An iterative MFS approach for the detection of immersed obstacles

DOI10.1016/j.enganabound.2007.10.011zbMath1244.76082OpenAlexW2030097360MaRDI QIDQ443280

Nuno F. M. Martins, Ana Leonor Silvestre

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.10.011

zbMATH Keywords

Stokes equationsmethod of fundamental solutionsnonlinear least squaresinverse boundary value problem

Mathematics Subject Classification ID

Related Items (14)

The direct method of fundamental solutions and the inverse Kirsch-Kress method for the reconstruction of elastic inclusions or cavities ⋮ Application of the method of fundamental solutions and the radial basis functions for viscous laminar flow in wavy channel ⋮ Localization of immersed obstacles from boundary measurements ⋮ A multilayer method of fundamental solutions for Stokes flow problems ⋮ Inverse shape and surface heat transfer coefficient identification ⋮ The MFS for numerical boundary identification in two-dimensional harmonic problems ⋮ Application of the MFS to inverse obstacle scattering problems ⋮ The ``exterior approach to solve the inverse obstacle problem for the Stokes system ⋮ Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions ⋮ Some new results for geometric inverse problems with the method of fundamental solutions ⋮ A survey of applications of the MFS to inverse problems ⋮ A moving pseudo‐boundary method of fundamental solutions for void detection ⋮ Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems ⋮ A well-conditioned method of fundamental solutions for Laplace equation

Cites Work

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• Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations
• The method of functional equations for the approximate solution of certain boundary value problems
• Identification of immersed obstacles via boundary measurements

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