The pre/post equilibrated conditioning methods to solve Cauchy problems

DOI10.1016/j.enganabound.2013.11.017zbMath1297.65136OpenAlexW1971305843MaRDI QIDQ463628

Chein-Shan Liu

Publication date: 17 October 2014

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2013.11.017

zbMATH Keywords

biharmonic equationLaplace equationmethod of fundamental solutionsTrefftz methodinverse Cauchy problemequilibrated conditioningpre/post conjugate gradient method

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (8)

A maximal projection solution of ill-posed linear system in a column subspace, better than the least squares solution ⋮ A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems ⋮ A BIEM using the Trefftz test functions for solving the inverse Cauchy and source recovery problems ⋮ A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain ⋮ A homogenization boundary function method for determining inaccessible boundary of a rigid inclusion for the Poisson equation ⋮ A meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domain ⋮ A homogenization function technique to solve the 3D inverse Cauchy problem of elliptic type equations in a closed walled shell ⋮ A homogenization method to solve inverse Cauchy–Stefan problems for recovering non-smooth moving boundary, heat flux and initial value

Uses Software

• OCVdM

Cites Work

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