Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1-50 |
| Seitenumfang | 50 |
| Fachzeitschrift | Journal of Integral Equations and Applications |
| Jahrgang | 10 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 1998 |
| Extern publiziert | Ja |
Abstract
The results presented here are directed to Galerkin schemes with respect to stable multiscale bases discretizations for boundary integral equations which describe transmission problems. We derive a posteriori estimates which are reliable and efficient with respect to any desirable tolerance. Moreover, the convergence of an adaptive scheme is investigated. The underlying ideas are applicable to a wide class of elliptic problems, cf. [14]. Here further details concerning decay estimates and appropriate index-sets for a system of boundary integral equations are presented.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Numerische Mathematik
- Mathematik (insg.)
- Angewandte Mathematik
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Journal of Integral Equations and Applications, Jahrgang 10, Nr. 1, 1998, S. 1-50.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A-posteriori estimates and adaptive schemes for transmission problems
AU - Hochmuth, Reinhard
PY - 1998
Y1 - 1998
N2 - The results presented here are directed to Galerkin schemes with respect to stable multiscale bases discretizations for boundary integral equations which describe transmission problems. We derive a posteriori estimates which are reliable and efficient with respect to any desirable tolerance. Moreover, the convergence of an adaptive scheme is investigated. The underlying ideas are applicable to a wide class of elliptic problems, cf. [14]. Here further details concerning decay estimates and appropriate index-sets for a system of boundary integral equations are presented.
AB - The results presented here are directed to Galerkin schemes with respect to stable multiscale bases discretizations for boundary integral equations which describe transmission problems. We derive a posteriori estimates which are reliable and efficient with respect to any desirable tolerance. Moreover, the convergence of an adaptive scheme is investigated. The underlying ideas are applicable to a wide class of elliptic problems, cf. [14]. Here further details concerning decay estimates and appropriate index-sets for a system of boundary integral equations are presented.
KW - A posteriori error estimates
KW - Boundary integral equations
KW - Convergence of adaptive schemes
KW - Galerkin schemes
KW - Stable multiscale bases
KW - Transmission problems
UR - http://www.scopus.com/inward/record.url?scp=69949083893&partnerID=8YFLogxK
U2 - 10.1216/jiea/1181074207
DO - 10.1216/jiea/1181074207
M3 - Article
AN - SCOPUS:69949083893
VL - 10
SP - 1
EP - 50
JO - Journal of Integral Equations and Applications
JF - Journal of Integral Equations and Applications
SN - 0897-3962
IS - 1
ER -