Finite element approximation of the diffusion operator on tetrahedra

SIAM Journal on Scientific Computing

Volumn 19, Issue 4, 1998, Pages 1154-1168

  Putti, Mario ^a   Cordes, Christian ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Finite elements; Galerkin method; Three dimensional Delaunay triangulation

Indexed keywords

EID: 0001296955     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827595290711     Document Type: Article

References (15)

1. A. BOWYER, Computing Dirichlet tessellations, Comput. J., 24 (1981), pp. 162-166.
2. C. CORDES, Bahnkurven in Potentialströmungen, Ph.D. thesis, Kassel University, Kassel, Germany, 1994.
3. C. CORDES AND W. KINZELBACH, A subdomain collocation approach in tetrahedral finite elements, in Computational Methods in Water Resources, Vol. 1, A. Peters, G. Wittum, B. Herrling, U. Meissner, C. A. Brebbia, W. G. Gray, and G. F. Pinder, eds., Kluwer Academic Publishers, Norwell, MA, 1994, pp. 27-34.
4. H. EDELSBRUNNER, Algorithms in Combinatorial Geometry, Springer-Verlag, Berlin, 1987.
5. P. A. FORSYTH, A control volume finite element approach to NAPL groundwater contamination, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 1029-1057.
6. G. GAMBOLATI, Diagonally dominant matrices for the finite element method in hydrology, Internat. J. Numer. Methods Engrg., 6 (1973), pp. 587-591.
7. G. GAMBOLATI, G. PINI, AND T. TUCCIARELLI, A 3-D finite element conjugate gradient model of subsurface flow with automatic mesh generation, Adv. Water Resources, 3 (1986), pp. 34-41.
8. B. JOE, Delaunay triangular meshes in convex polygons, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 514-539.
9. F. W. LETNIOWSKI, Three-dimensional Delaunay triangulations for finite element approximations to a second-order diffusion operator, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 765-770.
10. T. N. NARASIMHAN AND P. A. WITHERSPOON, An integrated finite difference method for analyzing fluid flow in porous media, Water Resour. Res., 12 (1976), pp. 57-64.
11. J. M. ORTEGA, Matrix Theory, Plenum Press, New York, 1987.
12. C. PRAKASH, Examination of the upwind formulation in the control volume finite element method for fluid flow and heat transfer, Numer. Heat Transfer, 11 (1987), pp. 401-416.
13. J. RISLER, Mathematical Methods for CAD, Cambridge University Press, Cambridge, MA, 1992.
14. G. E. SCHNEIDER AND M. J. RAW, A skewed, positive influence coefficient upwinding procedure for control volume based finite element convection diffusion computation, Numer. Heat Transfer, 9 (1986), pp. 1-26.
15. O. C. ZIENKIEWICZ, The Finite Element Method, McGraw-Hill, New York, 1986.