Time domain boundary elements for dynamic contact problems

Heiko Gimperlein, Fabian Meyer, Ceyhun Özdemir, Ernst P. Stephan

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)
137 Downloads (Pure)


This article considers a unilateral contact problem for the wave equation. The problem is reduced to a variational inequality for the Dirichlet-to-Neumann operator for the wave equation on the boundary, which is solved in a saddle point formulation using boundary elements in the time domain. As a model problem, also a variational inequality for the single layer operator is considered. A priori estimates are obtained for Galerkin approximations both to the variational inequality and the mixed formulation in the case of a flat contact area, where the existence of solutions to the continuous problem is known. Numerical experiments demonstrate the performance of the proposed mixed method. They indicate the stability and convergence beyond flat geometries.
Original languageEnglish
Pages (from-to)147-175
Number of pages29
JournalComputer Methods in Applied Mechanics and Engineering
Early online date31 Jan 2018
Publication statusPublished - 1 May 2018


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