A balancing domain decomposition method by constraints for advection-diffusion problems
نویسندگان
چکیده
منابع مشابه
A Balancing Domain Decomposition Method by Constraints for Advection-diffusion Problems
The balancing domain decomposition methods by constraints are extended to solving nonsymmetric, positive definite linear systems resulting from the finite element discretization of advection-diffusion equations. A preconditioned GMRES iteration is used to solve a Schur complement system of equations for the subdomain interface variables. In the preconditioning step of each iteration, a partiall...
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in a bounded polyhedral domain Ω ⊂ R with a Lipschitz boundary ∂Ω and 0 < ǫ ≤ 1,b ∈ [H(Ω) ∩ L∞(Ω)]d, c ∈ L∞(Ω), f ∈ L(Ω), c− 1 2∇ · b ≥ 0. Let {Ωk} be a non-overlapping macro partition with Ω = ∪k=1Ωk. The goal of the well-known DDM of Robin type (Lions [1990]) is to enforce (in appropriate trace spaces) continuity of the solution u and of the diffusive and advective fluxes ǫ∇u·nkj resp.− 1 2 (...
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We propose a domain decomposition method for advection-diffusionreaction equations based on Nitsche’s transmission conditions. The advection dominated case is stabilized using a continuous interior penalty approach based on the jumps in the gradient over element boundaries. We prove the convergence of the finite element solutions of the discrete problem to the exact solution and we propose a pa...
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ژورنال
عنوان ژورنال: Communications in Applied Mathematics and Computational Science
سال: 2008
ISSN: 2157-5452,1559-3940
DOI: 10.2140/camcos.2008.3.25