Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 673-680 |
| Seitenumfang | 8 |
| Fachzeitschrift | Computational mechanics |
| Jahrgang | 39 |
| Ausgabenummer | 5 |
| Frühes Online-Datum | 10 Aug. 2006 |
| Publikationsstatus | Veröffentlicht - Apr. 2007 |
Abstract
We present an hp-version of the finite element / boundary element coupling method to solve the eddy current problem for the time-harmonic Maxwell's equations. We use H(curl, Ω -conforming vector-valued polynomials to approximate the electric field in the conductor Ω and surface curls of continuous piecewise polynomials on the boundary Γ of Ω to approximate the twisted tangential trace of the magnetic field on Γ. We present both a priori and a posteriori error estimates together with a three-fold hp-adaptive algorithm to compute the fem/bem coupling solution with appropriate distributions of polynomial degrees on suitably refined meshes.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Numerische Mechanik
- Ingenieurwesen (insg.)
- Meerestechnik
- Ingenieurwesen (insg.)
- Maschinenbau
- Informatik (insg.)
- Theoretische Informatik und Mathematik
- Mathematik (insg.)
- Computational Mathematics
- Mathematik (insg.)
- Angewandte Mathematik
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in: Computational mechanics, Jahrgang 39, Nr. 5, 04.2007, S. 673-680.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - An hp-adaptive finite element/boundary element coupling method for electromagnetic problems
AU - Stephan, E. P.
AU - Maischak, M.
AU - Leydecker, F.
PY - 2007/4
Y1 - 2007/4
N2 - We present an hp-version of the finite element / boundary element coupling method to solve the eddy current problem for the time-harmonic Maxwell's equations. We use H(curl, Ω -conforming vector-valued polynomials to approximate the electric field in the conductor Ω and surface curls of continuous piecewise polynomials on the boundary Γ of Ω to approximate the twisted tangential trace of the magnetic field on Γ. We present both a priori and a posteriori error estimates together with a three-fold hp-adaptive algorithm to compute the fem/bem coupling solution with appropriate distributions of polynomial degrees on suitably refined meshes.
AB - We present an hp-version of the finite element / boundary element coupling method to solve the eddy current problem for the time-harmonic Maxwell's equations. We use H(curl, Ω -conforming vector-valued polynomials to approximate the electric field in the conductor Ω and surface curls of continuous piecewise polynomials on the boundary Γ of Ω to approximate the twisted tangential trace of the magnetic field on Γ. We present both a priori and a posteriori error estimates together with a three-fold hp-adaptive algorithm to compute the fem/bem coupling solution with appropriate distributions of polynomial degrees on suitably refined meshes.
KW - Adaptive algorithm
KW - Electromagnetic problems
KW - Fem/bem coupling
KW - Hp-version
KW - Residual error estimator
UR - http://www.scopus.com/inward/record.url?scp=33846676673&partnerID=8YFLogxK
U2 - 10.1007/s00466-006-0110-5
DO - 10.1007/s00466-006-0110-5
M3 - Article
AN - SCOPUS:33846676673
VL - 39
SP - 673
EP - 680
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 5
ER -