A domain decomposition method for biharmonic equation

DOI10.1016/S0898-1221(00)00202-9zbMath0963.65119MaRDI QIDQ1591913

A. Avudainayagam, C. Vani

Publication date: 14 January 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

discrete wavelet transformnumerical examplesboundary integral equationbiharmonic equationLaplace equationdomain decomposition method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for higher-order elliptic equations (35J40) 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) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (5)

Sinc-Galerkin method for solving biharmonic problems ⋮ Isogeometric Schwarz preconditioners for the biharmonic problem ⋮ A Schwarz alternating algorithm for a three-dimensional exterior harmonic problem with prolate spheroid boundary ⋮ Towards efficient interface conditions for a Schwarz domain decomposition algorithm for an advection equation with biharmonic diffusion ⋮ An effective Chebyshev tau meshless domain decomposition method based on the integration-differentiation for solving fourth order equations

Cites Work

• Fast wavelet transforms and numerical algorithms I
• Orthonormal bases of compactly supported wavelets
• On Direct Methods for Solving Poisson’s Equations
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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