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Galerkin method for solving scalar problems of diffraction by a partially shielded inhomogeneous body
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektronik, matematik och naturvetenskap, Matematik.
Department of Mathematics and Supercomputing, Penza State University, Penza, Russian Federation.
2016 (Engelska)Ingår i: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016, 2016, s. 360-363, artikel-id 7731398Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

The scalar problem of diffraction by an inhomogeneous partially shielded body is considered. The boundary value problem leads to a system of integral equations on two- and three-dimensional manifolds with boundary. The equivalence of the integral and differential formulations of the problem is established; the Fredholm property and invertibility of the matrix operator are proved. Galerkin method for numerical solving of the integral equations is proposed. The approximation property for compactly supported basis functions as well as the convergence of Galerkin method in proper Sobolev spaces is proved. Numerical results are provided.

Ort, förlag, år, upplaga, sidor
2016. s. 360-363, artikel-id 7731398
Nyckelord [en]
Boundary value problems; Diffraction; Galerkin methods; Integral equations; Numerical methods; Sobolev spaces, Approximation properties; Basis functions; Compactly supported; Differential formulations; Inhomogeneous body; Numerical results; Scalar problems; System of integral equations, Problem solving
Nationell ämneskategori
Matematik
Identifikatorer
URN: urn:nbn:se:hig:diva-23295DOI: 10.1109/ICEAA.2016.7731398ISI: 000468496600018Scopus ID: 2-s2.0-85007361256OAI: oai:DiVA.org:hig-23295DiVA, id: diva2:1064288
Konferens
18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016, 19-23 September 2016, Cairns, Australia
Tillgänglig från: 2017-01-12 Skapad: 2017-01-12 Senast uppdaterad: 2019-08-28Bibliografiskt granskad

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Smolkin, Eugene

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