caa a22 4500 477074642 CHVBK 20180405111436.0 cr unu---uuuuu 170330e19961201xx s 000 0 eng 10.1007/BF02900903 doi (NATIONALLICENCE)springer-10.1007/BF02900903 A combined technique for solution of PDE's via the generalized domain decomposition method [Elektronische Daten] [Guangming Lin, Lishan Kang, Yuping Chen, Iain Macleod] The Domain Decomposition Method (DDM) is a powerful approach to solving many types of PDE's. DDM is especially suitable for massively parallel computers. In the past, most research on DDM has focused on the domain splitting technique. In this paper, we focus our attention on use of a combination of techniques to solve each subproblem. The central question with DDM is that of how to deal with the pseudoboundary conditions. Here, we introduce a set of operators which act on the pseudo-boundaries in the solution process, referring to this new procedure as the "Generalized Domain Decomposition Method (GDDM).” We have already obtained convergence factors for GDDM with certain classes of PDE's. These convergence factors show that we can derive exact solutions of the whole problem for certain types of PDE's, and can get superior speed of convergence for other types. Springer, 1996 Generalized Domain Decomposition Method nationallicence Pseudo-Boundary Operator nationallicence Convergence Factor nationallicence Combined Technique nationallicence Lin Guangming Soft Science Department, Shenzhen University, P.R.C. aut Kang Lishan Software Engineering State Key Laboratory, Wuhan University, P.R.C. aut Chen Yuping Software Engineering State Key Laboratory, Wuhan University, P.R.C. aut Macleod Iain Computer Sciences Laboratory, The Australian National University, 0200, Canberra, ACT, Australia aut Wuhan University Journal of Natural Sciences Wuhan University 1/3-4(1996-12-01), 668-674 1007-1202 1:3-4<668 1996 1 11859 https://doi.org/10.1007/BF02900903 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02900903 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lin Guangming Soft Science Department, Shenzhen University, P.R.C aut NATIONALLICENCE 700 1- Kang Lishan Software Engineering State Key Laboratory, Wuhan University, P.R.C aut NATIONALLICENCE 700 1- Chen Yuping Software Engineering State Key Laboratory, Wuhan University, P.R.C aut NATIONALLICENCE 700 1- Macleod Iain Computer Sciences Laboratory, The Australian National University, 0200, Canberra, ACT, Australia aut NATIONALLICENCE 773 0- Wuhan University Journal of Natural Sciences Wuhan University 1/3-4(1996-12-01), 668-674 1007-1202 1:3-4<668 1996 1 11859 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer