Domain decomposition method for optimization problems for partial differential equations

Computers and Mathematics with Applications

Volumn 40, Issue 2, 2000, Pages 177-192

  Gunzburger, M D ^a   Lee, Jeehyun ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING;

DOMAIN DECOMPOSITION METHOD; GRADIENT METHOD; MULTIOBJECTIVE OPTIMIZATION PROBLEM;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0034230430     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00152-8     Document Type: Article

References (9)

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2. Q. Du, Optimization based nonoverlapping domain decomposition methods and their convergence, Mathematics of Computation (to appear).
3. Q. Du and M. Gunzburger, A gradient method approach to optimization-based multidisciplinary simulations and nonoverlapping domain decomposition algorithms, SIAM J. Numer. Anal. (to appear).
4. R. Glowinski and P. Le Tallec, Augmented Lagrangian interpretation of the nonoverlapping Schwarz alternating method, in Proc. 3rd International Symposium on Domain Decomposition Methods for Partial Differential Equations, (Edited by T. Chan et al.), pp. 224-231, SIAM, Philadelphia, PA, (1990).
5. M. Gunzburger, M. Heinkenschloss and H. Lee, Solution of elliptic pdes by an optimization-based domain decomposition method, Appl. Math. Comp. (to appear).
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7. M. Gunzburger and H. Lee, An optimization based domain decomposition method for the Navier-Stokes equations, SIAM J. Numer. Anal. (to appear).
8. V. Tikhomirov, Fundamental Principles of the Theory of Extremal Problems, Wiley, Chichester, (1986).
9. P. Ciarlet, Introduction to Numerical Linear Algebra and Optimization, Cambridge University, Cambridge, (1989).