A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
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Publication:443330
DOI10.1016/j.enganabound.2007.12.002zbMath1244.65188OpenAlexW2066406618MaRDI QIDQ443330
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.2007.12.002
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
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Cites Work
- Unnamed Item
- The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation
- A numerical approach for the determination of a missing boundary data in elliptic problems.
- Direct method of solution for general boundary value problem of the Laplace equation
- Inverse Dirichlet problem and conformal mapping
- A stable recovery method for the Robin inverse problem
- A meshless method for some inverse problems associated with the Helmholtz equation
- Numerical solution of a Cauchy problem for the Laplace equation
- Crack detection using electrostatic measurements
- A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length
- On Cauchy's problem: I. A variational Steklov–Poincaré theory
- Trefftz, collocation, and other boundary methods—A comparison
- Analytic extensions and Cauchy-type inverse problems on annular domains: stability results
- An inverse Robin problem for Laplace's equation: theoretical results and numerical methods
- The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium
- A hybrid method for inverse boundary value problems in potential theory
- Identification of Robin coefficients by the means of boundary measurements
- A linear integral equation approach to the Robin inverse problem
- Trefftz method: An overview