FE-BE coupling for a transmission problem involving microstructure
Numerical Analysis
2010-09-16 v1 Analysis of PDEs
Abstract
We analyze a finite element/boundary element procedure to solve 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.
Cite
@article{arxiv.1002.4385,
title = {FE-BE coupling for a transmission problem involving microstructure},
author = {Heiko Gimperlein and Matthias Maischak and Elmar Schrohe and Ernst P. Stephan},
journal= {arXiv preprint arXiv:1002.4385},
year = {2010}
}
Comments
12 pages