Bibliography

1

J. E. Morel, Randy M. Roberts, and Mikhail J. Shashkov, ``A Local Support-Operators Diffusion Discretization Scheme for Quadrilateral r - z Meshes,'' J. Comput. Phys., 144, 17 (1998).

2

O. C. Zienkiewicz, The Finite Element Method, McGraw-Hill, London, 3rd Edition (1977).

3

G. C. Pomraning, Equations of Radiation Hydrodynamics, Volume 54 of the International Series of Monographs in Natural Philosophy, Edited by D. ter Haar, Pergamon Press, New York, (1973).

4

A. I. Shestakov, J. A. Harte, and D. S. Kershaw,``Solution of the Diffusion Equation by Finite Elements in Lagrangian Hydrodynamics Codes,'' J. Comp. Phys., 76, 385 (1988).

5

Milton E. Rose, ``Compact Volume Methods for the Diffusion Equation,'' J. Sci. Comput., 4, 261 (1989).

6

Todd Arbogast, Clint N. Dawson, Philip T. Keenan, Mary F. Wheeler, and Ivan Yotov, ``Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry,'' SIAM J. Sci. Comput., 18, 1 (1997).

7

Gene H. Golub and Charles F. Van Loan, Matrix Computations, second edition, The Johns Hopkins University Press, Baltimore, (1989).

8

M. J. Shashkov and S. Steinberg, ``Solving Diffusion Equations with Rough Coefficients in Rough Grids,'' J. Comput. Phys., 129, 383 (1996).

9

Robert D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, Interscience Publishers, New York (1967).

10

A. Weiser and M. F. Wheeler, ``On Convergence of Block-Centered Finite Differences for Elliptic Problems,'' SIAM J. Numer. Anal., 25, 351 (1988).

11

J. E. Dendy, Jr., ``Black Box Multigrid,'' J. Comput. Phys. 48, 366 (1982).

12

J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Springer-Verlag, New York, (1980).

13

D. S. Kershaw, ``Differencing of the Diffusion Equation in Lagrangian Hydrodynamics Codes,'' J. Comput. Phys., 39, 375 (1981).

14

J. E. Dendy, Jr., ``Two Multigrid Methods for Three-Dimensional Problems with Discontinuous and Anisotropic Coefficients,'' SIAM Sci. Stat. Comp., 8, 673 (1987).