Adaptive domain decomposition algorithms and finite volume/finite element approximation for advection-diffusion equations

Journal of Scientific Computing

Volumn 11, Issue 4, 1996, Pages 299-341

  Ciccoli, M C ^a  

^a CENTER FOR ADVANCED STUDIES   (Italy)

Author keywords

Advection diffusion equation; Domain decomposition; Finite element; Finite volume

Indexed keywords

ADAPTIVE ALGORITHMS; APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; FINITE VOLUME METHOD;

ADAPTIVE DOMAIN DECOMPOSITION ALGORITHMS; ADVECTION DIFFUSION EQUATIONS;

FLOW OF FLUIDS;

EID: 0030385324     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02088951     Document Type: Article

References (6)

1. Arminjon, P., Dervieux, A., Fezoui, L., Steve, H., and Stoufflet, B. (1988). Non-oscillatory schemes for multidimensional Euler calculations with unstructured grids, Notes on Numer. Fluid Mechanics, Vol. 24, Jeltsch, R. and Ballmann, J. (eds.), Vieweg, Braunschweig.
2. Carlenzoli, C., and Quarteroni, A. (1993). Adaptive domain decomposition methods for advection-diffusion problems, Proc. of the Ima Workshop on Mesh-Adaptivity.
3. Funaro, D., Quarteroni, A., and Zanolli, P. (1988). An iterative procedure with interface relaxation for domain decomposition methods. SIAM J. Numer. Anal. 25, 1213-1236.
4. Habbal, A., Dervieux, A., Guillard, H., and Larrouturou, B. (1987). Explicit calculation of reactive flows with an upwind finite element hydrodynamical cose, INRIA report. No. 690.
5. Marini, L. D., and Quarteroni, A. (1989). A relaxation procedure for domain decomposition methods using finite elements. Numer. Math. 55, 575-598.
6. Quarteroni, A. (1990). Domain decomposition methods for system of conservation laws: spectral collocation approximation. SIAM J. Sci. Stat. Comp. 11, 1029-1052.