APPLICATION OF DISCRETE FUNCTIONAL ANALYSIS TO THE CONVERGENCE STUDY OF A FINITE VOLUME SCHEME FOR NONLINEAR ELLIPTIC/PARABOLIC PROBLEMS

Prof. R. Eymard (Université de Marne-la-Vallée, France)

In the continuous setting, the use of Minty and Leray-Lions tricks are well-known for getting the existence of a solution to some nonlinear elliptic problems, such as the p-Laplacian diffusion problem. We show how these tools have a discrete counterpart, applicable in two settings (p-Laplacian, regularized mean curvature motion level set equation).