Application Of Superconvergence Based On Convolution To Contamination By Nuclear Waste-disposal In Porous Media

In this paper,some numerical methods are proposed and analyzed for the incompressible flow for contamination from nuclear waste in porous media in a periodic setting.The pressure-velocity is approximated by a M-FEM(mixed finite element Method) over a Raviart-Thomas space of index k over a uniform grid in these numerical methods.The concentration of brine and radionuclides and the temperature of the fluid arc approximat-ed by the standard Galerkin method and the MMOC(Modified Method Of Characteristics) respectively.in the process of which the enhanced veloci-ty relying on the convolution with the Bramble-Schatz kernel is used in the calculation of the coefficients in both procedures.At the chapter5.we will see the error of the concentration and the temperature,as measured in L2(Ω.).isO(h2pk+2),which reflects the supcrconvcrgencc of the velocity approx-imation. Compared with the conventional constraints of space-time parame-ters in the full-discrete procedure, the constraints in this paper is improved essentially.