Two-dimensional multiple non-homogeneous harmonic equation and its boundary integral equations

DOI10.1016/j.amc.2006.09.031zbMath1122.65122OpenAlexW2079125766MaRDI QIDQ883891

Linhua Zhang, Yong Wu, Junyu Tan

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.031

zbMATH Keywords

convergencefundamental solutionboundary integral equationerror boundsmultiple harmonic equationTaylor's approximate of solution

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38)

Uses Software

• SERBA

Cites Work

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• New boundary element formulas for the biharmonic equation
• Scalar boundary integral equation formulas for the biharmonic equation -- numerical experiments
• On a Direct Method of Integral Equations for Solving the Biharmonic Dirichlet Problem
• An Indirect Boundary Integral Equation Method for the Biharmonic Equation
• Domain Decomposition Methods in Scientific and Engineering Computing
• Solution of elliptic partial differential equations by an optimization-based domain decomposition method
• New indirect scalar boundary integral equation formulas for the biharmonic equation

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