Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-50 |
| Number of pages | 50 |
| Journal | Journal of Integral Equations and Applications |
| Volume | 10 |
| Issue number | 1 |
| Publication status | Published - 1998 |
| Externally published | Yes |
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.
Keywords
- A posteriori error estimates, Boundary integral equations, Convergence of adaptive schemes, Galerkin schemes, Stable multiscale bases, Transmission problems
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Mathematics(all)
- Applied Mathematics
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In: Journal of Integral Equations and Applications, Vol. 10, No. 1, 1998, p. 1-50.
Research output: Contribution to journal › Article › Research › 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 -