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

DOI10.17223/19988621/65/3zbMath1497.65248OpenAlexW3047336553MaRDI QIDQ5046282

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/vtgu775

zbMATH Keywords

stabilityDirichlet problemuniform convergenceboundary integral equationcollocationboundary elementnon-stationary heat conductiondouble-layer potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Theoretical approximation in context of PDEs (35A35) Integral operators (45P05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

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 stability of the boundary element collocation method applied to the linear heat equation
• A boundary element method for the solution of the transient diffusion equation in two dimensions
• Investigation on near-boundary solutions by singular boundary method
• 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
• Numerical investigation on three treatments for eliminating the singularities of acoustic fundamental solutions in the singular boundary method
• Moscow State Academy of Water Transport, Moscow, Russian Federation
• ON SOLVING PLANE PROBLEMS OF NON-STATIONARY HEAT CONDUCTION BY THE COLLOCATION BOUNDARY ELEMENT METHOD
• 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.
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