Block incomplete LU-preconditioners for implicit solution of advection dominated problems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1225, Issue , 1997, Pages 421-430

  van der Ploeg, Auke ^a   Keppens, Rony ^b   Tóth, Gábor ^c  

^a CWI   (Netherlands)

^b FOM INSTITUTE FOR PLASMA PHYSICS RIJNHUIZEN   (Netherlands)

^c UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; LINEAR SYSTEMS; MAGNETOHYDRODYNAMICS;

ADVECTION-DOMINATED PROBLEMS; DIAGONALLY DOMINANT; EXPLICIT TIME INTEGRATION; IMPLICIT SCHEMES; IMPLICIT SOLUTIONS; INCOMPLETE LU-DECOMPOSITION; MULTIDIMENSIONAL FLOW; PRECONDITIONERS;

ITERATIVE METHODS;

EID: 84979018715     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0031614     Document Type: Conference Paper

References (15)

1. Aarden, J., Karlsson, K.-E.: Preconditioned cg-type methods for solving the coupled systems of fundamental semiconductor equations. BIT 29 (1989) 916-937
2. Axelsson, O., Gustafsson, I.: Iterative solution for the solution of the Navier equations of elasticity. Comput. Methods Appl. Mech. Eng. 15 (1978) 241-258
3. Axelsson, O., Lindskog, G.: On the eigenvalue distribution of a class of preconditioning methods. Numer. Math. 48 (1986) 479-498
4. Dongarra J. J., Duff I. S., Sorensen, D. C., van der Vorst, H. A.: Solving linear systems on vector and shared memory computers. (SIAM, 1991) 174-179
5. Duff, I. S., Meurant, G. A.: The effect of ordering on preconditioned conjugate gradient. BIT 29 (1989) 635-657
6. Eisenstat, S. C.: Efficient implementation of a class of preconditioned conjugate gradient methods. SIAM J. Sci. Statist. Comput. 2 (1981) 1-4
7. Gustafsson, I.: A class of l:st order factorization methods. BIT 18 (1978) 142-156
8. Keppens, R., Tóth, G., van der Ploeg, A., Botchev, M.: Implicit and Semi-Implicit Schemes in the Versatile Advection Code, (work in progress)
9. Saad, Y., Schultz, M. H.: A generalized minimal residual algorithm for solving non- symmetric linear systems. SIAM J. Sci. Statist. Comput. 7 (1986) 856-869
10. Tóth, G.: A general code for modeling MHD flows on parallel computers: Versatile advection code. Astrophys. Lett. & Comm. 34 (1996), 245-250
11. Tóth, G.: Versatile Advection Code, (in this volume)
12. Tóth, G., Odstrčil, D.: Comparison of some Flux Corrected Transport and Total Variation Diminishing Numerical Schemes for Hydrodynamic and Magnetohydro- dynamic Problems. J. Comput. Phys. 128 (1996) 82-100
13. Yee, H. C.: A class of high-resolution explicit and implicit shock-capturing methods. NASA TM-101088 (1989)
14. van der Ploeg, A.: Preconditioning for sparse matrices with applications. Ph. D. thesis, University of Groningen (1994)
15. van der Ploeg, A.: Reordering strategies and LU-decomposition of block tridiagonal matrices for parallel processing. Technical Report NM-R9618, Centrum voor Wiskunde en Informatica, October 1996