Fully discrete finite element approaches for time-dependent Maxwell's equations

Fully discrete finite element approaches for time-dependent Maxwell's equations
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DOI:
10.1007/s002110050417
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发表时间:
1999-04
影响因子:
2.1
通讯作者:
P. Ciarlet;J. Zou
P. Ciarlet;J. Zou
中科院分区:
数学2区
文献类型:
--
作者:
P. Ciarlet;J. Zou

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采用全离散有限元方法对三维多面体区域内含时麦克斯韦方程导出的电场方程进行了数值模拟。得到了一般Lipschitz多面体区域的最优能量范数误差估计。得到了凸多面体区域的最优范数误差估计。
A fully discrete finite element method is used to approximate the electric field equation derived from time-dependent Maxwell's equations in three dimensional polyhedral domains. Optimal energy-norm error estimates are achieved for general Lipschitz polyhedral domains. Optimal-norm error estimates are obtained for convex polyhedral domains.