论文标题
通过混合来构建多项式保存科链扩展
Construction of polynomial preserving cochain extensions by blending
论文作者
论文摘要
构建多项式保存的经典技术，可在$ n $ sissyx的边界上定义的标量函数扩展到内部，是使用所谓的理性混合函数。本文的目的是通过融合到De Rham综合体来概括结构。更确切地说，我们定义了多项式保存扩展，这些扩展绘制了$ k $ forms在单纯框边界上定义的$ k $表单为内部定义的$ k $表单。此外，延伸是科链图，即它们用外部导数上下班。
A classical technique to construct polynomial preserving extensions of scalar functions defined on the boundary of an $n$ simplex to the interior is to use so-called rational blending functions. The purpose of this paper is to generalize the construction by blending to the de Rham complex. More precisely, we define polynomial preserving extensions which map traces of $k$ forms defined on the boundary of the simplex to $k$ forms defined in the interior. Furthermore, the extensions are cochain maps, i.e., they commute with the exterior derivative.
