Non-Matching Grids for a Flexible Discretization in Computational Acoustics

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 sub- stantially finer grid than the other subregion. We present the non-matching grid tech- nique for the case of a mechanical-acoustic coupled as well as for acoustic-acoustic cou- pled 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 Fi- nite Element Method over the standard Finite Element Method both concerning the flexibility for the mesh generation as well as the computational time. AMS subject classifications: 65L60, 74S05

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