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Adaptive Hybrid Finite Element/Difference Method for Maxwell’s Equations

Beilina, Larisa and Grote, Marcus. (2010) Adaptive Hybrid Finite Element/Difference Method for Maxwell’s Equations. Preprints Fachbereich Mathematik, 2010 (05).

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Official URL: https://edoc.unibas.ch/70050/

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Abstract

An explicit, adaptive, hybrid finite element/finite difference method is proposed for the numerical solution of Maxwell's equations in the time domain. The method is hybrid in the sense that different numerical methods, finite elements and finite differences, are used in different parts of the computational domain. Thus, we combine the flexibility of finite elements with the efficiency of finite differences. Furthermore, an a posteriori error estimate is derived for local adaptivity and error control inside the subregion, where finite elements are used. Numerical experiments illustrate the usefulness of computational adaptive error control of proposed new method.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Numerik (Grote)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Grote, Marcus J.
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:13 May 2019 19:44
Deposited On:28 Mar 2019 09:52

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