Parallel MIC(0) preconditioning of 3D elliptic problems discretized by Rannacher-Turek finite elements

Computers and Mathematics with Applications

Volumn 55, Issue 10, 2008, Pages 2197-2211

  Arbenz, P ^a   Margenov, S ^b   Vutov, Y ^b  

^a ETH ZURICH   (Switzerland)

^b BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

Author keywords

MIC(0) preconditioning; Nonconforming FEM; Parallel algorithms

Indexed keywords

PARALLEL ALGORITHMS; PROBLEM SOLVING; THREE DIMENSIONAL;

CHOLESKY FACTORIZATION; RANNACHER-TUREK FINITE ELEMENTS;

FINITE ELEMENT METHOD;

EID: 41349095073     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.11.013     Document Type: Article

References (14)

1. Arnold D.N., and Brezzi F. Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates. RAIRO Model. Math. Anal. Numer. 19 (1985) 7-32
2. Gustafsson I., and Lindskog G. On parallel solution of linear elasticity problems: Part I: Theory. Numer. Linear Algebra Appl. 5 2 (1998) 123-139
3. Lazarov R.D., and Margenov S. On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems. In: Dimov I., Lirkov I., Margenov S., and Zlatev Z. (Eds). Numerical Methods and Applications. LNCS vol. 2542 (2003), Springer 192-201
4. Bencheva G., Georgiev I., and Margenov S. Two-level preconditioning of Crouzeix-Raviart anisotropic FEM systems. Lecture Notes in Computer Science vol. 2907 (2004), Springer 76-84
5. Bencheva G., and Margenov S. Parallel incomplete factorization preconditioning of rotated linear FEM systems. J. Comp. Appl. Mech. 4 2 (2003) 105-117
6. Bencheva G., and Margenov S. Performance analysis of parallel MIC(0) preconditioning of rotated bilinear nonconforming FEM systems. Math. Balkanica 18 (2004) 319-336
7. P. Arbenz, S. Margenov, Parallel MIC(0) preconditioning of 3D nonconforming FEM systems, in: Iterative Methods, Preconditioning and Numerical PDEs (Proceedings of IMET Conference, Prague), 2004, pp. 12-15
8. Vutov Y. Parallel incomplete factorization of 3D NC FEM elliptic systems. LNCS vol. 4310 (2007), Springer 114-121
9. Rannacher R., and Turek S. Simple nonconforming quadrilateral stokes element. Numer. Methods Partial Differential Equations 8 2 (1992) 97-112
10. Blaheta R. Displacement decomposition-incomplete factorization preconditioning techniques for linear elasticity problems. Numer. Linear Algebra Appl. 1 (1994) 107-126
11. Gustafsson I. Modified incomplete Cholesky (MIC) factorization. In: Evans D.J. (Ed). Preconditioning Methods; Theory and Applications, Gordon and Breach (1983) 265-293
12. Saint-George P., Warzee G., Beauwens R., and Notay Y. High performance PCG solvers for FEM structural analyses. Internat. J. Numer. Meth. Engrg. 39 (1996) 1313-1340
13. Axelsson O. Iterative Solution Methods (1994), Cambridge University Press, Cambridge
14. I. Gustafsson, Stability and rate of convergence of modified incomplete Cholesky factorization methods, Chalmers University of Technology, Report Nr. 79.02R, 1979