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Monday, April 08, 201310:00 AM - 11:00 AMCNLS Conference Room (TA-3, Bldg 1690) Seminar New Discontinuous Garerkin Method for Diffusion Equations Prof. Y. KuznetsovDepartament of Mathematics, University of Houston In this presentation, we discuss a new discretization method for the diffusion equations
on general polygonal/polyhedral meshes. The method is based on special approximations of the
solution fluxes by piecewise constant finite element vector- functions. The FE vector-functions are
conforming on the interfaces between the mesh cells and discontinuous in the interior of the mesh
cells. In several important practical cases we derive a simple error estimate for the fluxes. In the final
part of the presentation we discuss some application of the method in geosciences and give
numerical results for a number of test problems.
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