On the stability of the boundary element collocation method applied to the linear heat equation

DOI10.1016/0377-0427(91)90171-FzbMath0744.65067OpenAlexW1979059309MaRDI QIDQ1184123

Yuusuke Iso, Kazuei Onishi

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0377-0427(91)90171-f

zbMATH Keywords

Dirichlet problemfinite elementill-posed problemlinear heat equationVolterra integral equation of the first kindboundary element collocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Volterra integral equations (45D05)

Related Items (3)

A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF A TWO-DIMENSIONAL DOMAIN USING SEMIANALYTIC APPROXIMATION OF THE DOUBLE LAYER HEAT POTENTIAL ⋮ Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations ⋮ A semi-analytical approach to Green's functions for heat equation in regions of irregular shape

Cites Work

• Boundary integral operators for the heat equation
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