Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions

DOI10.1016/j.jcp.2011.06.015zbMath1252.65196OpenAlexW2145015665MaRDI QIDQ655070

Shidong Jiang, Paul Tsuji, Bo Ren, Lexing Ying

Publication date: 28 December 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.06.015

zbMATH Keywords

algorithmDirichlet problemnumerical examplesbiharmonic equationboundary integral equation methodsecond kind integral equationFredholm second kind integral equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Integral equation formulation of the biharmonic Dirichlet problem ⋮ An efficient computational method for solving fractional biharmonic equation ⋮ On an effective solution of the Riemann problem for third order improperly elliptic equations ⋮ On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains ⋮ An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation ⋮ Second kind integral equation formulation for the modified biharmonic equation and its applications ⋮ Application of the least squares method in axisymmetric biharmonic problems ⋮ A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains

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