Complex logarithms, Cauchy principal values, and the complex variable boundary element method

DOI10.1016/0307-904X(94)90303-4zbMath0811.65102OpenAlexW2013885814MaRDI QIDQ1337231

Robert J. Whitley, T. V. II Hromadka

Publication date: 7 May 1995

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0307-904x(94)90303-4

zbMATH Keywords

Laplace equationcomplex variable boundary element methodboundary integral of Cauchy typecomplex logarithm

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) 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)

Related Items (8)

Development and implementation of some BEM variants - A critical review ⋮ Theoretical developments in the complex variable boundary element method ⋮ The existence of approximate solutions for two-dimensional potential flow problems ⋮ CVBEM for a system of second-order elliptic partial differential equations ⋮ A general complex variable boundary element method ⋮ The existence of approximate solutions to mixed boundary value problems ⋮ Generalized complex variable boundary integral equation for stress fields and torsional rigidity in torsion problems ⋮ A complex variable boundary element method for a class of boundary value problems in anisotropic thermoelasticity

Cites Work

• Approximating three-dimensional steady-state potential flow problems using two-dimensional complex polynomials
• Error bounds for numerical solution of partial differential equations
• Approximating harmonic functions on Rⁿ with one function of a single complex variable
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