Efficient representations of Green’s functions for some elliptic equations with piecewise-constant coefficients

• Autorzy: Yuri Melnikov
• Języki publikacji: EN

Abstrakty

EN

Convenient for immediate computer implementation equivalents of Green’s functions are obtained for boundary-contact value problems posed for two-dimensional Laplace and Klein-Gordon equations on some regions filled in with piecewise homogeneous isotropic conductive materials. Dirichlet, Neumann and Robin conditions are allowed on the outer boundary of a simply-connected region, while conditions of ideal contact are assumed on interface lines. The objective in this study is to widen the range of effective applicability for the Green’s function version of the boundary integral equation method making the latter usable for equations with piecewise-constant coefficients.

Słowa kluczowe

EN

Green’s function; Elliptic equations; Piecewise-constant coefficients

Kategorie tematyczne

• 65B10: Summation of series
• 35J25: Boundary value problems for second-order elliptic equations
• 65N38: Boundary element methods
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 1
• Strony: 53-72

Daty

wydano

2010-02-01

online

2010-02-02

Twórcy

autor

Yuri Melnikov

• Middle Tennessee State University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0069-5