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26 p, 1.1 MB A mixed finite element method for nonlinear diffusion equations / Burger, Martin (Institut für Numerische und Angewandte Mathematik (Munster, Alemanya)) ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Wolfram, Marie-Therese (University of Cambridge. Department of Applied Mathematics and Theoretical Physics) ; Centre de Recerca Matemàtica
We propose a mixed finite element method for a class of nonlinear diffusion equations, which is based on their interpretation as gradient flows in optimal transportation metrics. We introduce an appropriate linearization of the optimal transport problem, which leads to a mixed symmetric formulation. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 891)  
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