Title
Domain decomposition algorithms for mixed methods for second-order elliptic problems
Abstract
In this paper domain decomposition algorithms for mixed nite element methods for linear second-order elliptic problems in R2 and R3 are developed. A convergence theory for two-level and multilevel Schwarz meth- ods applied to the algorithms under consideration is given. It is shown that the condition number of these iterative methods is bounded uniformly from above in the same manner as in the theory of domain decomposition methods for conforming and nonconforming nite element methods for the same dier- ential problems. Numerical experiments are presented to illustrate the present techniques.
Year
DOI
Venue
1996
10.1090/S0025-5718-96-00703-X
Math. Comput.
Keywords
Field
DocType
domain decomposition,. finite element,projection of coecient.,implementation,domain decomposition algorithm,second-order elliptic problem,mixed method,convergence,conforming and non- conforming methods,condition number,finite element,iteration method
Boundary value problem,Condition number,Mathematical optimization,Mortar methods,Iterative method,Algorithm,Finite element method,Elliptic curve,Mathematics,Domain decomposition methods,Bounded function
Journal
Volume
Issue
ISSN
65
214
0025-5718
Citations 
PageRank 
References 
12
6.14
3
Authors
3
Name
Order
Citations
PageRank
Zhang-Xin Chen134767.13
Richard E. Ewing225245.87
Raytcho Lazarov325923.48