New Theoretical Coefficient Robustness Results for FETI-DP
نویسندگان
چکیده
We consider FETI-DP solvers (see Farhat et al. [2001], Mandel and Tezaur [2001], Klawonn et al. [2002]) for the fast (and parallel) solution of this system, and we follow the structure described in [Toselli and Widlund, 2005, Sect 6.4]. To this end, we partition the domain Ω into non-overlapping subdomains Ωi, i = 1, . . . ,N such that the global mesh T (Ω) resolves the interface ⋃ i 6= j ∂Ωi∩ ∂Ω j. The inter-
منابع مشابه
Highly Scalable Parallel Domain Decomposition Methods with an Application to Biomechanics
Highly scalable parallel domain decomposition methods for elliptic partial differential equations are considered with a special emphasis on problems arising in elasticity. The focus of this survey article is on Finite Element Tearing and Interconnecting (FETI) methods, a family of nonoverlapping domain decomposition methods where the continuity between the subdomains, in principle, is enforced ...
متن کاملA FETI-DP Method for the Mortar Discretization of Elliptic Problems with Discontinuous Coefficients
Second order elliptic problems with discontinuous coefficients are considered. The problem is discretized by the finite element method on geometrically conforming non-matching triangulations across the interface using the mortar technique. The resulting discrete problem is solved by a FETI-DP method. We prove that the method is convergent and its rate of convergence is almost optimal and indepe...
متن کاملRobust FETI solvers for multiscale elliptic PDEs
Finite element tearing and interconnecting (FETI) methods are efficient parallel domain decomposition solvers for large-scale finite element equations. In this work we investigate the robustness of FETI methods in case of highly heterogeneous (multiscale) coefficients. Our main application are magnetic field computations where both large jumps and large variation in the reluctivity coefficient ...
متن کاملJOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics Analysis of FETI Methods for Multiscale PDEs - Part II: Interface Variation
In this article we give a new rigorous condition number estimate of the finite element tearing and interconnecting (FETI) method and a variant thereof, all-floating FETI. We consider the scalar elliptic equation in a twoor three-dimensional domain with a highly heterogeneous (multiscale) diffusion coefficient. This coefficient is allowed to have large jumps not only across but also along subdom...
متن کاملAnalysis of FETI methods for multiscale PDEs. Part II: interface variation
In this article we give a new rigorous condition number estimate of the finite element tearing and interconnecting (FETI) method and a variant thereof, all-floating FETI. We consider the scalar elliptic equation in a twoor three-dimensional domain with a highly heterogeneous (multiscale) diffusion coefficient. This coefficient is allowed to have large jumps not only across but also along subdom...
متن کامل