著者

Chi-Kyung KIM

出版者

The Japan Society of Mechanical Engineers

雑誌

JSME International Journal Series A Solid Mechanics and Material Engineering (ISSN:13447912)

巻号頁・発行日

vol.46, no.2, pp.103-108, 2003 (Released:2004-06-25)

参考文献数

11

被引用文献数

1 1

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The time-discontinuous Galerkin method based upon using a finite element formulation in time is derived. This method is to use the weighted residuals to treat space and time in a uniform manner and thus integrating both the spatial and temporal variations of the unknown quantities simultaneously. The approximations are continuous with respect to the space variables for each fixed time, but they admit discontinuities with respect to the time variable at each time step. Interpolation functions and weighting functions are taken to be discontinuous across inter-element boundary. This method generates a complete space-time finite element discretization which eliminates the need for any additional ordinary differential equation solver to resolve the temporal behavior of the problem. No significant instability problems and much more rapid convergence to the analytical solution were experienced in this approach than the semidiscretization method.