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

Bernd Flemisch, Manfred Kaltenbacher, Simon Triebenbacher & Barbara Wohlmuth

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

Published online: 2012-12

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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 the case of a mechanical-acoustic coupled as well as for acoustic-acoustic coupled 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.

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@Article{CiCP-11-472, author = {}, title = {Non-Matching Grids for a Flexible Discretization in Computational Acoustics}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {472--488}, 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 the case of a mechanical-acoustic coupled as well as for acoustic-acoustic coupled 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.141209.280810s}, url = {http://global-sci.org/intro/article_detail/cicp/7373.html} }
TY - JOUR T1 - Non-Matching Grids for a Flexible Discretization in Computational Acoustics JO - Communications in Computational Physics VL - 2 SP - 472 EP - 488 PY - 2012 DA - 2012/12 SN - 11 DO - http://dor.org/10.4208/cicp.141209.280810s UR - https://global-sci.org/intro/article_detail/cicp/7373.html KW - AB -

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 the case of a mechanical-acoustic coupled as well as for acoustic-acoustic coupled 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.

Bernd Flemisch, Manfred Kaltenbacher, Simon Triebenbacher & Barbara Wohlmuth. (2020). Non-Matching Grids for a Flexible Discretization in Computational Acoustics. Communications in Computational Physics. 11 (2). 472-488. doi:10.4208/cicp.141209.280810s
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