On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain

DOI10.35634/VM220103OpenAlexW4223517883WikidataQ114024793 ScholiaQ114024793MaRDI QIDQ5086580

D. Yu. Ivanov

Publication date: 6 July 2022

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu797

zbMATH Keywords

uniform convergenceboundary element methodquadrature formuladouble layer potentialnear singular integralboundary layer effect

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

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

Cites Work

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• An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
• A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM
• Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curves
• Stress analysis for multilayered coating systems using semi-analytical BEM with geometric non-linearities
• Calculation of 2D nearly singular integrals over high-order geometry elements using the sinh transformation
• A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM
• Element-subdivision method for evaluation of singular integrals over narrow strip boundary elements of super thin and slender structures
• Evaluation of nearly singular integrals in isogeometric boundary element method
• Perturbation theory for linear operators.
• Boundary element analysis of 2D thin walled structures with high-order geometry elements using transformation
• New variable transformations for evaluating nearly singular integrals in 2D boundary element method
• Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
• Quadrature formula for the harmonic double layer potential
• Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures
• A systematic derived sinh based method for singular and nearly singular boundary integrals
• Quadrature formula for the simple layer potential
• The distance sinh transformation for the numerical evaluation of nearly singular integrals over curved surface elements
• Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method
• The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements
• 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 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.

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