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1 results

  • Non-Matching Grids for a Flexible Discretization in Computational Acoustics

  • Bernd Flemisch, Manfred Kaltenbacher, Simon Triebenbacher, Barbara Wohlmuth
  • Journal:
    Communications in Computational Physics / Volume 11 / Issue 2 / February 2012
    Published online by Cambridge University Press:
    20 August 2015, pp. 472-488
    Print publication:
    February 2012

  • 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.