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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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 fle...
»