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Application of the Unstructured Finite Element to Longitudinal Vibration Analysis  

Kim Chi-Kyung (인천대학교 안전공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.19, no.1, 2006 , pp. 39-46 More about this Journal
Abstract
This paper analyzes the continuous Galerkin method for the space-time discretization of wave equation. The method of space-time finite elements enables the simple solution than the usual finite element analysis with discretization in space only. 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. Instability is caused by a too large time step in successive time steps. A stability problem is described and some investigations for chosen types of rectangular space-time finite elements are carried out. Some numerical examples prove the efficiency of the described method under determined limitations.
Keywords
finite element method; Gaierkin method; weighted residual; space-time; stability; wave equation; longitudinal vibration;
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