Volume 11, Issue 2
Non-matching Grids for a Flexible Discretization in Computational Acoustics

Bernd Flemisch ,  Manfred Kaltenbacher ,  Simon Triebenbacher and Barbara Wohlmuth

10.4208/cicp.141209.280810s

Commun. Comput. Phys., 11 (2012), pp. 472-488.

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  • Abstract

Flexible discretization techniques for the approximative solution of coupled wave propagation problems are investigated. In particular, the advantages of using non-matching grids are presented, when one subregion has to be resolved by a substantially finer grid than the other subregion. We present the non-matching grid technique for thecaseofamechanical-acousticcoupledaswell asforacoustic-acousticcoupled systems. For the first case, the problem formulation remains essentially the same as for the matching situation, while for the acoustic-acoustic coupling, the formulation is enhanced with Lagrange multipliers within the framework of Mortar Finite Element Methods. The applications will clearly demonstrate the superiority of the Mortar Finite Element Method over the standard Finite Element Method both concerning the flexibility for the mesh generation as well as the computational time. 

  • History

Published online: 2012-12

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