Bause M, Knabner P (2004)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2004
Publisher: Elsevier
Book Volume: 27
Pages Range: 565-581
Journal Issue: 6
DOI: 10.1016/j.advwatres.2004.03.005
We present adaptive mixed hybrid finite element discretizations of the Richards equation, a nonlinear parabolic partial differential equation modeling the flow of water into a variably saturated porous medium. The approach simultaneously constructs approximations of the flux and the pressure head in Raviart-Thomas spaces. The resulting nonlinear systems of equations are solved by a Newton method. For the linear problems of the Newton iteration a multigrid algorithm is used. We consider two different kinds of error indicators for space adaptive grid refinement: superconvergence and residual based indicators. They can be calculated easily by means of the available finite element approximations. This seems attractive for computations since no additional (sub-)problems have to be solved. Computational experiments conducted for realistic water table recharge problems illustrate the effectiveness and robustness of the approach. © 2004 Elsevier Ltd. All rights reserved.
APA:
Bause, M., & Knabner, P. (2004). Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods. Advances in Water Resources, 27(6), 565-581. https://dx.doi.org/10.1016/j.advwatres.2004.03.005
MLA:
Bause, Markus, and Peter Knabner. "Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods." Advances in Water Resources 27.6 (2004): 565-581.
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