A fast numerical method for harmonic equation based on natural boundary integral

DOI10.1080/00036810802140640zbMath1153.65117OpenAlexW1994065518WikidataQ58267562 ScholiaQ58267562MaRDI QIDQ3532642

Song-Hua Li

Publication date: 28 October 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802140640

zbMATH Keywords

error estimatesfinite element methodnumerical examplesfast Fourier transformLaplace equationexponential convergenceNeumann problemmatrix decompositionharmonic equationtrigonometric waveletsnatural boundary integral methodexterior elliptic domain

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

• A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel
• On the Finite Element Method for Unbounded Regions
• Fast Collocation Methods for Second Kind Integral Equations
• Trigonometric wavelets for Hermite interpolation
• Discrete wavelet Petrov--Galerkin methods

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