Direct methods for spectral approximations in nonconforming domain decompositions

Computers and Mathematics with Applications

Volumn 35, Issue 11, 1998, Pages 75-82

  Karageorghis, A ^a   Paprzycki, M ^b  

^a UNIVERSITY OF CYPRUS   (Cyprus)

^b UNIVERSITY OF TEXAS OF THE PERMIAN BASIN   (United States)

Author keywords

Direct solvers; High performance computing; Spectral methods

Indexed keywords

COMPUTER WORKSTATIONS; LINEAR EQUATIONS; MATRIX ALGEBRA; PROBLEM SOLVING; SPECTRUM ANALYSIS;

NONCONFORMING DOMAIN DECOMPOSITION METHOD; SPECTRAL APPROXIMATIONS;

APPROXIMATION THEORY;

EID: 0032093745     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00085-6     Document Type: Article

References (16)

1. A. Karageorghis and S. Sivaloganathan, Conforming spectral approximations for non-conforming domain decompositions, Comput. Methods Appl. Mech. Engng. (to appear).
2. A. Karageorghis, Conforming spectral domain decomposition techniques, In Numerical Analysis and its Applications, Proceedings of the First International Workshop, WNAA'96, Rousse, Bulgaria, 1996, (Edited by L. Vulkov, J. Wasniewski and P. Yalamov); Lecture Notes in Computer Science, No. 1196, pp. 220-226, Springer-Verlag, Berlin, (1997).
3. A. Karageorghis, Conforming spectral domain decomposition techniques, In Numerical Analysis and its Applications, Proceedings of the First International Workshop, WNAA'96, Rousse, Bulgaria, 1996, (Edited by L. Vulkov, J. Wasniewski and P. Yalamov); Lecture Notes in Computer Science, No. 1196, pp. 220-226, Springer-Verlag, Berlin, (1997).
4. A. Karageorghis and M. Paprzycki, An efficient direct method for fully conforming spectral collocation schemes, Numerical Algorithms 12, 309-319 (1996).
5. Numerical Algorithms Group Library Mark 15, NAG(UK) Ltd, Wilkinson House, Jordan Hill Road, Oxford, UK, (1992).
6. T.A. Davis, User's guide for the unsymmetric-pattern multifrontal package, Technical Report TR-95-004, CISE Department, University of Florida, (1995).
7. T.A. Davis and I.S. Duff, A combined unifrontal/multifrontal method for unsymmetric sparse matrices, Technical Report TR-95-020, CISE Department, University of Florida, (1995).
8. UMFPACK, Versions 1.1 and 2.0, available from www.cis.ufl.edu/̃davis.
9. C. Canuto, M. Hussaini, A. Quarteroni and T. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag, New York, (1988).
10. J.P. Boyd, Chebyshev and Fourier Spectral Methods, Springer-Verlag, New York, (1989).
11. E. Anderson, Z. Bai, C. Bischof, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, S. Ostrouchov and D. Sorensen, LAPACK User's Guide, SIAM, Philadelphia, (1992).
12. A. Karageorghis and M. Paprzycki, High performance solution of linear systems arising from conforming spectral approximations for non-conforming domain decompositions, In Numerical Analysis and its Applications, Proceedings of the First International Workshop, WNAA'96, Rousse, Bulgaria, 1996, (Edited by L. Vulkov, J. Wasniewski and P. Yalamov); Lecture Notes in Computer Science, No. 1196, pp. 373-379, Springer-Verlag, Berlin, (1997).
13. A. Karageorghis and M. Paprzycki, High performance solution of linear systems arising from conforming spectral approximations for non-conforming domain decompositions, In Numerical Analysis and its Applications, Proceedings of the First International Workshop, WNAA'96, Rousse, Bulgaria, 1996, (Edited by L. Vulkov, J. Wasniewski and P. Yalamov); Lecture Notes in Computer Science, No. 1196, pp. 373-379, Springer-Verlag, Berlin, (1997).
14. J.J. Dongarra, I.S. Duff, D.C. Sorensen and H. Van der Vorst, Solving Linear Systems on Vector and Shared Memory Computers, SIAM, Philadelphia, (1991).
15. M. Paprzycki and C. Cyphers, Multiplying matrices on the Cray - Practical considerations, CHPC Newsletter 6, 77-82 (1991).
16. I. Bar-On and M. Paprzycki, An efficient algorithm for finding eigenvalues of complex symmetric matrices, Computer Methods in Applied Mechanics and Engineering (to appear).