Overlapping domain decomposition methods for linear inverse problems

DOI10.3934/ipi.2015.9.163zbMath1307.65157arXiv1309.1809OpenAlexW2962815509MaRDI QIDQ2254763

Hui Feng, Daijun Jiang, Jun Zou

Publication date: 6 February 2015

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1809

zbMATH Keywords

domain decompositioninverse problemsparameter identificationexplicit subdomain solver

Mathematics Subject Classification ID

Convex programming (90C25) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (8)

An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems ⋮ Domain decomposition methods for recovering Robin coefficients in elliptic and parabolic systems ⋮ An approximation scheme for the Kantorovich-Rubinstein problem on compact spaces ⋮ Inverse source problem for the hyperbolic equation with a time-dependent principal part ⋮ Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction ⋮ Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation ⋮ Overlapping Domain Decomposition Methods for Ptychographic Imaging

Cites Work

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• Estimation techniques for distributed parameter systems
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• Neumann--Neumann Domain Decomposition Preconditioners for Linear-Quadratic Elliptic Optimal Control Problems
• Iterative Methods by Space Decomposition and Subspace Correction
• Some Nonoverlapping Domain Decomposition Methods
• Identification of Discontinuous Coefficients in Elliptic Problems Using Total Variation Regularization
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• A multilevel model correction method for parameter identification
• Numerical Reconstruction of Heat Fluxes
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