Analysis of a nonoverlapping domain decomposition method for elliptic partial differential equations

Journal of Computational and Applied Mathematics

Volumn 87, Issue 1, 1997, Pages 11-19

  Rice, J R ^a   Vavalis, E A ^a,c,d   Yang, Daoqi ^b  

^a Purdue University   (United States)

^b WAYNE STATE UNIVERSITY   (United States)

^c UNIVERSITY OF CRETE   (Greece)

^d INSTITUTE OF COMPUTER SCIENCE   (Greece)

Author keywords

Domain decomposition; Interface relaxation; Partial differential equations

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PROBLEM SOLVING;

INTERFACE RELAXATION; NONOVERLAPPING DOMAIN DECOMPOSITION METHOD;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0031373979     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00172-6     Document Type: Article

References (6)

1. D. Funaro, A. Quarteroni, P. Zanolli, An iterative procedure with interface relaxation for domain decomposition methods, SIAM J. Numer. Anal. 25(6) (1988) 1213-1236.
2. P.L. Lions, On the Schartz alternating method III: A variant for nonoverlapping subdomains, in: R. Glowinski, G.H. Golub, G.A. Meurant, J. Periaux (Eds.), Domain Decomposition Methods for Partial Differential Equations, SIAM, 1988, pp. 202-223.
3. J.R. Rice, R.F. Boisvert, Solving Elliptic Problems Using ELLPACK, Springer, New York, NY, 1985.
4. J.R. Rice, P. Tsompanopoulou, E.A. Vavalis, Review and performance of interface relaxation methods for elliptic PDEs, Technical Report CSD-TR-97-004, Purdue University, W. Lafayette IN, 1997.
5. D. Yang, A parallel domain decomposition algorithm for elliptic problems, J. Comp. Math. 14 (1997) in press.
6. D. Yang, A parallel iterative nonoverlapping domain decomposition procedure for elliptic problems, IMA J. Numer. Anal. 16 (1996) 75-91.