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Finite Element Solution of Ordinary Differential Equation by the Discontinuous Galerkin Method

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Finite Element Solution of Ordinary Differential Equation
by the Discontinuous Galerkin Method
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    ¡¤ ??? : Kim Chi kyung

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    •régÛÆJ¨¬? Œ¦?? ²»ßB.ÐÔ? ? ? •rég²»ßBÀmGalerkin ·½?? ÓÐÏÞ?ËØ·¨?? ½âÎö???. ? ·½·¨?
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    A time-discontinuous Galerkin method based upon using a finite element formulation in time has
    evolved. This method, working from the differential equation viewpoint, is different from those which
    have been generally used. They admit discontinuities with respect to the time variable at each time
    step. ln particular, the elements can be chosen arbitrarily at each time step with no connection with
    the elements corresponding to the previous step. lnterpolation functions and weighting functions are
    taken to be discontinuous across inter-element boundaries. These methods lead to a unconditional
    stable higher-order accurate ordinary differential equation solver.

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