Numerical linear algebra for reconstruction inverse problems.

DOI10.1016/j.cam.2003.08.009zbMath1037.65113OpenAlexW2038564225MaRDI QIDQ1421222

Abdeljalil Nachaoui

Publication date: 26 January 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.009

zbMATH Keywords

numerical examplesinverse problemspreconditioningboundary integral equationBoundary element methodPoisson equationKrylov subspace iterative methodsLU decompositionReconstruction problem

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (9)

New approach to the iterative method for numerical solution of a convolution type equation determined for a certain class of problems ⋮ A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems ⋮ Reconstruction of boundary data for a class of nonlinear inverse problems ⋮ Convergence study and regularizing property of a modified Robin–Robin method for the Cauchy problem in linear elasticity ⋮ Mathematical analysis and simulation of fixed point formulation of Cauchy problem in linear elasticity ⋮ Numerical method for solving a class of nonlinear elliptic inverse problems. ⋮ On a fixed point study of an inverse problem governed by Stokes equation ⋮ Artificial neural network approximations of Cauchy inverse problem for linear PDEs ⋮ An iterative approach to the solution of an inverse problem in linear elasticity

Uses Software

• CGS

Cites Work

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