论文标题

与局部线性独立的LR B-Splines的自适应改进:理论和应用

Adaptive refinement with locally linearly independent LR B-splines: Theory and applications

论文作者

Patrizi, Francesco, Manni, Carla, Pelosi, Francesca, Speleers, Hendrik

论文摘要

在本文中,我们描述了LR B-Splines的自适应改进策略。提出的策略可确保在每次迭代中,局部线性独立性的局部线性独立性。然后在两个应用中利用该属性:使用等地理学盖尔金方法的有效的准交叉插入方案的构建和椭圆问题的数值解决方案。

In this paper we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B-splines. This property is then exploited in two applications: the construction of efficient quasi-interpolation schemes and the numerical solution of elliptic problems using the isogeometric Galerkin method.

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