Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems

DOI10.1007/s10444-010-9147-2zbMath1207.65114OpenAlexW1968532092MaRDI QIDQ609553

Thorsten Raasch, Peter Maass, Thomas Bonesky, Stephan Dahlke

Publication date: 1 December 2010

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-010-9147-2

zbMATH Keywords

inverse problemregularizationparabolic equationsinverse heat conduction problemssparsityadaptive wavelet methodsadaptive numerical schemesill posed problemsiterated soft shrinkage

Mathematics Subject Classification ID

Related Items (2)

An inverse problem solution scheme for solving the optimization problem of drug-controlled release from multilaminated devices ⋮ Multilevel preconditioning and adaptive sparse solution of inverse problems

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable multiscale bases and local error estimation for elliptic problems
• Linear convergence of iterative soft-thresholding
• A generalized conditional gradient method and its connection to an iterative shrinkage method
• Wavelets with complementary boundary conditions -- functions spaces on the cube
• Adaptive multilevel solution of nonlinear parabolic PDE systems. Theory, algorithm, and applications
• Adaptive wavelet methods. II: Beyond the elliptic case
• The wavelet element method. II: Realization and additional features in 2D and 3D
• Solving Ordinary Differential Equations I
• A compressive Landweber iteration for solving ill-posed inverse problems
• Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints
• Biorthogonal bases of compactly supported wavelets
• Composite wavelet bases for operator equations
• Adaptive Solution of Operator Equations Using Wavelet Frames
• Adaptive wavelet methods for elliptic operator equations: Convergence rates
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• Electrical impedance tomography
• Linearly implicit time discretization of non-linear parabolic equations
• Wavelets on Manifolds I: Construction and Domain Decomposition
• Iterated soft shrinkage with adaptive operator evaluations
• Signal Recovery by Proximal Forward-Backward Splitting
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems