Numerical solution of boundary integral equations on curvilinear polygons

DOI10.3103/S0027132214040068zbMath1311.65154MaRDI QIDQ2018040

I. O. Arushanyan

Publication date: 24 March 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

convergenceDirichlet problemboundary integral equationLaplace equationcurvilinear polygon

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

Numerical solution of boundary integral equations of the plane theory of elasticity in curvilinear polygons

Cites Work

• Unnamed Item
• A Nyström method for boundary integral equations in domains with corners
• Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
• The asymptotic form of solutions of integral equations of potential theory in the neighbourhood of the corner points of a contour
• Linear integral equations.
• Efficient discretization of Laplace boundary integral equations on polygonal domains
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations

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