On the finite element approximation for maxwell’s problem in polynomial domains of the plane

DOI10.1080/00036818108839349zbMath0454.65080OpenAlexW2005216291WikidataQ58286376 ScholiaQ58286376MaRDI QIDQ3902446

Jukka Saranen, Pekka Neittaanmäki

Publication date: 1981

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818108839349

zbMATH Keywords

finite element approximationasymptotic error estimatestime-harmonic Maxwell boundary value problem

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

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Mixed formulations for finite element analysis of magnetostatic and electrostatic problems ⋮ On different finite element methods for approximating the gradient of the solution to the Helmholtz equation

Cites Work

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• Maxwell's boundary value problem on Riemannian manifolds with nonsmooth boundaries
• A local compactness theorem for Maxwell's equations
• Über die approximation der lösungen der maxwellschen randwertaufgabe mit der methode der finiten elemente
• Error estimates for the finite element approximation to a maxwell-type boundary value problem