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中文摘要：
针对弹性动力学问题从更自然的二阶双曲型方程出发,构造了同时求解位移和速度的一种时间间断、空间连续的混合间断时空有限元格式.其次,利用有限差分和有限元方法相结合的技巧分析了格式的稳定性及收敛性,并得到了时间最大模、空间应变能量、动能以及总机械能模最优误差估计.
英文摘要：
Mixed space-time discontinuous Galerkin method,discontinuous in time and continuous in space,for elastodynamics is developed based on the more natural framework of second order hyperbolic equations.The displacement and velocity are solved simultaneously by the method.Then,the stability and convergence of the scheme are analyzed by using the technique of combination of finite difference and finite element methods.The optimal error estimates in time maximum norm and space strain energy,kinetic energy and total mechanical energy norms are obtained.
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