A compression technique for the boundary integral equation reduced from Helmholtz equation

DOI10.1080/00207160.2012.725844zbMath1408.65097OpenAlexW2070675136MaRDI QIDQ2852115

Jun Xian, Wei Lin, Song-Hua Li

Publication date: 8 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.725844

zbMATH Keywords

boundary integral equationHelmholtz equationmatrix compressionmultiscale Galerkin methodtrigonometric wavelets

Mathematics Subject Classification ID

Cites Work

• A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel
• A fast collocation method for acoustic scattering in shallow oceans
• The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
• A geometric optics method for high-frequency electromagnetic fields computations near fold caustics. II: The energy
• A fast numerical method for a natural boundary integral equation for the Helmholtz equation
• Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
• Über eine Methode zum räumlichen Neumannschen Problem mit einer Anwendung für torusartige Berandungen
• Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel
• Mixed discontinuous Legendre wavelet Galerkin method for solving elliptic partial differential equations
• Fast multilevel augmentation method for nonlinear integral equations
• Fast wavelet transforms and numerical algorithms I
• A three-step wavelet Galerkin method for parabolic and hyperbolic partial differential equations
• Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction: I
• Fast Collocation Methods for Second Kind Integral Equations
• A fast trigonometric wavelets method for the biharmonic equation
• Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
• A Wavenumber Independent Boundary Element Method for an Acoustic Scattering Problem
• An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems
• A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization

This page was built for publication: A compression technique for the boundary integral equation reduced from Helmholtz equation