Full Text: PDF
Volume 3, Issue 2, 31 August 2021, Pages 315-331
Abstract. 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.
How to Cite this Article:
Heiko Gimperlein, Matthias Maischak, Ernst P. Stephan, FE-BE coupling for a transmission problem involving microstructure, J. Appl. Numer. Optim. 3 (2021), 315-331.