Direct method of solution for general boundary value problem of the Laplace equation
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Publication:1870791
DOI10.1016/S0955-7997(02)00047-4zbMath1020.65079MaRDI QIDQ1870791
Publication date: 14 May 2003
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
inverse problemboundary element methodLaplace equationvariational methoddirect methodill-posed problemidentification of boundary values
Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
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Cites Work
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- An iterative boundary element method for Cauchy inverse problems
- Solution of the Cauchy problem using iterated Tikhonov regularization
- A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Stability and Regularization of a Discrete Approximation to the Cauchy Problem for Laplace's Equation
- An Inverse Problem in Elasticity With Partially Overprescribed Boundary Conditions, Part I: Theoretical Approach
- One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
- The Cauchy problem for Laplace's equation via the conjugate gradient method
- Linear integral equations
- Boundary element method for the Cauchy problem in linear elasticity.
