The mortar finite element formulation using a multigrid approach for fast solutions on non-matching grids is presented. The generality of the method developed is demonstrated by applying the technique to fluid dynamics. The method relies on computing solutions over different subdomains with different multigrid levels. A local Vanka-like relaxation operator for the multigrid solution of the Navier-Stokes system is employed to compute the solution of the mortar finite element formulation at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations on a parallel machine are presented to support the application of the method to problems in fluid dynamics.
|State||Published - 2004|
|Event||European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland|
Duration: Jul 24 2004 → Jul 28 2004
|Conference||European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004|
|Period||07/24/04 → 07/28/04|
- Finite elements
- Mortar methods