First-order System Least Squares on Curved Boundaries: Higher-order Raviart-Thomas Elements
First-order System Least Squares on Curved Boundaries: Higher-order Raviart-Thomas Elements
复制标题
曲线边界上的一阶系统最小二乘法：高阶 Raviart-Thomas 单元
DOI：
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发表时间：
2014
影响因子：
2.9
通讯作者：
G. Starke
中科院分区：
文献类型：
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作者：
F. Bertrand;Steffen Münzenmaier;G. Starke
在本文中，我们的调查的有限元逼近曲线边界上使用Raviart-托马斯空间的背景下，一阶系统最小二乘法是继续和扩展到高阶的情况下。它示出的最佳顺序的收敛保留从最低阶的情况下，如果使用参数版本的Raviart-托马斯元素。这说明了数值椭圆边值问题，涉及圆形边界曲线。
With this paper, our investigation of the finite element approximation on curved boundaries using Raviart--Thomas spaces in the context of first-order system least squares methods is continued and extended to the higher-order case. It is shown that the optimal order of convergence is retained from the lowest-order case if a parametric version of Raviart--Thomas elements is used. This is illustrated numerically for an elliptic boundary value problem involving a circular boundary curve.