Non-orthogonal spline wavelets for boundary element analysis

Engineering Analysis with Boundary Elements

Volumn 25, Issue 3, 2001, Pages 149-164

  Koro, Kazuhiro ^a   Abe, Kazuhisa ^a  

^a NIIGATA UNIVERSITY   (Japan)

Author keywords

2 D Laplace problem; Fast solution; GMRES; Non orthogonal wavelet; Wavelet BEM

Indexed keywords

COMPUTATIONAL GEOMETRY; GALERKIN METHODS; ITERATIVE METHODS; LAPLACE TRANSFORMS; MATRIX ALGEBRA; WAVELET TRANSFORMS;

NON-ORTHOGONAL SPLINE WAVELETS; SPARSE COEFFICIENT MATRICES;

BOUNDARY ELEMENT METHOD;

EID: 0035274285     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(01)00036-4     Document Type: Article

References (19)

1. On the fast matrix multiplication in the boundary element method by panel clustering
2. Rapid solution of integral equations of classical potential theory
3. Fast wavelet transforms and numerical algorithms I
4. Wavelet-like bases for the fast solution of second-kind integral equations
5. Sparse approximation for solving integral equations with oscillatory kernels
6. A wavelet algorithm for the boundary element solution of a geodetic boundary value problem
7. Application of discrete wavelet transform to wavelet collocation BEM
8. On the use of wavelet expansions in the method of moments
9. Analysis of integrated millimeter-wave and submillimeter-wave waveguides using orthonormal wavelet expansions
10. A hybrid wavelet expansion and boundary element analysis of electromagnetic scattering from conducting objects
11. Application of wavelets on the interval to numerical analysis of integral equations in electromagnetic scattering problems
12. H-hierarchical adaptive BEM with Haar wavelet functions for two-dimensional Laplace problems
13. On solving first-kind integral equations using wavelets on a bounded interval
14. On compactly supported spline wavelets and a duality principle
15. Introduction to wavelets in engineering
16. Decomposition and reconstruction algorithms for spline wavelets on a bounded interval
17. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
18. Wavelet approximations for first kind boundary integral equations on polygons