The mortar finite element method for contact problems

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Abstract

The purpose of this paper is to describe a domain decomposition technique: the mortar finite element method applied to contact problems between two elastic bodies. This approach allows the use of no-matching grids and to glue different discretizations across the contact zone in an optimal way, at least for bilateral contact. We present also an adaptation of this method to unilateral contact problems.

Keywords

Contact problems
Nonmatching meshes
Error estimation
Mortar finite element method

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