An Indirect Boundary Integral Equation Method for the Biharmonic Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1994 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 31, pages 461-476 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Jeon, Youngmok;

doi: 10.1137/0731025

An Indirect Boundary Integral Equation Method for the Biharmonic Equation

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Abstract

An indirect boundary integral equation method for solving the Dirichlet problem for the biharmonic equation is proposed. For the numerical solution, a discrete Galerkin method is used and a complete numerical analysis in a suitable Sobolev space is given.

Keywords

Boundary value problems for higher-order elliptic equations, biharmonic equation, discrete Galerkin method, indirect boundary integral equation method, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, Boundary element methods for boundary value problems involving PDEs, Dirichlet problem

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