An approximate method for determining the harmonic barycentric coordinates for arbitrary polygons

DOI10.1134/S0965542519030096zbMath1430.45006OpenAlexW2947885885WikidataQ127793005 ScholiaQ127793005MaRDI QIDQ2314217

A. S. Il'inskii, I. S. Polyanskii

Publication date: 19 July 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519030096

zbMATH Keywords

Laplace equationLegendre polynomialsFredholm equationarbitrary polygonharmonic barycentric coordinateslogarithmic potential of double layer

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Theoretical approximation of solutions to integral equations (45L05)

Related Items (2)

Barycentric method for boundary value problems of mathematical physics ⋮ Approximate method for solving the problem of conformal mapping of an arbitrary polygon to a unit circle

Cites Work

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• Convergence in the integral metric of the general projective method for solving singular integral equations of the first kind with the Cauchy kernel
• A rational finite element basis
• On the numerical solution of boundary integral equations of the second kind in domains with corner points.
• MODIFIED METHOD OF SUCCESSIVE CONFORMAL MAPPINGS OF POLYGONAL DOMAINS
• Methods of conformal mappings of polyhedra in R^3

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