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 ...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 amechanical-acoustic coupled aswell 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 Lagrangemultipliers within the framework ofMortar 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.展开更多
基金supported by the German Research Foundation(DFG)under grant WO 671/6-2the Austrian Science Foundation(FWF)under grant I 533-N20.We would like to thank the DFG and the FWF for their support.
文摘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 amechanical-acoustic coupled aswell 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 Lagrangemultipliers within the framework ofMortar 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.
