A multidomain spectral method for solving elliptic equations

Computer Physics Communications

Volumn 152, Issue 3, 2003, Pages 253-273

  Pfeiffer, Harald P ^a   Kidder, Lawrence E ^b   Scheel, Mark A ^c   Teukolsky, Saul A ^d  

^a School of Operations Research and Industrial Engineering   (United States)

^b National Astronomy and Ionosphere Center   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^d DIVISION OF INVERTEBRATE ZOOLOGY   (United States)

Author keywords

Domain decomposition; Elliptic partial differential equations; General relativity; Initial value problem; Spectral methods

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; INITIAL VALUE PROBLEMS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SPECTRUM ANALYSIS;

ELLIPTIC EQUATIONS;

PROBLEM SOLVING;

EID: 0037447726     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4655(02)00847-0     Document Type: Article

References (30)

1. Orszag S.A. J. Comput. Phys. 37:1980;70.
2. Funaro D., Quarteroni A., Zanolli P. SIAM J. Numer. Anal. 25:1988;1213.
3. Macaraeg M.G., Streett C.L. Appl. Numer. Math. 2:1986;95.
4. Boyd J.B. Chebyshev and Fourier Spectral Methods. 2nd edn. 2001;Dover, New York. For an online version, see http://www-personal.engin.umich.edu/̃jpboyd.
5. Gervasio P., Ovtchinnikov E., Quarteroni A. SIAM J. Numer. Anal. 34:1997;1616.
6. Barrett M., Berry M., Chan T.F., Van der Horst J., Van der Horst H. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. 1994;SIAM, Philadelphia, PA.
7. Demaret P., Deville M.O. J. Comput. Phys. 95:1991;359.
8. Ku H.-C. J. Comput. Phys. 117:1995;215.
9. Pinelli A., Vacca A., Quarteroni A. J. Comput. Phys. 136:1997;546.
10. Grandclément P., Bonazzola S., Gourgoulhon E., Marck J.-A. J. Comput. Phys. 170:2001;231.
11. Gottlieb D., Orszag S.A. Numerical Analysis of Spectral Methods: Theory and Applications. 1977;Society of Industrial and Applied Mathematics.
12. Canuto C., Hussaini M.Y., Quarteroni A., Zang T.A. Spectral Methods in Fluid Dynamics. 1987;Springer, New York.
13. Orszag S. Monthly Weather Rev. 102:1974;56.
14. Kidder L.E., Finn L.S. Phys. Rev. D. 62:2000;084026.
15. Swarztrauber P.N. SIAM J. Numer. Anal. 16:1979;934.
16. Swarztrauber P.N. SIAM J. Numer. Anal. 18:1981;191.
17. S. Balay, K. Buschelman, W.D. Gropp, D. Kaushik, L.C. McInnes, B.F. Smith, PETSc home page, 2001.
18. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical Recipes in C. 1997;Cambridge University Press, Cambridge, UK.
19. Axelsson O. Iterative Solution Methods. 1994;Cambridge University Press.
20. Deville M., Mund E. J. Comput. Phys. 60:1985;517.
21. Baden S.A., Fink S.J. Kelp 1.3 home-page http://www-cse.ucsd.edu/groups/hpcl/scg/kelp.html.
22. Adams J.C., Swarztrauber P.N. Spherepack 3.0 http://www.scd.ucar.edu/css/software/spherepack.
23. Swarztrauber P.N. Dfftpack http://www.netlib.org/fftpack/index.html.
24. Cook G.B., Choptuik M.W., Dubal M.R., Klasky S., Matzner R.A., Oliveira S.R. Phys. Rev. D. 47:1993;1471.
25. Cook G.B. Living Rev, Relativity 3 http://livingreviews.org/Articles/Volume3/2000-5cook/. [Online Article]: cited on Aug 11, 2001.
26. Pfeiffer H.P., Cook G.B., Teukolsky S.A. Phys. Rev. D. 66:2002;024047.
27. Smith B.F., Bjørstad P., Gropp W. Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations. 1996;Cambridge University Press.
28. Saad Y. SIAM J. Sci. Comput. 14:1993;461.
29. Brandt S., Brügmann B. Phys. Rev. Lett. 78:1997;3606.
30. Marronetti P., Matzner R.A. Phys. Rev. Lett. 85:2000;5500.