New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries
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Publication:4831406
DOI10.1080/00207160410001661348zbMath1058.65136OpenAlexW1964183339MaRDI QIDQ4831406
Publication date: 29 December 2004
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160410001661348
numerical examplesLaplace's equationdiagonal preconditioninggeometric singularitydouble layer equationwavelet discretisation
Numerical methods for wavelets (65T60) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- Unnamed Item
- Linear integral equations.
- A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries
- Fast wavelet transforms and numerical algorithms I
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- On a Class of Preconditioning Methods for Dense Linear Systems from Boundary Elements
- On A Recursive Schur Preconditioner For Iterative Solution Of A Class Of Dense Matrix Problems
- Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity
- Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
- A fast algorithm for particle simulations
- Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation
- Wavelet-based preconditioners for dense matrices with non-smooth local features