JSME International Journal Series B Fluids and Thermal Engineering
Online ISSN : 1347-5371
Print ISSN : 1340-8054
ISSN-L : 1340-8054
CFD
On the Numerical Computation for Solving the Two-Dimensional Parabolic Equations by Space-Time Finite Element Method
Chi-Kyung KIM
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2001 Volume 44 Issue 3 Pages 434-438

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Abstract

A space-time finite element method was presented for solving time-dependent and two-dimensional heat conduction problems. Linear hexadedron elements in a space-time 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.

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© 2001 by The Japan Society of Mechanical Engineers
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