Error estimates for a time discretization method for the Richards' equation

Computational Geosciences

Volumn 6, Issue 2, 2002, Pages 141-160

  Pop, Iuliu Sorin ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Degenerate parabolic problem; Error estimates; Implicit scheme; Regularization; Richards' equation

Indexed keywords

ERROR; FLOW MODELING; POROUS MEDIUM;

ERROR ANALYSIS; EULER FLOW; FLOW MODELING; KIRCHHOFF EQUATION; POROUS MEDIUM; RICHARDS EQUATION;

EID: 0036383180     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019936917350     Document Type: Article

References (32)

1. Quasilinear elliptic-parabolic differential equations
2. Mixed transform finite element method for solving the nonlinear equation for flow in variably saturated porous media
3. UG - A flexible software toolbox for solving partial differential equations
4. Mixed finite elements and Newton-type linearizations for the solution of Richards' equation, Internat
5. A general mass-conservative numerical solution for the unsaturated flow equation
6. Nonstationary filtration in partially saturated porous media
7. Error analysis of the enthalpy method for the Stefan problem
8. The finite volume method for Richards equation
9. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
10. Qualitative mathematical analysis of the Richards equation
11. On first and second order box schemes
12. Monotone flows in N-dimensional partially saturated porous media: Lipschitz continuity of the interface
13. Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes
14. Solution to strongly nonlinear parabolic problems by a linear approximation scheme
15. Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards equation
16. Termination of Newton/chord iterations and the method of lines
17. Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
18. A new model for predicting the hydraulic conductivity of unsaturated porous media
19. Approximation of degenerate parabolic problems using numerical integration
20. 1-contraction and uniqueness for quasilinear elliptic-parabolic equations
21. A numerical approach to degenerate parabolic equations
22. Cross-corelated random field generation with the direct Fourier transform method
23. Diffusions-Reaktionsprobleme in ungesättigten porösen Medien
24. Numerical methods for diffusion-reaction-transport processes in unsaturated porous media
25. An evaluation of temporally adaptive transformation approaches for solving Richards' equation
26. Analysis of expanded mixed finite element methods for a nonlinear parabolic equation modeling flow into variably saturated porous media