Adaptive wavelet schemes for an elliptic control problem with Dirichlet boundary control

DOI10.1007/s11075-004-3630-0zbMath1069.65069OpenAlexW2013036569MaRDI QIDQ1776180

Angela Kunoth

Publication date: 20 May 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-004-3630-0

zbMATH Keywords

waveletsalgorithmoptimal controlconvergencepreconditioningelliptic boundary value problemsaddle point problemDirichlet boundary controladaptive refinementinexact gradient methodinexact iterationoptimal complexityadaptive iterative Uzawa algorithm

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods for wavelets (65T60) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (6)

Sparse Adaptive Tensor Galerkin Approximations of Stochastic PDE-Constrained Control Problems ⋮ Coupled Galerkin and parameterization methods for optimal control of discretely connected parallel beams ⋮ Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space ⋮ Fast iterative solution of elliptic control problems in wavelet discretization ⋮ Preparation of CAD and Molecular Surfaces for Meshfree Solvers ⋮ Adaptive finite element discretization in PDE-based optimization

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