Numerical Analysis of Mixed Covolume Methods

  • Hongxing Rui (Shandong University, Laboratory of Scientific and Engineering Computing, China + MPI MiS, Leipzig)
G3 10 (Lecture hall)


We consider the numerical analysis for mixed covolume methods--finite volume element methods with mixed element. We present the existence, convergence and superconvergence analysis for the mixed covolume method for elliptic problem with fully diffusion tensor. We also give the analysis of mixed covolume method for parabolic problem and upwind mixed covolume method for convection diffusion problem.