Abstract | ||
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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 |
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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 Chen | 1 | 347 | 67.13 |
Richard E. Ewing | 2 | 252 | 45.87 |
Raytcho Lazarov | 3 | 259 | 23.48 |