An adaptive wavelet solver for a nonlinear parameter identification problem for a parabolic differential equation with sparsity constraints

DOI10.1515/jip-2012-0013zbMath1279.46055OpenAlexW2321398283WikidataQ115236075 ScholiaQ115236075MaRDI QIDQ5745498

Rudolf A. Ressel, Stephan Dahlke, Ulrich Friedrich, Peter Maass, Thorsten Raasch

Publication date: 30 January 2014

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jip-2012-0013

zbMATH Keywords

parabolic partial differential equationssparsityadaptive numerical schemesiterated soft shrinkageembryogenesisregularization of ill-posed problemstensor wavelets

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Linear operators and ill-posed problems, regularization (47A52) Numerical methods in optimal control (49M99)

Related Items (1)

Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates

This page was built for publication: An adaptive wavelet solver for a nonlinear parameter identification problem for a parabolic differential equation with sparsity constraints