Publication Details |
| Category | Text Publication |
| Reference Category | Journals |
| DOI | 10.1002/pamm.200810523 |
| Title (Primary) | Error estimates for mixed finite element discretization of the Richards equation |
| Author | Radu, F.A. |
| Source Titel | Proceedings in Applied Mathematics and Mechanics |
| Year | 2008 |
| Department | CHS |
| Volume | 8 |
| Issue | 1 |
| Page From | 10523 |
| Page To | 10524 |
| Language | englisch |
| Abstract | We present a numerical scheme based on the mixed finite element method (MFEM) for the Richards equation, a nonlinear, degenerate parabolic equation. Due to the degeneracy, the solution of the equation has low regularity and therefore only lower order finite elements are recommended. We review the main posibilities for proving the convergence of the scheme. Especially for the case without using the Kirchhoff transformation a new result is given. We also briefly discuss how to solve the nonlinear fully discrete problems appearing at each time step and refer to papers where the convergence of these methods is rigurously studied. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Persistent UFZ Identifier | https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=1330 |
| Radu, F.A. (2008): Error estimates for mixed finite element discretization of the Richards equation Proceedings in Applied Mathematics and Mechanics 8 (1), 10523 - 10524 10.1002/pamm.200810523 |
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