An improved r-adaptive Galerkin boundary element method based on unbalanced Haar wavelets
DOI10.1007/s11859-010-0689-4zbMath1240.65345OpenAlexW1987684748MaRDI QIDQ3017406
Yanchuang Cao, Tao Wang, Jinyou Xiao, Duo Zhang
Publication date: 19 July 2011
Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11859-010-0689-4
convergencenumerical resultsiteration methodsparse matrixboundary integral equationsGalerkin boundary element methodLaplace equationsunbalanced Haar wavelets
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)
Cites Work
- Non-uniform Haar wavelets
- A-posteriori compression of wavelet-BEM matrices
- Recent studies on adaptive boundary element methods
- A new class of unbalanced Haar wavelets that form an unconditional basis for \(L_ p\) on general measure spaces
- The lifting scheme: A custom-design construction of biorthogonal wavelets
- Grading Functions and Mesh Redistribution
- Grid optimization for the boundary element method
- The Lifting Scheme: A Construction of Second Generation Wavelets
- Wavelet Galerkin Algorithms for Boundary Integral Equations
- Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
- Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
- Error estimation and adaptive mesh refinement in boundary element method, an overview
- An h-hierarchical Galerkin BEM using Haar wavelets
This page was built for publication: An improved r-adaptive Galerkin boundary element method based on unbalanced Haar wavelets
