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On the domain decomposition method for the generalized Stokes problem with continuous pressure
Author(s) -
Calgaro C.,
Laminie J.
Publication year - 2000
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(200001)16:1<84::aid-num7>3.0.co;2-2
Subject(s) - domain decomposition methods , preconditioner , mathematics , discretization , mortar methods , finite element method , domain (mathematical analysis) , computation , schur complement , partial differential equation , interface (matter) , mathematical analysis , algorithm , computer science , linear system , parallel computing , eigenvalues and eigenvectors , physics , quantum mechanics , thermodynamics , bubble , maximum bubble pressure method
Using the nonoverlapping domain decomposition approach, we propose a formulation of the dual Schur algorithm for the generalized Stokes problem discretized by a mixed finite element method continuous for the pressure in each subdomain, but discontinuous at the interfaces. The corresponding LBB condition is checked. The dual interface problem is written in the case of two subdomains, and it is generalized to several subdomains. An efficient preconditioner for the interface problem is derived. Numerical results are presented for two different local solvers. Parallel computations were made on an IBM‐SP2. © 2000 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 84–106, 2000