A Fast Solver for anH1Regularized PDE-Constrained Optimization Problem

DOI10.4208/cicp.190914.080415azbMath1373.49028OpenAlexW2281905410MaRDI QIDQ5372453

Tyrone Rees, Andrew T. Barker, Martin Stoll

Publication date: 27 October 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.190914.080415a

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Iterative numerical methods for linear systems (65F10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Discrete approximations in optimal control (49M25) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (6)

Learning physics-based models from data: perspectives from inverse problems and model reduction ⋮ PinT Preconditioner for Forward-Backward Evolutionary Equations ⋮ Superior properties of the PRESB preconditioner for operators on two-by-two block form with square blocks ⋮ A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems ⋮ Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction ⋮ Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems

Uses Software

• MA57
• revolve
• deal.ii
• ML
• HSL_MA97

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