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.

DOI10.17223/19988621/57/1zbMath1497.80004OpenAlexW2921766112WikidataQ128200170 ScholiaQ128200170MaRDI QIDQ5046317

D. Yu. Ivanov

Publication date: 28 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/vtgu686

zbMATH Keywords

uniform convergenceboundary integral equationcollocationoperatornon-stationary heat conductionsingle-layer heat potentialsingular boundary element

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15)

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 ⋮ 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 ⋮ On one semi-analytical approximation of the normal derivative of the simple layer potential near the boundary of a two-dimensional domain

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