Finite Element Solution of Optimal Control Problems Arising in Semiconductor Modeling. - Pavel B. Bochev; Denis Ridzal (LSSC, 2007)

Rehabilitation of the Lowest-Order Raviart-Thomas Element on Quadrilateral Grids. - Pavel B. Bochev; Denis Ridzal (SIAM J. Numer. Anal., 2008)

Additive Operator Decomposition and Optimization-Based Reconnection with Applications. - Pavel B. Bochev; Denis Ridzal (LSSC, 2009)

An Optimization-Based Approach for the Design of PDE Solution Algorithms. - Pavel B. Bochev; Denis Ridzal (SIAM J. Numer. Anal., 2009)

Optimization-Based Modeling with Applications to Transport: Part 1. Abstract Formulation. - Pavel B. Bochev; Denis Ridzal; Joseph Young (LSSC, 2011)

Optimization-Based Modeling with Applications to Transport: Part 3. Computational Studies. - Denis Ridzal; Joseph Young; Pavel B. Bochev; Kara Peterson (LSSC, 2011)

Optimization-Based Modeling with Applications to Transport: Part 2. The Optimization Algorithm. - Joseph Young; Denis Ridzal; Pavel B. Bochev (LSSC, 2011)

Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. - Pavel B. Bochev; Denis Ridzal; Guglielmo Scovazzi; Mikhail J. Shashkov (J. Comput. Phys., 2011)

An Application of Random Projection to Parameter Estimation in Partial Differential Equations. - Joseph Young; Denis Ridzal (SIAM J. Sci. Comput., 2012)

Solving PDEs with Intrepid. - Pavel B. Bochev; H. Carter Edwards; Robert C. Kirby; Kara Peterson; Denis Ridzal (Sci. Program., 2012)

Optimization-Based Conservative Transport on the Cubed-Sphere Grid. - Kara Peterson; Pavel B. Bochev; Denis Ridzal (LSSC, 2013)

Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. - Pavel B. Bochev; Denis Ridzal; Mikhail J. Shashkov (J. Comput. Phys., 2013)

A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty. - Drew P. Kouri; Matthias Heinkenschloss; Denis Ridzal; Bart G. van Bloemen Waanders (SIAM J. Sci. Comput., 2013)

Optimization-based remap and transport: A divide and conquer strategy for feature-preserving discretizations. - Pavel B. Bochev; Denis Ridzal; Kara Peterson (J. Comput. Phys., 2014)

A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization. - Matthias Heinkenschloss; Denis Ridzal (SIAM J. Optim., 2014)

Inexact Objective Function Evaluations in a Trust-Region Algorithm for PDE-Constrained Optimization under Uncertainty. - Drew P. Kouri; Matthias Heinkenschloss; Denis Ridzal; Bart G. van Bloemen Waanders (SIAM J. Sci. Comput., 2014)

Optimization-based additive decomposition of weakly coercive problems with applications. - Pavel B. Bochev; Denis Ridzal (Comput. Math. Appl., 2016)

Optimization-based mesh correction with volume and convexity constraints. - Marta D'Elia; Denis Ridzal; Kara J. Peterson; Pavel B. Bochev; Mikhail J. Shashkov (J. Comput. Phys., 2016)

KKT Preconditioners for PDE-Constrained Optimization with the Helmholtz Equation. - Drew P. Kouri; Denis Ridzal; Ray Tuminaro (SIAM J. Sci. Comput., 2021)

ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints. - Harbir Antil; Drew P. Kouri; Denis Ridzal (SIAM J. Optim., 2023)

Optimization-based, property-preserving algorithm for passive tracer transport. - Kara Peterson; Pavel B. Bochev; Denis Ridzal (Comput. Math. Appl., 2024)

R-Adaptive Mesh Optimization to Enhance Finite Element Basis Compression. - Graham Harper; Denis Ridzal; Tim Wildey (CoRR, 2024)

Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale. - Matthias Mayr; Alexander Heinlein; Christian A. Glusa; Siva Rajamanickam; Maarten Arnst; Roscoe A. Bartlett; Luc Berger-Vergiat; Erik G. Boman; Karen D. Devine; Graham Harper; Michael A. Heroux; Mark Hoemmen; et al. (CoRR, 2025)