On the Numerical Computation for Solving the Two-Dimensional Parabolic Equations by Space-Time Finite Element Method

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概要

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• A space-time finite element method was presented for solving time-dependent and two-dimensional heat conduction problems. Linear hexadedron elements in a spacetime domain were used as the finite elements. In this paper we present a discretization technique in which finite element approximations are used in time and space simultaneously for a relatively large time period called a time slab. The weighted residual process is used to formulate a finite element method for a space-time domain based upon the continuous Galerkin method. Numerical illustrations have indicated that the unstructured space-time algorithm provides more rapid convergence to the analytical solutions than the usual finite element analysis with discretization in space only.

• 一般社団法人日本機械学会の論文
• 2001-08-15

著者

• Kim Chi

  Faculty Safety Engineering Department University Of Inchon

関連論文

• On the Numerical Computation for Solving the Two-Dimensional Parabolic Equations by Space-Time Finite Element Method

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