TY - GEN
T1 - Mortar methods for single- and multi-field applications in computational mechanics
AU - Popp, Alexander
AU - Gee, Michael W.
AU - Wall, Wolfgang A.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/84896610749
U2 - 10.1007/978-3-642-32454-3_12
DO - 10.1007/978-3-642-32454-3_12
M3 - Conference contribution
AN - SCOPUS:84896610749
SN - 9783642324536
T3 - Sustained Simulation Performance 2012 - Proceedings of the Joint Workshop on High Performance Computing on Vector Systems, and Workshop on Sustained Simulation Performance
SP - 133
EP - 154
BT - Sustained Simulation Performance 2012 - Proceedings of the Joint Workshop on High Performance Computing on Vector Systems, and Workshop on Sustained Simulation Performance
PB - Springer Science and Business Media, LLC
T2 - Joint Workshop on High Performance Computing on Vector Systems and 15th Workshop on Sustained Simulation Performance 2012
Y2 - 1 March 2012 through 1 March 2012
ER -