Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations
Continuous interior penalty hp-finite element methods for advection and advection-diffusion equations
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DOI：
10.1090/s0025-5718-07-01951-5
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发表时间：
2007-01
期刊：
影响因子：
--
通讯作者：
E. Burman;A. Ern
中科院分区：
文献类型：
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作者：
E. Burman;A. Ern
介绍了一种连续的内部惩罚hp有限元方法，该方法可以惩罚离散解在网格界面上的跳跃。误差估计获得一阶和对流主导的运输运营商。分析依赖于三个技术成果，是独立的利益：一个HP-逆迹不等式，一个本地连续间断HP-插值结果，和HP-误差估计连续L2-正交投影。
A continuous interior penalty hp-finite element method that penalizes the jump of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for first-order and advection-dominated transport operators. The analysis relies on three technical results that are of independent interest: an hp- inverse trace inequality, a local discontinuous to continuous hp-interpolation result, and hp-error estimates for continuous L2-orthogonal projections.