Iterative algorithms of domain decomposition for the solution of a quasilinear elliptic problem

Journal of Computational and Applied Mathematics

Volumn 80, Issue 2, 1997, Pages 299-316

  Boglaev, Igor P ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Domain decomposition method; Elliptic problem; Parallel computing

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING;

DOMAIN DECOMPOSITION METHOD; ITERATIVE ALGORITHMS; QUASILINEAR ELLIPTIC PROBLEM;

ALGORITHMS;

EID: 0031554175     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00032-0     Document Type: Article

References (8)

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2. I.P. Boglaev, V.V. Sirotkin, The solution of singularly perturbed problems via domain decomposition, Comput. Math. Appl. 25 (1993) 31-42.
3. I.P. Boglaev, V.V. Sirotkin, Computational method for a singular perturbation problem via domain decomposition and its parallel implementation, J. Appl. Math. Comput. 56 (1993) 71-95.
4. P.A. Farrell, I.P. Boglaev, V.V. Sirotkin, Parallel domain decomposition methods for semi-linear singularly perturbed differential equations, Comput. Fluid Dyn. J. 2 (1994) 423-434.
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7. P.L. Lions, On the Schwarz alternating method, II, in: T.F. Chan, R. Glowinski, J. Periaux, O.B. Widlund, (Eds.), Proc. 3rd Internat. Symp. on Domain Decomposition Methods for Partial Differential Equations, Society for Industrial and Applied Mathematics, Philadelphia, 1990, pp. 47-70.
8. H.A. Schwarz, Über einige Abbildungsaufgaben, J. Reine Angew. Math. 70 (1869) 105-120.