Substructuring by Lagrange Multipliers
نویسندگان
چکیده
منابع مشابه
A dual iterative substructuring method with a penalty term
An iterative substructuring method with Lagrange multipliers is considered for the second order elliptic problem, which is a variant of the FETI-DP method. The standard FETI-DP formulation is associated with the saddle-point problem which is induced from the minimization problem with a constraint for imposing the continuity across the interface. Starting from the slightly changed saddle-point p...
متن کامل2 Charbel Farhat And
We present a formulation of the FETI substructuring method as a matrix preconditioning algorithm and report on theoretical results and practical experience in large scale parallel implementations. The method has quasi-optimal convergence properties: the condition number can be proved to be independent of the number of subdomains, and to grow at most polylogarithmically with the number of elemen...
متن کاملSubstructuring Preconditioning for Finite Element Approximations of Second Order Elliptic Problems. Ii. Mixed Method for an Elliptic Operator with Scalar Tensor
Abstract This work continues the series of papers in which new approach of constructing alge braic multilevel preconditioners for mixed nite element methods for second order elliptic problems with tensor coe cients on general grid is proposed The linear system arising from the mixed meth ods is rst algebraically condensed to a symmetric positive de nite system for Lagrange multipliers which cor...
متن کاملDual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
In this paper, certain iterative substructuring methods with Lagrange multipliers are considered for elliptic problems in three dimensions. The algorithms belong to the family of dual{ primal FETI methods which have recently been introduced and analyzed successfully for elliptic problems in the plane. The family of algorithms for three dimensions is extended and a full analysis is provided for ...
متن کامل