Readily computable Green’s and Neumann functions for symmetry-preserving triangles

DOI10.1090/S0033-569X-09-01157-XzbMath1176.35050OpenAlexW2077702526MaRDI QIDQ3393904

D. K. Babu, Randy D. Hazlett

Publication date: 27 August 2009

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2009-67-03/S0033-569X-09-01157-X/home.html

zbMATH Keywords

boundary integral methodright trianglesemi-analytical solutionsanalytic line integrals

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Analyticity in context of PDEs (35A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (2)

Parametric representation of cell boundary flux distribution in well equations ⋮ Flux Characterization in Heterogeneous Transport Problems by the Boundary Integral Method

Cites Work

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• Fast potential theory. II: Layer potentials and discrete sums
• The Green function for potential flow in a rectangular channel
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• A Green function for the equilateral triangle
• Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle
• Highly accurate approximations of Green's and Neumann functions on rectangular domains
• A rapidly convergent modified Green' function for Laplace' equation in a rectangular region
• Rapidly convergent representations for Green' functions for Laplace' equation

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