Combining Galerkin matrix perturbation with Taylor weak statement algorithms

Computer Methods in Applied Mechanics and Engineering

Volumn 184, Issue 1, 2000, Pages 87-98

  Roy, Subrata ^a  

^a KETTERING UNIVERSITY   (United States)

Author keywords

Finite element; Fully discrete; High order accurate; Matrix perturbation; Static condensation; Taylor weak statement

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; GALERKIN METHODS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES;

GALERKIN MATRIX PERTURBATION (GMP); TAYLOR WEAK STATEMENT (TWS) ALGORITHM;

COMPUTATIONAL FLUID DYNAMICS;

COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL METHOD;

COMPUTATIONAL FLUID DYNAMICS; NUMERICAL METHOD;

EID: 0034737359     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00098-5     Document Type: Article

References (14)

1. Baker A.J., Kim J.W. A Taylor weak-statement algorithm for hyperbolic conservation laws. International Journal for Numerical Methods in Fluids. 7:1987;489-520.
2. A.J. Baker, P.T. Williams, D.J. Chaffin, S. Roy, Recent advances in finite element CFD modeling for environmental flow sciences, in: S. Sam, Y. Wang (Eds.), Advances in Hydro-Science and Engineering, vol. 1, 1993, pp. 32-45.
3. Lele S.K. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics. 103:1992;16-42.
4. Baker A.J., Kelso R.M., Gordon E.B., Roy S., Schaub E.G. Computaional fluid dynamics: a two edge sword. ASHRAE Journal. 39(8):1997;51-58.
5. C. Hirsch, Numerical Computation of Internal and External Flows 1, 2, Computational Methods for Inviscid and Viscous Flows, Wiley, West Sussex, England, 1992.
6. Roy S., Baker A.J. A weak statement perturbation CFD algorithm with high-order phase accuracy for hyperbolic problems. Computer Methods in Applied Mechanics and Engineering. 131:1996;209-232.
7. Baker A.J., Iannelli G.S., Roy S., Chaffin D.J. Some recent adventures into improved finite element CFD methods for convective transport. Computer Methods in Applied Mechanics and Engineering. 151:1998;27-42.
8. Chaffin D.J., Baker A.J. On Taylor weak-statement finite element methods for computational fluid dynamics. International Journal for Numerical Methods in Fluids. 20:1995;421-442.
9. Morton K.W., Parrott A.K. Generalized Galerkin methods for first order hyperbolic equations. Journal of Computational Physics. 36:1980;249-270.
10. Carey G.F., Jiang B.N. Least-squares finite element for first-order hyperbolic systems. International Journal for Numerical Methods in Engineering. 26:1988;81-93.
11. Park N.S., Liggett J.A. Taylor-least-squares finite element for two-dimensional advection- dominated unsteady advection-diffusion problems. International Journal for Numerical Methods in Fluids. 11:1990;21-38.
12. Donea J. A Taylor-Galerkin method for convective transport problems. International Journal for Numerical Methods in Engineering. 20:1984;101-119.
13. Heinrich J.C., Zienkiewicz O.C. Finite Elements in Fluids, III. 1978;Wiley-Interscience, New York.
14. Leonard B.P., Drummond J.E. Why you should not use 'hybrid,' 'power-law' or related exponential schemes for convective modelling - there are much better alternatives. International Journal for Numerical Methods in Fluids. 20:1995;421-442.