Numerical comparison of two boundary element methods for plane harmonic functions

DOI10.1007/BF02486859zbMath0799.65113MaRDI QIDQ4287202

Haichang Hu, Wenjun He, Hao-Jiang Ding

Publication date: 17 November 1994

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemnumerical examplesboundary element methodLaplace equationsingular integral equationsimple layer boundary potential operator

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) 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) Integral equations with kernels of Cauchy type (45E05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (1)

Equivalent boundary integral equations for plane elasticity

Cites Work

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• Numerical investigations of direct and indirect integral equations for solving the heat conduction problem
• Necessary and sufficient boundary integral equations for plane harmonic functions
• Direct and indirect boundary element methods for solving the heat conduction problem
• On two methods for elimination of non-unique solutions of an integral equation with logarithmic kernel/^†
• Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems
• Integral equation methods in potential theory. I
• Integral equation methods in potential theory. II

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