New anisotropic a priori error estimates
New anisotropic a priori error estimates
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DOI：
10.1007/s002110100273
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发表时间：
2001-10
影响因子：
2.1
通讯作者：
L. Formaggia;S. Perotto
中科院分区：
文献类型：
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作者：
L. Formaggia;S. Perotto
本文证明了线性有限元的插值误差的先验各向异性估计.利用来自参考元件的关于映射的全部信息来分离来自不同方向的对元件误差的贡献。这种新的误差估计不需要“最大角度条件”。该分析已经进行了2D的情况下，但可以扩展到三维。数值实验验证了我们的理论结果。
We prove a priori anisotropic estimates for theandinterpolation error on linear finite elements. The full information about the mapping from a reference element is employed to separate the contribution to the elemental error coming from different directions. This newerror estimate does not require the “maximal angle condition”. The analysis has been carried out for the 2D case, but may be extended to three dimensions. Numerical experiments have been carried out to test our theoretical results.