Numerical treatment of the Cauchy integral equation by discrete Fourier transform

DOI10.1002/cnm.1336zbMath1222.65146OpenAlexW2078338451MaRDI QIDQ3089038

P. A. Krutitskii, Konstantin Prozorov, Valentina Kolybasova, Gennadi Vainikko

Publication date: 23 August 2011

Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1336

zbMATH Keywords

numerical examplesmagnetic fielddiscrete Fourier transformLaplace equationsingular integral equationelectric currentCauchy integral equationsemiconductor filmthin electrode

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Technical applications of optics and electromagnetic theory (78A55) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38) Integral equations with kernels of Cauchy type (45E05)

Cites Work

• A problem related to the Hall effect in a semiconductor with an electrode of an arbitrary shape
• The skew derivative problem in the exterior of open curves in a plane
• Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of an open arc
• Unnamed Item