TITLE:
Convergence and Error of Some Numerical Methods for Solving a Convection-Diffusion Problem
AUTHORS:
Gabriela Nut, Ioana Chiorean, Petru Blaga
KEYWORDS:
Time Dependent Convection Diffusion; Multigrid Method; Finite Element and Finite Differences Discretization
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.5A,
May
27,
2013
ABSTRACT: We use the local Fourier analysis to determine the properties of the multigrid method when used in modeling the skin penetration of a drug. The analyses of these properties can be very in designing an efficient structure of the multigrid method and in comparing the element and finite difference discretization techniques. After the theoretical results obtained, we also present some numerical results for a problem for which the solution is known.