Adaptive Optimization of Convex Functionals in Banach Spaces

DOI10.1137/S0036142903429730zbMath1081.65053OpenAlexW2073631555MaRDI QIDQ5698732

Karsten Urban, Claudio Canuto

Publication date: 28 October 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142903429730

zbMATH Keywords

algorithmconvergencenumerical examplesadaptive methodsBanach spacewavelet basesnonlinear approximationconvex minimizationsteepest descent method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Programming in abstract spaces (90C48) Numerical methods for wavelets (65T60)

Related Items (10)

A fictitious domain decomposition method for a nonlinear bonded structure ⋮ On the existence of a progressive variational vademecum based on the proper generalized decomposition for a class of elliptic parameterized problems ⋮ Modified Tikhonov regularization for nonlinear ill-posed problems in Banach spaces ⋮ A relaxed Kačanov iteration for the \(p\)-Poisson problem ⋮ Numerical treatment of elliptic problems nonlinearly coupled through the interface ⋮ Relaxed Kačanov Scheme for the \(\boldsymbol{p}\)-Laplacian with Large Exponent ⋮ Preconditioned iterative regularization in Banach spaces ⋮ Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces ⋮ Minimization of Tikhonov functionals in Banach spaces ⋮ Accelerated projected gradient method for linear inverse problems with sparsity constraints

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