An h-hierarchical Galerkin BEM using Haar wavelets

DOI10.1016/S0955-7997(01)00015-7zbMath1007.65102WikidataQ127909196 ScholiaQ127909196MaRDI QIDQ5951717

Kayoko Itami, Kazuhiro Koro, Kazuhisa Abe

Publication date: 20 March 2003

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

zbMATH Keywords

Galerkin methodnumerical examplesboundary element methoderror boundsLaplace equationsparse matrixHaar waveleth-hierarchical method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Analysis of dynamic stress concentration problems employing spline-based wavelet Galerkin method ⋮ A multiwavelet Galerkin boundary element method for the stationary Stokes problem in 3D ⋮ A Galerkin boundary element method based on interpolatory Hermite trigonometric wavelets ⋮ An improved r-adaptive Galerkin boundary element method based on unbalanced Haar wavelets

Cites Work

• Recent studies on adaptive boundary element methods
• A new residue and nodal error evaluation in \(h\)-adaptive boundary element method
• Adaptive hierarchical boundary elements
• Self-adaptive boundary elements with \(h\)-hierarchical shape functions
• A wavelet algorithm for the boundary element solution of a geodetic boundary value problem
• Fast wavelet transforms and numerical algorithms I
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• On solving first-kind integral equations using wavelets on a bounded interval
• h‐Hierarchical adaptive boundary element method using local reanalysis
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