Sökning: onr:"swepub:oai:gup.ub.gu.se/123690" >
A linear nonconform...
A linear nonconforming finite element method for Maxwell's equations in two dimensions. Part I: Frequency domain
-
- Hansbo, Peter F G, 1959 (författare)
- Jönköping University,Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering
-
- Rylander, Thomas, 1972 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
-
(creator_code:org_t)
- Elsevier BV, 2010
- 2010
- Engelska.
-
Ingår i: Journal of Computational Physics. - : Elsevier BV. - 0021-9991 .- 1090-2716. ; 229:18, s. 6534-6547
- Relaterad länk:
-
http://dx.doi.org/10...
-
visa fler...
-
https://gup.ub.gu.se...
-
https://doi.org/10.1...
-
https://research.cha...
-
https://urn.kb.se/re...
-
visa färre...
Abstract
Ämnesord
Stäng
- We suggest a linear nonconforming triangular element for Maxwell’s equations and test it in the context of the vector Helmholtz equation. The element uses discontinuous normal fields and tangential fields with continuity at the midpoint of the element sides, an approximation related to the Crouzeix–Raviart element for Stokes. The element is stabilized using the jump of the tangential fields, giving us a free parameter to decide. We give dispersion relations for different stability parameters and give some numerical examples, where the results converge quadratically with the mesh size for problems with smooth boundaries. The proposed element is free from spurious solutions and, for cavity eigenvalue problems, the eigenfrequencies that correspond to well-resolved eigenmodes are reproduced with the correct multiplicity.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Annan elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Other Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Maxwell’s equations
- Stabilized methods
- Finite element
- Interior penalty method
- Nonconforming method
- Interior penalty method
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas