A spectral element technique with a local spectral basis

SIAM Journal on Scientific Computing

Volumn 18, Issue 2, 1997, Pages 355-370

  Black, Kelly ^a,b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b University of New Hampshire   (United States)

Author keywords

Domain decomposition; Legendre polynomials; Parabolic PDE; Spectral methods

Indexed keywords

LEGENDRE POLYNOMIALS; MULTIDOMAIN LEGENDRE-TAU METHOD; SPECTRAL ELEMENT TECHNIQUE;

APPROXIMATION THEORY; CALCULATIONS; FUNCTIONS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; SPECTRUM ANALYSIS;

MATHEMATICAL TECHNIQUES;

EID: 0031082712     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827594268713     Document Type: Article

References (11)

1. C. BASDEVANT, M. DEVILLE, P. HALDENWANG, J. M. LACROIX, J. OUAZZANI, R. PEYRET, P. ORLANDI, AND A. T. PATERA, Spectral and finite difference solutions of the Burger equation, Comput. & Fluids, 14 (1986), pp. 23-41.
2. K. BLACK, A Petrov-Galerkin spectral element technique for heterogeneous porous media flow, Internat. J. Comput. Math. Appl., 29 (1995), pp. 49-65.
3. C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI, AND T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag, New York, 1988.
4. J. D. COLE, On a quasi-linear parabolic equation occuring in aerodynamics, Quart. Appl. Math., IX (1951), pp. 225-236.
5. P. J. DAVIS AND P. RABINOWITZ, Methods of Numerical Integration, 2nd ed., Academic Press, New York, 1984.
6. W. S. DON AND A. SOLOMONOFF, Accuracy and Speed in Computing the Chebyshev Collocation Derivative, NASA Contractor Report 4411, NASA, Langley, VA, December 1991.
7. M. ISRAELI, L. VOZOVOI, AND A. AVERBACH, Spectral multidomain technique with local Fourier basis, J. Sci. Comput., 8 (1993), pp. 135-149.
8. A. T. PATERA, A spectral element method for fluid dynamics: Laminar flow in a channel expansion, J. Comput. Phy., 54 (1984), pp. 468-488.
9. W. PRESS, S. TEUKOLSKY, W. VETTERLING, AND B. FLANNERY, Numerical Recipes in C, 2nd ed., Cambridge University Press, New York, 1992.
10. Y. SAAD AND M. SCHULTZ, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
11. H. WALKER, Implementation of the GMRES method using householder transformations, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 152-163.