Natural boundary integral method and related numerical methods

DOI10.1016/S0955-7997(03)00120-6zbMath1074.65143MaRDI QIDQ2486447

Longhua Zhao, De-Hao Yu

Publication date: 5 August 2005

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

zbMATH Keywords

numerical methodsboundary integral methodLaplace equationBoundary element methodDomain decompositionDirichlet-Neumann operatorSteklov-Poincaré operatorExterior problemArtificial boundary conditionNatural boundary reduction

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion ⋮ Analysis of piezoelectric plates with a hole using nature boundary integral equation and domain decomposition ⋮ A natural BEM with non-uniform grids on the elliptic boundary and its coupling method ⋮ Numerical solution of hypersingular equation using recursive wavelet on invariant set ⋮ Reprint of: ``Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion ⋮ Calculation of acoustic Green's functions using BEM and Dirichlet-to-Neumann-type boundary conditions

Cites Work

• Exact non-reflecting boundary conditions
• A finite element method for some integral equations of the first kind
• Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain
• Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM
• The generalized finite element method
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