Partial Differential Equation Toolbox

References

[1] Bank, Randolph E., PLTMG: A Software Package for Solving Elliptic Partial Differential Equations, User's Guide 6.0, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1990.

[2] Dahlquist, Germund, and Björk, Åke, Numerical Methods, 2nd edition, 1995, in print.

[3] Golub, Gene H., and Charles F. Van Loan, Matrix Computations, 2nd edition, John Hopkins University Press, Baltimore, MD, 1989.

[4] George, P.L., Automatic Mesh Generation--Application to Finite Element Methods, Wiley, 1991.

[5] Johnson, C., Numerical Solution of Partial Differential Equations by the Finite Element Method, Studentlitteratur, Lund, Sweden, 1987.

[6] Johnson, C., and Eriksson, K., Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem, SIAM J. Numer. Anal, 28, (1991), pp. 43-77.

[7] Saad, Yousef, Variations on Arnoldi's Method for Computing Eigenelements of Large Unsymmetric Matrices, Linear Algebra and its Applications, Vol 34, 1980, pp. 269-295.

[8] Rosenberg, I.G., and F. Stenger, A lower bound on the angles of triangles constructed by bisecting the longest side, Math. Comp. 29 (1975), pp 390-395.

[9] Strang, Gilbert, Introduction to Applied Mathematics, Wellesley-Cambridge Press, Cambridge, MA, 1986.

[10] Strang, Gilbert, and Fix, George, An Analysis of the Finite Element Method, Prentice-Hall Englewoood Cliffs, N.J., USA, 1973.

Fast Solution of Poisson's Equation

Function Reference