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Mixed time discontinuous space-time finite element method for convection diffusion equations
Authors:Yang Liu  Hong Li  Siriguleng He
Institution:School of Mathematical Sciences, Inner Mongolia University, Huhhot 010021, P. R. China
Abstract:A mixed time discontinuous space-time finite element scheme for second-order convection diffusion problems is constructed and analyzed. Order of the equation is lowered by the mixed finite element method. The low order equation is discretized with a space-time finite element method, continuous in space but discontinuous in time. Stability, existence, uniqueness and convergence of the approximate solutions are proved. Numerical results are presented to illustrate efficiency of the proposed method.
Keywords:convection diffusion equations  mixed finite element method  time discon-tinuous space-time finite element method  convergence
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