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Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism
Moscow Technical University MIREA, Moscow, Russia.
Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russia.
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektronik, matematik och naturvetenskap, Matematik.ORCID-id: 0000-0002-2691-2820
2018 (engelsk)Inngår i: Differential equations, ISSN 0012-2661, E-ISSN 1608-3083, Vol. 54, nr 9, s. 1225-1235Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Theorems providing the convergence of approximate solutions of linear operator equations to the solution of the original equation are proved. The obtained theorems are used to rigorously mathematically justify the possibility of numerical solution of the 3D singular integral equations of electromagnetism by the Galerkin method and the collocation method.

sted, utgiver, år, opplag, sider
Springer Berlin/Heidelberg, 2018. Vol. 54, nr 9, s. 1225-1235
Emneord [en]
Linear operator equations, volume singular integral equations, iterations, dielectric bodies
HSV kategori
Identifikatorer
URN: urn:nbn:se:hig:diva-27910DOI: 10.1134/S0012266118090100ISI: 000448479100010Scopus ID: 2-s2.0-85054637275OAI: oai:DiVA.org:hig-27910DiVA, id: diva2:1248905
Merknad

Funding:

Ministry of Education and Science of the Russian Federation grant no: 2.1361.2017/4.6

Tilgjengelig fra: 2018-09-17 Laget: 2018-09-17 Sist oppdatert: 2022-09-15bibliografisk kontrollert

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Shestopalov, Yury

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