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Stability and Conve...
Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell's Equations in the Time Domain
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- Asadzadeh, Mohammad, 1952 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Beilina, Larisa, 1970 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2022-09-20
- 2022
- English.
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In: Algorithms. - : MDPI AG. - 1999-4893. ; 15:10
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Abstract
Subject headings
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- Stability and convergence analyses for the domain decomposition finite element/finite difference (FE/FD) method are presented. The analyses are developed for a semi-discrete finite element scheme for time-dependent Maxwell's equations. The explicit finite element schemes in different settings of the spatial domain are constructed and a domain decomposition algorithm is formulated. Several numerical examples validate convergence rates obtained in the theoretical studies.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- finite element method
- domain decomposition
- finite difference method
- stability analysis
- convergence analysis
- Maxwell's equations
- microwave dielectric-properties
- mixed finite-elements
- galerkin
- methods
- large-scale
- schemes
- Computer Science
- Maxwell’s equations
Publication and Content Type
- ref (subject category)
- art (subject category)
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