Solving massive-scale inverse problems using matrix-fre dequential quadratic programming (SQP) methods
Abstract not provided.
Publications
Application of Second-Order Optimization Algorithms toInverse Problems in Nonlinear Elastostatics andCoupled Fluid Structure Interaction
Abstract not provided.
A matrix-free trust-region SQP method for equality constrained optimization
SIAM Journal on Optimization
Abstract not provided.
Scalable Algorithms for Large-Scale Inversion and Design
Abstract not provided.
Inverse Structural Acoustic Source and Material Identification in a Massively Parallel Finite Element Framework
Abstract not provided.
Discretization Capability Area
Abstract not provided.
Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework
Abstract not provided.
Finite Element Global Unknown Numbering for Fully-Coupled "Beyond-Nodal" Discretizations
Abstract not provided.
Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework
Abstract not provided.
A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty
Proposed for publication in SIAM Journal on Scientific Computing (SISC).
Abstract not provided.
Optimization-Based Transport on the Sphere
Abstract not provided.
Software Abstractions for Matrix-Free PDE Optimization with Cone Constraints
Abstract not provided.
Optimization-Based Remap and Transport: Part 1 A Divide and Conquer Strategy for Feature-Preserving Discretizations
Abstract not provided.
Optimization-Based Remap and Transport: Part 2. A Divide and Conquer Strategy for Feature-Preserving Discretizations
Abstract not provided.
Optimization-based remap and transport: a divide and conquer strategy for feature-preserving discretizations
Proposed for publication in Journal of Computational Physics.
Abstract not provided.
Inverse Acoustic Source Identification in a Massively Parallel Finite Element Framework
Abstract not provided.
Fast optimization-based conservative remap of scalar fields through aggregate mass transfer
Proposed for publication in Journal of Computational Physics.
Abstract not provided.
A Matrix-Free Trust-Region SQP Algorithm for Large-Scale Optimization
Abstract not provided.
Preconditioning of Matrix-Free Full-Space Trust-Region SQP Algorithms for Nonlinear PDE Optimization
Abstract not provided.
Solving Large-Scale Inverse Problems in Elasticity Using Sequential Quadratic Programming (SQP)
Abstract not provided.
Efficient Handling of Inequality Constraints in a Matrix-Free Trust-Region SQP Algorithm
Abstract not provided.
Numerical study of a matrix-free trust-region SQP method for equality constrained optimization
This is a companion publication to the paper 'A Matrix-Free Trust-Region SQP Algorithm for Equality Constrained Optimization' [11]. In [11], we develop and analyze a trust-region sequential quadratic programming (SQP) method that supports the matrix-free (iterative, in-exact) solution of linear systems. In this report, we document the numerical behavior of the algorithm applied to a variety of equality constrained optimization problems, with constraints given by partial differential equations (PDEs).
A toolbox for a class of discontinuous Petrov-Galerkin methods using trilinos
The class of discontinuous Petrov-Galerkin finite element methods (DPG) proposed by L. Demkowicz and J. Gopalakrishnan guarantees the optimality of the solution in an energy norm and produces a symmetric positive definite stiffness matrix, among other desirable properties. In this paper, we describe a toolbox, implemented atop Sandia's Trilinos library, for rapid development of solvers for DPG methods. We use this toolbox to develop solvers for the Poisson and Stokes problems.
A Sequential Quadratic Programming (SQP) Algorithm and the Modied Error in Constitutive Equation (MECE) Principle for Parameter Estimation
Abstract not provided.
Optimization-Based Modeling: Part 3 - Monotone Methods for Transport without Limiters
Abstract not provided.
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