Numerical Solution of a Surface Hypersingular Integral Equation by Piecewise Linear Approximation and Collocation Methods

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542519060125 ◽

2019 ◽

Vol 59 (6) ◽

pp. 942-957 ◽

Author(s):

A. V. Setukha ◽

A. V. Semenova

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Linear Approximation ◽

Piecewise Linear ◽

Collocation Methods ◽

Piecewise Linear Approximation ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Convergence of the piecewise linear approximation and collocation method for a hypersingular integral equation on a closed surface

Differential Equations ◽

10.1134/s0012266117090129 ◽

2017 ◽

Vol 53 (9) ◽

pp. 1231-1246 ◽

Author(s):

A. V. Setukha ◽

A. V. Semenova

Keyword(s):

Integral Equation ◽

Collocation Method ◽

Linear Approximation ◽

Piecewise Linear ◽

Closed Surface ◽

Piecewise Linear Approximation ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Numerical Solution of a Hypersingular Integral Equation on the Torus

Differential Equations ◽

10.1023/b:dieq.0000012699.92419.d2 ◽

2003 ◽

Vol 39 (9) ◽

pp. 1316-1331 ◽

Author(s):

I. K. Lifanov ◽

L. N. Poltavskii

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Solution of non linear Fredholm integral equation involving constant delay by BEM with piecewise linear approximation

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2020.1731965 ◽

2020 ◽

Vol 23 (2) ◽

pp. 537-544

Author(s):

Nimai Sarkar ◽

Mausumi Sen ◽

Dipankar Saha

Keyword(s):

Integral Equation ◽

Linear Approximation ◽

Fredholm Integral Equation ◽

Piecewise Linear ◽

Piecewise Linear Approximation ◽

Constant Delay ◽

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Numerical solution of the hypersingular integral equation for the inner Neumann problem

Computational Mathematics and Modeling ◽

10.1007/bf01130298 ◽

1994 ◽

Vol 5 (3) ◽

pp. 224-227

Author(s):

E. V. Zakharov ◽

L. A. Smorchkova

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Neumann Problem ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Numerical solution of three-dimensional crack problem by using hypersingular integral equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00374-1 ◽

2001 ◽

Vol 190 (31) ◽

pp. 4019-4026 ◽

Author(s):

Y.Z. Chen ◽

Kang Yong Lee

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Crack Problem ◽

Three Dimensional ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack

IMA Journal of Numerical Analysis ◽

10.1093/imanum/20.4.601 ◽

2000 ◽

Vol 20 (4) ◽

pp. 601-619 ◽

Author(s):

R. Chapko

Keyword(s):

Integral Equation ◽

Elastic Scattering ◽

Numerical Solution ◽

Hypersingular Integral Equation ◽

Hypersingular Integral ◽

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Convergence of a numerical method for solving a hypersingular integral equation on a segment with the use of piecewise linear approximations on a nonuniform grid

Differential Equations ◽

10.1134/s0012266117020094 ◽

2017 ◽

Vol 53 (2) ◽

pp. 234-247 ◽

Author(s):

A. V. Setukha

Keyword(s):

Integral Equation ◽

Numerical Method ◽

Piecewise Linear ◽

Hypersingular Integral Equation ◽

Nonuniform Grid ◽

Hypersingular Integral ◽

Linear Approximations ◽

Piecewise Linear Approximations

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On the numerical solution of a complete two-dimensional hypersingular integral equation by the method of discrete singularities

Differential Equations ◽

10.1134/s0012266113020092 ◽

2013 ◽

Vol 49 (2) ◽

pp. 224-234 ◽

Author(s):

S. G. Lebedeva ◽

A. V. Setukha

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Hypersingular Integral Equation ◽

Two Dimensional ◽

Hypersingular Integral

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Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function

Sbornik Mathematics ◽

10.1070/sm2002v193n10abeh000683 ◽

2002 ◽

Vol 193 (10) ◽

pp. 1397-1410 ◽

Author(s):

G M Vainikko ◽

N V Lebedeva ◽

I K Lifanov

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Delta Function ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Corrigendum to “On the numerical solution of a hypersingular integral equation in scattering theory” [J. Comput. Appl. Math. 61 (1995) 345–360]

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.09.021 ◽

2011 ◽

Vol 235 (9) ◽

pp. 3109 ◽

Author(s):

Rainer Kress

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Scattering Theory ◽

Hypersingular Integral Equation ◽

Hypersingular Integral ◽

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