Summary
We consider a FETI-DP formulation of the Stokes problem with mortar methods. To solve the Stokes problem correctly and efficiently, redundant continuity constraints are introduced. Lagrange multipliers corresponding to the redundant constraints are treated as primal variables in the FETI-DP formulation. We propose a preconditioner for the FETI-DP operator and show that the condition number of the preconditioned FETI-DP operator is bounded by C maxi=1,…,N {(1 + log (H i /h i ))2}, where H i and h i are the subdomain size and the mesh size, respectively, and C is a constant independent of H i and h i .
This work was partially supported by KOSEF R01-2000-00008.
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Kim, H.H., Lee, CO. (2005). A FETI-DP Formulation for Two-dimensional Stokes Problem on Nonmatching Grids. In: Barth, T.J., et al. Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26825-1_35
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DOI: https://doi.org/10.1007/3-540-26825-1_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22523-2
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