Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 315-331 |
| Seitenumfang | 17 |
| Fachzeitschrift | Journal of Applied and Numerical Optimization |
| Jahrgang | 3 |
| Ausgabenummer | 2 |
| Frühes Online-Datum | 23 Feb. 2010 |
| Publikationsstatus | Veröffentlicht - 31 Aug. 2021 |
Abstract
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Computational Mathematics
- Mathematik (insg.)
- Steuerung und Optimierung
- Mathematik (insg.)
- Numerische Mathematik
- Mathematik (insg.)
- Modellierung und Simulation
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in: Journal of Applied and Numerical Optimization, Jahrgang 3, Nr. 2, 31.08.2021, S. 315-331.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - FE-BE coupling for a transmission problem involving microstructure
AU - Gimperlein, Heiko
AU - Maischak, Matthias
AU - Schrohe, Elmar
AU - Stephan, Ernst P.
PY - 2021/8/31
Y1 - 2021/8/31
N2 - We analyze a finite element/boundary element procedure for a non-convex contact problem for the double–well potential. After relaxing the associated functional, the degenerate minimization problem is reduced to a boundary/domain variational inequality, a discretized saddle point formulation of which may then be solved numerically. The convergence of the Galerkin approximations to certain macroscopic quantities and a corresponding a posteriori estimate for the approximation error are discussed. Numerical results illustrate the performance of the proposed method.
AB - We analyze a finite element/boundary element procedure for a non-convex contact problem for the double–well potential. After relaxing the associated functional, the degenerate minimization problem is reduced to a boundary/domain variational inequality, a discretized saddle point formulation of which may then be solved numerically. The convergence of the Galerkin approximations to certain macroscopic quantities and a corresponding a posteriori estimate for the approximation error are discussed. Numerical results illustrate the performance of the proposed method.
KW - math.NA
KW - math.AP
KW - 65N38, 49M20
KW - Interface problem
KW - FE-BE coupling
KW - Double–well potential
UR - http://www.scopus.com/inward/record.url?scp=85105817722&partnerID=8YFLogxK
U2 - 10.23952/jano.3.2021.2.06
DO - 10.23952/jano.3.2021.2.06
M3 - Article
VL - 3
SP - 315
EP - 331
JO - Journal of Applied and Numerical Optimization
JF - Journal of Applied and Numerical Optimization
SN - 2562-5527
IS - 2
ER -