FE-BE coupling for a transmission problem involving microstructure

Heiko Gimperlein, Matthias Maischak, Ernst P. Stephan

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)315-331
Number of pages17
JournalJournal of Applied and Numerical Optimization
Volume3
Issue number2
DOIs
Publication statusPublished - 31 Aug 2021

Keywords

  • Double–well potential
  • FE-BE coupling
  • Interface problem

ASJC Scopus subject areas

  • Computational Mathematics
  • Control and Optimization
  • Modelling and Simulation
  • Numerical Analysis

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