Trefftz energy method for solving the Cauchy problem of the Laplace equation
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Publication:1996402
DOI10.1016/j.aml.2017.12.013zbMath1466.65168OpenAlexW2778748746MaRDI QIDQ1996402
Chein-Shan Liu, Fajie Wang, Yan Gu
Publication date: 4 March 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.12.013
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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Cites Work
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- A modified Tikhonov regularization method for the Cauchy problem of Laplace equation
- A new investigation into regularization techniques for the method of fundamental solutions
- Application of a direct Trefftz method with domain decomposition to 2D potential problems
- Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method
- A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length
- Trefftz, collocation, and other boundary methods—A comparison
- The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium
- Fourier regularization method for solving a Cauchy problem for the Laplace equation
- Trefftz method: An overview
