ON SOLVING PLANE PROBLEMS OF NON-STATIONARY HEAT CONDUCTION BY THE COLLOCATION BOUNDARY ELEMENT METHOD

DOI10.17223/19988621/50/2OpenAlexW2779432731MaRDI QIDQ5042875

D. Yu. Ivanov

Publication date: 26 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu615

zbMATH Keywords

stabilityboundary element methodboundary integral equationapproximationcollocationoperatorsingular boundary elementsnon-stationary heat conduction

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (5)

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 ⋮ A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF DOMAIN IN THE CASE OF TWO-DIMENSIONAL PROBLEMS OF NON-STATIONARY HEAT CONDUCTION WITH BOUNDARY CONDITIONS OF THE SECOND AND THIRD KIND. ⋮ ON THE JOINT APPLICATION OF THE COLLOCATION BOUNDARY ELEMENT METHOD AND THE FOURIER METHOD FOR SOLVING PROBLEMS OF HEAT CONDUCTION IN FINITE CYLINDERS WITH SMOOTH DIRECTRICES ⋮ On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain ⋮ Unnamed Item

Cites Work

• Solution of two-dimensional boundary value problems corresponding to initial-boundary value problems of diffusion on a right cylinder
• On the convergence of boundary element methods for initial-Neumann problems for the heat equation
• On the Spline Collocation Method for the Single-Layer Heat Operator Equation
• Moscow State Academy of Water Transport, Moscow, Russian Federation
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