Polynomial preserving recovery for anisotropic and irregular grids
Polynomial preserving recovery for anisotropic and irregular grids
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发表时间：
2004-03
影响因子：
1.8
通讯作者：
Zhimin Zhang
中科院分区：
文献类型：
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作者：
Zhimin Zhang
讨论了一种新的保多项式梯度恢复技术的性质。实践和理论问题都得到了解决。特别考虑了各向异性网格下的有界性。对于偶数阶有限元空间，在平移不变网格下证明了超收敛性;对于线性元空间，在Delaunay三角剖分生成的非结构网格下证明了超收敛性.数学科目分类：65 N30、65 N15
Some properties of a newly developed polynomial preserving gradient recovery technique are discussed. Both practical and theoretical issues are addressed. Bounded-ness property is considered especially under anisotropic grids. For even-order finite element space, an ultra-convergence property is established under translation invariant meshes; for linear element, a superconvergence result is proven for unstructured grids generated by the Delaunay triangulation. Mathematics subject classification: 65N30, 65N15