Schneid E, Knabner P, Radu AF (2004)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2004
Publisher: Springer Verlag (Germany)
Book Volume: 98
Pages Range: 353-370
Journal Issue: 2
DOI: 10.1007/s00211-003-0509-2
A mixed finite element discretization is applied to Richards' equation, a nonlinear, possibly degenerate parabolic partial differential equation modeling water flow through porous medium. The equation is considered in its pressure formulation and includes both variably and fully saturated flow regime. Characteristic for such problems is the lack in regularity of the solution. To handle this we use a time-integrated scheme. We analyze the scheme and present error estimates showing its convergence.
APA:
Schneid, E., Knabner, P., & Radu, A.F. (2004). A priori error estimates for a mixed finite element discretization of the Richards' equation. Numerische Mathematik, 98(2), 353-370. https://doi.org/10.1007/s00211-003-0509-2
MLA:
Schneid, Eckhard, Peter Knabner, and Adrian Florin Radu. "A priori error estimates for a mixed finite element discretization of the Richards' equation." Numerische Mathematik 98.2 (2004): 353-370.
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