Abstract
Mortar finite element methods are of great relevance as a non-conforming discretization technique in various single-field and multi-field applications. In computational contact analysis, the mortar approach allows for a variationally consistent treatment of non-penetration and frictional sliding constraints despite the inevitably non-matching interface meshes. Other single-field and multi-field problems, such as fluid–structure interaction (FSI), also benefit from the increased modeling flexibility provided by mortar methods. This contribution gives a review of the most important aspects of mortar finite element discretization and dual Lagrange multiplier interpolation for the aforementioned applications. The focus is on parallel efficiency, which is addressed by a new dynamic load balancing strategy and tailored parallel search algorithms for computational contact mechanics. For validation purposes, simulation examples from solid dynamics, contact dynamics and FSI will be discussed.
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The support of the first author (A.P.) by the TUM Graduate School is gratefully acknowledged.
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Popp, A., Gee, M.W., Wall, W.A. (2013). Mortar Methods for Single- and Multi-Field Applications in Computational Mechanics. In: Resch, M., Wang, X., Bez, W., Focht, E., Kobayashi, H. (eds) Sustained Simulation Performance 2012. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32454-3_12
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DOI: https://doi.org/10.1007/978-3-642-32454-3_12
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