elia, M., Perego, M., Ridzal, D., & Ridzal, D. (2017). Optimization-based property preserving finite element methods [Conference Poster]. https://www.osti.gov/biblio/1458218 Publication ID: 56710
  • 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 Publication ID: 55706
  • Cyr, E., von Winckel, G., Gardiner, T., 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 Publication ID: 55430
  • Ridzal, D., Cyr, E., & Cyr, E. (2017). Inexact parallel-in-time solvers and SQP methods for PDE-constrained optimization [Conference Poster]. https://www.osti.gov/biblio/1524491 Publication ID: 55076
  • Phipps, E., Hanks, B., Rizzi, F., Ridzal, D., Robbins, J., Aguilo Valentin, M., Copps, K., & Copps, K. (2017). SNL ATDM Analysis Components [Presentation]. https://www.osti.gov/biblio/1505484 Publication ID: 53180
  • Bochev, P., 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 Publication ID: 44430
  • 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 Publication ID: 49305
  • von Winckel, G., Cyr, E., Kouri, D.P., Ridzal, D., Gardiner, T., 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 Publication ID: 49038
  • Bochev, P., 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 Publication ID: 49131
  • Ridzal, D., Cyr, E., Hajghassem, M., & Hajghassem, M. (2015). A time-parallel method for the solution of PDE-constrained optimization problems. https://doi.org/10.2172/1430466 Publication ID: 42089
  • Walsh, T., Aquino, W., Ridzal, D., Kouri, D.P., & Kouri, D.P. (2015). Inversion for Eigenvalues and Modes Using Sierra-SD and ROL. https://doi.org/10.2172/1233625 Publication ID: 42119
  • Kouri, D.P., Aquino, W., Ridzal, D., Rockafellar, R., Shapiro, A., Uryasev, S., & Uryasev, S. (2015). Risk-Averse Optimization of Large-Scale Multiphysics Systems [Presentation]. https://www.osti.gov/biblio/1333463 Publication ID: 41670
  • Peterson, K., D’Elia, M., Ridzal, D., Bochev, P., Shashkov, M., & Shashkov, M. (2015). Optimization-based Mesh Correction [Conference Poster]. https://www.osti.gov/biblio/1326773 Publication ID: 45295
  • Ridzal, D. (2015). Inexact full-space methods for simulation-based inverse problems and large-scale optimization [Conference Poster]. https://www.osti.gov/biblio/1279669 Publication ID: 44717
  • Bochev, P., Moe, S., Peterson, K., 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/1253083 Publication ID: 43396
  • Bochev, P., Moe, S.A., Peterson, K., 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 Publication ID: 41486
  • 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 Publication ID: 43211
  • Peterson, K., Ridzal, D., Bochev, P., & Bochev, P. (2015). Feature-Preserving Finite Element Transport Across Interfaces: Part2, Direct Flux Recovery [Conference Poster]. https://www.osti.gov/biblio/1890367 Publication ID: 42426
  • 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 Publication ID: 42532
  • Perego, M., Salinger, A., Phipps, E., Ridzal, D., Kouri, D.P., Tezaur, I., Price, S., Stadler, G., & Stadler, G. (2014). Adjoint-based Deterministic Inversion for Ice Sheets [Presentation]. https://www.osti.gov/biblio/1242148 Publication ID: 39370
  • 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. https://doi.org/10.2172/1322276 Publication ID: 39391
  • Ridzal, D., Kouri, D.P., & Kouri, D.P. (2014). Rapid Optimization Library [Conference Poster]. https://www.osti.gov/biblio/1367652 Publication ID: 39430
  • Ridzal, D. (2014). Intrelab [Conference Poster]. https://www.osti.gov/biblio/1367602 Publication ID: 39483
  • 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 Publication ID: 38263
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2014). Optimization-Based Transport of Passive Tracers [Presentation]. https://www.osti.gov/biblio/1494442 Publication ID: 37853
  • Ridzal, D. (2014). Optimization-based models and algorithms for feature-preserving %0Cfinite element transport [Presentation]. https://www.osti.gov/biblio/1496082 Publication ID: 37862
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2014). Optimization-Based Tracer Transport on the Sphere [Conference]. https://www.osti.gov/biblio/1142296 Publication ID: 40321
  • Aguilo Valentin, M., Ridzal, D., & Ridzal, D. (2014). Optimality conditions for the numerical solution of optimization problems with PDE constraints :. https://doi.org/10.2172/1200665 Publication ID: 40161
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2014). Optimization-based conservative transport on the cubed-sphere grid [Conference]. 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
  • Love, E., Robinson, A., Ridzal, D., & Ridzal, D. (2013). Edge remap for solids. https://doi.org/10.2172/1200671 Publication ID: 31778
  • 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 Publication ID: 32034
  • Bochev, P., Ridzal, D., Peterson, K., & Peterson, K. (2013). Perspectives on preservation of physical properties through optimization [Presentation]. https://www.osti.gov/biblio/1673222 Publication ID: 35902
  • Ridzal, D., Bochev, P., Peterson, K., & Peterson, K. (2013). Fast optimization algorithms for feature-preserving solution transfer [Conference]. https://www.osti.gov/biblio/1106591 Publication ID: 35030
  • Ridzal, D. (2013). Fast algorithms for optimization-based remap and transport with feature preservation [Conference]. https://www.osti.gov/biblio/1106832 Publication ID: 34442
  • Peterson, K., Bochev, P., 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 Publication ID: 34464
  • Walsh, T., Ridzal, D., Aguilo Valentin, M., & Aguilo Valentin, M. (2013). Inverse Structural Acoustic Source and Material Identification in a Massively Parallel Finite Element Framework [Conference]. https://www.osti.gov/biblio/1106883 Publication ID: 34660
  • Peterson, K., Bochev, P., 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 Publication ID: 34818
  • Ridzal, D., Young, J., & Young, J. (2013). Application of Second-Order Optimization Algorithms toInverse Problems in Nonlinear Elastostatics andCoupled Fluid Structure Interaction [Conference]. https://www.osti.gov/biblio/1083088 Publication ID: 33996
  • Young, J., Ridzal, D., & Ridzal, D. (2013). Designing experiments through compressed sensing. https://doi.org/10.2172/1089978 Publication ID: 34049
  • Ridzal, D., Aguilo Valentin, M., Young, J., & Young, J. (2013). Solving massive-scale inverse problems using matrix-fre dequential quadratic programming (SQP) methods [Conference]. https://www.osti.gov/biblio/1095564 Publication ID: 34168
  • Ridzal, D. (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
  • Ridzal, D. (2013). Scalable Algorithms for Large-Scale Inversion and Design [Presentation]. https://www.osti.gov/biblio/1661300 Publication ID: 33724
  • Walsh, T., Aguilo Valentin, M., Ridzal, D., Young, J., & Young, J. (2013). Inverse Structural Acoustic Source and Material Identification in a Massively Parallel Finite Element Framework [Conference]. https://www.osti.gov/biblio/1078962 Publication ID: 33300
  • Ridzal, D. (2012). Discretization Capability Area [Presentation]. https://www.osti.gov/biblio/1649908 Publication ID: 30992
  • Walsh, T., Ridzal, D., Young, J., & Young, J. (2012). Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework [Conference]. https://www.osti.gov/biblio/1062296 Publication ID: 30786
  • Ridzal, D., Shadid, J.N., Pawlowski, R., & Pawlowski, R. (2012). Finite Element Global Unknown Numbering for Fully-Coupled “Beyond-Nodal” Discretizations [Conference]. https://www.osti.gov/biblio/1116245 Publication ID: 30803
  • Walsh, T., Ridzal, D., Young, J., & Young, J. (2012). Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework [Conference]. https://www.osti.gov/biblio/1116242 Publication ID: 30859
  • Ridzal, D., van Bloemen Waanders, B., & van Bloemen Waanders, B. (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
  • Bochev, P., Ridzal, D., & Ridzal, D. (2012). Optimization-Based Transport on the Sphere [Conference]. https://www.osti.gov/biblio/1073220 Publication ID: 30049
  • Young, J., Ridzal, D., & Ridzal, D. (2012). Software Abstractions for Matrix-Free PDE Optimization with Cone Constraints [Conference]. https://www.osti.gov/biblio/1061049 Publication ID: 29596
  • Ridzal, D., Peterson, K., & Peterson, K. (2012). Optimization-Based Remap and Transport: Part 1 A Divide and Conquer Strategy for Feature-Preserving Discretizations [Conference]. https://www.osti.gov/biblio/1116814 Publication ID: 29243
  • Ridzal, D., Peterson, K., & Peterson, K. (2012). Optimization-Based Remap and Transport: Part 2. A Divide and Conquer Strategy for Feature-Preserving Discretizations [Conference]. https://www.osti.gov/biblio/1116769 Publication ID: 29244
  • Bochev, P., Ridzal, D., & Ridzal, D. (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
  • Walsh, T., Ridzal, D., Young, J., & Young, J. (2012). Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework [Conference]. https://www.osti.gov/biblio/1064356 Publication ID: 28518
  • Ridzal, D. (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
  • Ridzal, D. (2012). A Matrix-Free Trust-Region SQP Algorithm for Large-Scale Optimization [Presentation]. https://www.osti.gov/biblio/1656997 Publication ID: 27572
  • Ridzal, D. (2012). Preconditioning of Matrix-Free Full-Space Trust-Region SQP Algorithms for Nonlinear PDE Optimization [Conference]. https://www.osti.gov/biblio/1068513 Publication ID: 27349
  • Aguilo Valentin, M., Ridzal, D., Young, J., & Young, J. (2012). Solving Large-Scale Inverse Problems in Elasticity Using Sequential Quadratic Programming (SQP) [Conference]. https://www.osti.gov/biblio/1078650 Publication ID: 27382
  • Young, J., Ridzal, D., Aguilo Valentin, M., & Aguilo Valentin, M. (2012). Efficient Handling of Inequality Constraints in a Matrix-Free Trust-Region SQP Algorithm [Conference]. https://www.osti.gov/biblio/1068470 Publication ID: 27386
  • Ridzal, D., Aguilo Valentin, M., & Aguilo Valentin, M. (2011). Numerical study of a matrix-free trust-region SQP method for equality constrained optimization. https://doi.org/10.2172/1038211 Publication ID: 25682
  • Ridzal, D., Bochev, P., & Bochev, P. (2011). A toolbox for a class of discontinuous Petrov-Galerkin methods using trilinos. https://doi.org/10.2172/1029782 Publication ID: 24425
  • Aguilo Valentin, M., Ridzal, D., Young, J., & Young, J. (2011). A Sequential Quadratic Programming (SQP) Algorithm and the Modied Error in Constitutive Equation (MECE) Principle for Parameter Estimation [Conference]. https://www.osti.gov/biblio/1120237 Publication ID: 23745
  • Young, J., Ridzal, D., Bochev, P., & Bochev, P. (2011). Optimization-Based Modeling: Part 3 – Monotone Methods for Transport without Limiters [Conference]. https://www.osti.gov/biblio/1107675 Publication ID: 23049
  • Young, J., Ridzal, D., & Ridzal, D. (2011). The Application of Random Projection to Parameter Estimation [Conference]. https://www.osti.gov/biblio/1108070 Publication ID: 22738
  • Young, J., Ridzal, D., & Ridzal, D. (2011). Compressed Sensing in a Finite Product of Hilbert Spaces [Conference]. https://www.osti.gov/biblio/1109311 Publication ID: 22913
  • Peterson, K., Bochev, P., Ridzal, D., & Ridzal, D. (2011). Intrepid Functionality for Parvis [Presentation]. https://www.osti.gov/biblio/1671462 Publication ID: 22313
  • Ridzal, D., Young, J., & Young, J. (2011). Optimization–based modeling with applications to transport. Part 1. Abstract formulation [Conference]. https://www.osti.gov/biblio/1109035 Publication ID: 21895
  • Ridzal, D., Young, J., Bochev, P., & Bochev, P. (2011). Optimization-based modeling with applications to transport. Part 2. The optimization algorithm [Conference]. https://www.osti.gov/biblio/1108772 Publication ID: 22012
  • Ridzal, D., Young, J., Bochev, P., Peterson, K., & Peterson, K. (2011). Optimization-based modeling with applications to transport. Part 3. Computational studies [Conference]. https://www.osti.gov/biblio/1108660 Publication ID: 22103
  • Ridzal, D. (2011). Optimization-Based Remap [Conference]. https://www.osti.gov/biblio/1109226 Publication ID: 21771
  • Bochev, P., Ridzal, D., Scovazzi, G., Shashkov, M., & Shashkov, M. (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, 230(13), pp. 5199-5225. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79955387071&origin=inward Publication ID: 18748
  • Bochev, P., Ridzal, D., & Ridzal, D. (2010). Solving PDEs with intrepid [Conference]. https://www.osti.gov/biblio/1030374 Publication ID: 20562
  • Ridzal, D. (2010). A robust matrix-free trust-region SQP method for large-scale optimization [Conference]. https://www.osti.gov/biblio/992768 Publication ID: 17839
  • Ridzal, D., Bochev, P., Scovazzi, G., Peterson, K., & Peterson, K. (2010). Optimization-based constrained modeling : a new transport paradigm [Conference]. https://www.osti.gov/biblio/990087 Publication ID: 17607
  • Bochev, P., Ridzal, D., & Ridzal, D. (2008). Finite element solution of optimal control problems arising in semiconductor modeling [Conference]. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70350281280&origin=inward Publication ID: 9817
  • Ridzal, D., Bochev, P., & Bochev, P. (2008). Scalable Solution Methods via Optimal Control Reformulations [Conference]. https://www.osti.gov/biblio/1143044 Publication ID: 14127
  • Ridzal, D. (2008). Rehabilitation of quadrilateral Raviart-Thomas elements [Conference]. https://www.osti.gov/biblio/1142913 Publication ID: 14092
  • Ridzal, D., Bochev, P., & Bochev, P. (2007). Intrepid [Presentation]. https://www.osti.gov/biblio/1720262 Publication ID: 11937
  • Ridzal, D. (2007). An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization [Presentation]. https://www.osti.gov/biblio/1720272 Publication ID: 11969
  • Ridzal, D. (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
  • Ridzal, D. (2007). Analysis and Control of Numerical Uncertainty in PDE-Constrained Optimization [Presentation]. https://www.osti.gov/biblio/1719031 Publication ID: 11743
  • Ridzal, D., Bochev, P., & Bochev, P. (2007). A Comparative Study of Galerkin and Mixed Galerkin Methods in Optimal Control Problems with Applications to Semiconductor Modeling [Conference]. https://www.osti.gov/biblio/1157542 Publication ID: 9319
  • Ridzal, D. (2005). Use of iterative linear solvers in a Lagrange-Newton SQP algorithm for large-scale nonlinear optimization [Conference]. https://www.osti.gov/biblio/969833 Publication ID: 5723
120 publications