论文标题
修剪二线空间的扩展运算符
Extension Operators for Trimmed Spline Spaces
论文作者
论文摘要
我们开发了一个离散的扩展运算符，用于修剪的样条线空间，该空间由$ k $连续导数的分段多项式函数组成。该结构基于来自相邻元素的多项式扩展以及投影回到样条空间。我们证明了扩展运算符的稳定性和近似结果。最后，我们说明了如何使用扩展操作员为椭圆模型问题构建稳定的剪切等几何方法。
We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree $p$ with $k$ continuous derivatives. The construction is based on polynomial extension from neighboring elements together with projection back into the spline space. We prove stability and approximation results for the extension operator. Finally, we illustrate how we can use the extension operator to construct a stable cut isogeometric method for an elliptic model problem.
