Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems

DOI10.1016/j.enganabound.2010.07.011zbMath1259.80028OpenAlexW2074610095MaRDI QIDQ1944481

Liviu Marin

Publication date: 25 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.07.011

zbMATH Keywords

inverse problemregularizationCauchy problemrelaxationsteady-state heat conductioniterative method of fundamental solutions (MFS)

Mathematics Subject Classification ID

Related Items (11)

Boundary particle method for Cauchy inhomogeneous potential problems ⋮ The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation ⋮ Numerical solution of the inverse Cauchy problem for the elliptic equation ⋮ Unique discrete harmonic continuation and data completion problems using the fading regularization method ⋮ Indirect boundary integral equation method for the Cauchy problem of the Laplace equation ⋮ The method of fundamental solutions for a time-dependent two-dimensional Cauchy heat conduction problem ⋮ Cauchy problems of Laplace's equation by the methods of fundamental solutions and particular solutions ⋮ A survey of applications of the MFS to inverse problems ⋮ Unnamed Item ⋮ On the Cauchy problem for the three-dimensional Laplace equation ⋮ On the use of an integral equation approach for the numerical solution of a Cauchy problem for Laplace equation in a doubly connected planar domain

Uses Software

• NAG
• Regularization tools
• SERBA
• UTV

Cites Work

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