A wavelet algorithm for the boundary element solution of a geodetic boundary value problem

DOI10.1016/S0045-7825(97)00240-5zbMath0943.65137MaRDI QIDQ1971193

Andreas Rathsfeld

Publication date: 22 March 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

collocation methodnumerical testsboundary integral equationsingular integral equationLaplace's equationiterative solutionwavelet algorithmsgravity field of the earthsurface of the earth

Mathematics Subject Classification ID

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) Potentials, prospecting (86A20)

Related Items (9)

WAVELET NATURAL BOUNDARY ELEMENT METHOD FOR THE NEUMANN EXTERIOR PROBLEM OF STOKES EQUATIONS ⋮ Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator ⋮ A wavelet method for reducing the computational cost of BE-based homogenization analysis. ⋮ Comparison between wavelet and fast multipole data sparse approximations for Poisson and kinematics boundary-domain integral equations ⋮ Compatible wavelet-Galerkin method to solve stokes interior problem with circular boundary ⋮ B-spline wavelet boundary element method for three-dimensional problems ⋮ Non-orthogonal spline wavelets for boundary element analysis ⋮ An h-hierarchical Galerkin BEM using Haar wavelets ⋮ A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold

Cites Work

• Multilevel matrix multiplication and fast solution of integral equations
• Rapid solution of integral equations of classical potential theory
• On the fast matrix multiplication in the boundary element method by panel clustering
• A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero
• Multilevel preconditioning
• A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold
• Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence
• Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
• A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries
• Wavelet approximations for first kind boundary integral equations on polygons
• Fast wavelet transforms and numerical algorithms I
• Structure of Nuclear Matter
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• Fast Multiresolution Algorithms for Matrix-Vector Multiplication
• A fast algorithm for particle simulations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A wavelet algorithm for the boundary element solution of a geodetic boundary value problem