On the numerical computation for solving the two-dimensional parabolic equations by space-time finite element method

A space-time finite element method was presented for solving time-dependent and two-dimensional heat conduction problems. Linear hexadedron elements i n a spacetime domain were used as the finite elements. In this paper we pre sent a discretization technique in which finite element approximations are used in time and space simultaneously for a relatively large time period ca lled a time slab. The weighted residual process is used to formulate a fini te element method-for a space-time domain based upon the continuous Galerki n method. Numerical illustrations have indicated that the unstructured spac e-time algorithm provides more rapid convergence to-the analytical solution s than the usual finite element analysis with discretization in space only.