TY - JOUR
T1 - Mixed finite elements for the Richards' equation : linearization procedure
AU - Pop, I.S.
AU - Radu, F.A.
AU - Knabner, P.
PY - 2004
Y1 - 2004
N2 - Abstract
We consider mixed finite element discretization for a class of degenerate parabolic problems including the Richards¿ equation. After regularization, time discretization is achieved by an Euler implicit scheme, while mixed finite elements are employed for the discretization in space. Based on the results obtained in (Radu et al. RANA Preprint 02-06, Eindhoven University of Technology, 2002), this paper considers a simple iterative scheme to solve the emerging nonlinear elliptic problems.
Author Keywords: Euler implicit scheme; Mixed finite elements; Regularization; Degenerate parabolic problems; Richards¿ equation; Linearization
AB - Abstract
We consider mixed finite element discretization for a class of degenerate parabolic problems including the Richards¿ equation. After regularization, time discretization is achieved by an Euler implicit scheme, while mixed finite elements are employed for the discretization in space. Based on the results obtained in (Radu et al. RANA Preprint 02-06, Eindhoven University of Technology, 2002), this paper considers a simple iterative scheme to solve the emerging nonlinear elliptic problems.
Author Keywords: Euler implicit scheme; Mixed finite elements; Regularization; Degenerate parabolic problems; Richards¿ equation; Linearization
U2 - 10.1016/j.cam.2003.04.008
DO - 10.1016/j.cam.2003.04.008
M3 - Article
SN - 0377-0427
VL - 168
SP - 365
EP - 373
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1-2
ER -