Details
| Original language | English |
|---|---|
| Pages (from-to) | 307-332 |
| Number of pages | 26 |
| Journal | Numerische Mathematik |
| Volume | 117 |
| Issue number | 2 |
| Publication status | Published - 9 Oct 2010 |
Abstract
We analyze an adaptive finite element/boundary element procedure for scalar elastoplastic interface problems involving friction, where a nonlinear uniformly monotone operator such as the p-Laplacian is coupled to the linear Laplace equation on the exterior domain. The problem is reduced to a boundary/domain variational inequality, a discretized saddle point formulation of which is then solved using the Uzawa algorithm and adaptive mesh refinements based on a gradient recovery scheme. The Galerkin approximations are shown to converge to the unique solution of the variational problem in a suitable product of Lp- and L2-Sobolev spaces.
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Numerische Mathematik, Vol. 117, No. 2, 09.10.2010, p. 307-332.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Adaptive FE-BE coupling for strongly nonlinear transmission problems with Coulomb friction
AU - Gimperlein, Heiko
AU - Maischak, Matthias
AU - Schrohe, Elmar
AU - Stephan, Ernst P.
N1 - Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2010/10/9
Y1 - 2010/10/9
N2 - We analyze an adaptive finite element/boundary element procedure for scalar elastoplastic interface problems involving friction, where a nonlinear uniformly monotone operator such as the p-Laplacian is coupled to the linear Laplace equation on the exterior domain. The problem is reduced to a boundary/domain variational inequality, a discretized saddle point formulation of which is then solved using the Uzawa algorithm and adaptive mesh refinements based on a gradient recovery scheme. The Galerkin approximations are shown to converge to the unique solution of the variational problem in a suitable product of Lp- and L2-Sobolev spaces.
AB - We analyze an adaptive finite element/boundary element procedure for scalar elastoplastic interface problems involving friction, where a nonlinear uniformly monotone operator such as the p-Laplacian is coupled to the linear Laplace equation on the exterior domain. The problem is reduced to a boundary/domain variational inequality, a discretized saddle point formulation of which is then solved using the Uzawa algorithm and adaptive mesh refinements based on a gradient recovery scheme. The Galerkin approximations are shown to converge to the unique solution of the variational problem in a suitable product of Lp- and L2-Sobolev spaces.
UR - http://www.scopus.com/inward/record.url?scp=78651449516&partnerID=8YFLogxK
U2 - 10.1007/s00211-010-0337-0
DO - 10.1007/s00211-010-0337-0
M3 - Article
AN - SCOPUS:78651449516
VL - 117
SP - 307
EP - 332
JO - Numerische Mathematik
JF - Numerische Mathematik
SN - 0029-599X
IS - 2
ER -