Feng X. (1997) Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods. IMA J. Numer. Anal. 14: 1--22. Home/Search Document Details and Download
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Finite Element Methods and Domain Decomposition Algorithms.. - Feng, Lee, Wei (Correct)
.... Galerkin approximations in both [16] and [17] The domain decomposition methods developed in this paper are based on the idea of using the convex combinations of the interface conditions in place of the original interface conditions to pass the information between subdomains, see [11] 2] 6] [9] and references therein for the expositions and discussions on this approach for problems posed in homogeneous media. So the domain decomposition methods of this paper may be regarded as the generalizations of the methods proposed in those papers to the time dependent heterogeneous problems. The ....
....problems arising from many scientific applications. We refer to [14] and reference therein for more discussions in this direction. For simplicity we shall only describe and analyze our domain decomposition algorithms at the differential level in this section. Following the ideas of [2] 6] and [9], it is not very hard but rather technical and tedious to construct and analyze the discrete analogues of the differential domain decomposition algorithms to be introduced in the following. Those analyses along with the computation test results will be reported elsewhere in a forthcoming paper. ....
X. Feng, Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods, IMA J. Numer. Anal. (to appear).
Domain Decomposition Methods for a System of Coupled.. - Peter Cummings Xiaobing (1999) (2 citations) Self-citation (Feng) (Correct)
....problems from scientific applications. See [QPV92] and the references therein. The non overlapping domain decomposition methods developed in this paper are based on the idea of using convex combinations of the original physical interface conditions to transmit information between subdomains. See [BF97, Des91, Fen97, Lio90, SBG96] for expositions and discussions on this approach for homogeneous problems. It is more delicate to apply the idea to the heterogeneous fluid solid interaction problem because using straightforward combinations of the original interface conditions as transmission conditions may lead to divergent ....
....some parallelizable iterative procedures for the problem based on non overlapping domain decomposition. We show the utility of these iterative algorithms by establishing their convergence in the energy space of the underlying fluid solid interaction problem. As in the comparable methods of ([BF97, Des91, Fen97]) the main idea here is to replace the original physical interface conditions (14) 15) with the following equivalent Robin type interface conditions DD METHODS FOR A SYSTEM OF COUPLED HELMHOLTZ EQUATIONS 209 p nf ffp = Gamma 2 ae f u Delta n s Gamma ffoe(u)n s Delta n s ; on ....
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Feng X. (1997) Analysis of a domain decomposition method for the nearly elastic wave equations based on mixed finite element methods. IMA J. Numer. Anal. 14: 1--22.
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