Balancing domain decomposition for mixed finite elements
نویسندگان
چکیده
منابع مشابه
Balancing Domain Decomposition for Mixed Finite Elements
The rate of convergence of the Balancing Domain Decomposition method applied to the mixed finite element discretization of second-order elliptic equations is analyzed. The Balancing Domain Decomposition method, introduced recently by Mandel, is a substructuring method that involves at each iteration the solution of a local problem with Dirichlet data, a local problem with Neumann data, and a "c...
متن کاملBalancing domain decomposition for mortar mixed finite element methods
The balancing domain decomposition method for mixed finite elements by Cowsar, Mandel, and Wheeler is extended to the case of mortar mixed finite elements on non-matching multiblock grids. The algorithm involves an iterative solution of a mortar interface problem with one local Dirichlet solve and one local Neumann solve per subdomain on each iteration. A coarse solve is used to guarantee that ...
متن کاملBalancing domain decomposition for nonconforming plate elements
where u is the displacement and f 2 L( ) is the body force. Some of the simplest plate elements such as the Morley element (cf. [29]), the Zienkiewicz element (cf. [3]), the Fraeijs de Veubeke element (cf. [22]), the incomplete biquadratic element (cf. [34]) and the Adini element (cf. [1]) are nonconforming. Overlapping domain decomposition methods for nonconforming plate elements were studied ...
متن کاملDomain Decomposition and hp-Adaptive Finite Elements
In this work, we report on an ongoing project to implement an hp-adaptive finite element method. The inspiration of this work came from the development of certain a posteriori error estimates for high order finite elements based on superconvergence Bank and Xu [2003a,b], Bank et al. [2007]. We wanted to create an environment where these estimates could be evaluated in terms of their ability to ...
متن کاملBalancing domain decomposition for mortar mixed nite element methods
The balancing domain decomposition method for mixed nite elements by Cowsar, Mandel, and Wheeler is extended to the case of mortar mixed nite elements on non-matching multiblock grids. The algorithm involves an iterative solution of a mortar interface problem with one local Dirichlet solve and one local Neumann solve per subdomain on each iteration. A coarse solve is used to guarantee that the ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1995
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1995-1297465-9