The 2-Lagrange Multiplier Method Applied to Nonlinear Transmission Problems for the Richards Equation in Heterogeneous Soil with Cross Points
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
We formulate the 2-Lagrange multiplier method for the Richards equation in heterogeneous soil. This allows a rigorous formulation of a discrete version of the Richards equation on subdomain decompositions involving cross points. Using Kirchhoff transformation, the individual subdomain problems can be transformed into convex minimization problems and solved efficiently using a monotone multigrid method. We discuss and compare weak formulations of the time-discrete and fully discretized multidomain problem. It is shown that in the case of two subdomains, when solving the resulting discrete system with a Richardson iteration, the new method is equivalent to a parallel version of the nonlinear Robin method for the Richards equation proposed in [H. Berninger and O. Sander, Comput. Vis. Sci., 13 (2010), pp. 187--205]. We give numerical results for a problem with realistic soil parameters.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | A2166-A2198 |
Fachzeitschrift | SIAM Journal of Scientific Computing |
Jahrgang | 36 |
Ausgabenummer | 5 |
Publikationsstatus | Veröffentlicht - 2014 |
Peer-Review-Status | Ja |
Extern publiziert | Ja |
Externe IDs
Scopus | 84911446778 |
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ORCID | /0000-0003-1093-6374/work/142250576 |