Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM

DOI10.1016/S0168-9274(00)00030-1zbMath0978.65101MaRDI QIDQ5932820

De-Hao Yu, Qiya Hu

Publication date: 7 February 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical resultserror estimatesexterior domainLaplace equationcomposite gridfast adaptive composite grid methoditeration algorithmnatural boundary reductionsteepest descent algorithm

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

TheC¹wavelet method for numerical solutions of the Neumann problem ⋮ A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell's equations in unbounded domains ⋮ A-\(\phi\) finite element method with composite grids for time-dependent eddy current problem ⋮ A (T,ψ)‐ψ_e decoupled scheme for a time‐dependent multiply‐connected eddy current problem ⋮ Natural boundary integral method and related numerical methods

Cites Work

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• The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations
• Iterative Methods by Space Decomposition and Subspace Correction
• An Optimal Iterative Process for the Johnson--Nedelec Method of Coupling Boundary and Finite Elements
• Optimal Order Multigrid Methods for Solving Exterior Boundary Value Problems
• Convergence rates for the coupling of FEM and collocation BEM

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