Robustness of a Characteristic Finite Element Scheme of Second Order in Time Increment

Robustness of a Characteristic Finite Element Scheme of Second Order in Time Increment
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DOI：
10.1007/3-540-31801-1_22
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发表时间：
2006
期刊：
--
影响因子：
--
通讯作者：
M. Tabata;S. Fujima
M. Tabata;S. Fujima
中科院分区：
其他
文献类型：
--
作者：
M. Tabata;S. Fujima

文献摘要

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4 结束语在使用特征有限元方法时，必须高度重视数值积分带来的误差。与一阶格式相比，二阶格式对于数值积分误差具有鲁棒性，这一点已被数值结果所证实。我们还对稳健性给出了粗略的解释。在温和的数值积分条件下，我们可以证明二阶格式对于数值积分是稳定的。详细的讨论和稳定性的完整证明将在即将发表的论文中提出。
4 Concluding RemarksIn using the characteristic finite element method we have to pay much attention to the errors caused by numerical integration. Compared to the first order scheme, the second order scheme is robust with respect to the numerical integration error, which has been recognized by numerical results. We have also given a rough explanation for the robustness. Under a mild condition on the numerical integration we can show that the second order scheme is stable with the numerical integration. A detail discussion and a complete proof of the stability will be presented in the forthcoming paper.