Mortar Methods for Single- and Multi-Field Applications in Computational Mechanics

Alexander Popp (), Michael W. Gee () and Wolfgang A. Wall ()
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Alexander Popp: Technische Universität München, Institute for Computational Mechanics
Michael W. Gee: Technische Universität München, Mechanics and High Performance Computing Group
Wolfgang A. Wall: Technische Universität München, Institute for Computational Mechanics

A chapter in Sustained Simulation Performance 2012, 2013, pp 133-154 from Springer

Abstract: 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.

Keywords: Dynamic Load Balance; Lagrange Multiplier Vector; Mortar Method; Slave Side; Nonlinear Solid Mechanic (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-32454-3_12

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DOI: 10.1007/978-3-642-32454-3_12

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