A second order characteristic finite element scheme for convection-diffusion problems

A second order characteristic finite element scheme for convection-diffusion problems
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DOI:
10.1007/s002110100364
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发表时间:
2002-07
影响因子:
2.1
通讯作者:
H. Rui;M. Tabata
H. Rui;M. Tabata
中科院分区:
数学2区
文献类型:
--
作者:
H. Rui;M. Tabata

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提出了一种新的特征有限元格式,它具有时间增量二阶精度、对称且无条件稳定。最优误差估计在理论框架中得到证明。给出了两个例子的数值结果,显示了该方案的优点。
A new characteristic finite element scheme is presented for It is of second order accuracy in time increment, symmetric, and unconditionally stable. Optimal error estimates are proved in the framework of-theory. Numerical results are presented for two examples, which show the advantage of the scheme.