离散张量积 BGG 序列：样条曲线和有限元

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-04-17 DOI:10.1090/mcom/3969

F. Bonizzoni, Kaibo Hu, Guido Kanschat, Duygu Sap

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引用次数: 0

摘要

在本文中，我们通过使用一维片状多项式空间的张量乘结构（如样条空间和有限元空间），对任意维度立方网格上的伯恩斯坦-格尔芬-格尔芬图和复数进行了系统离散化。我们以 Hessian、弹性和 div div \operatorname {div}\operatorname {div} 复数的构造为例，演示了我们的构造。

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Discrete tensor product BGG sequences: Splines and finite elements

In this paper, we provide a systematic discretization of the Bernstein-Gelfand-Gelfand diagrams and complexes over cubical meshes in arbitrary dimension via the use of tensor product structures of one-dimensional piecewise-polynomial spaces, such as spline and finite element spaces. We demonstrate the construction of the Hessian, the elasticity, and div ⁡ div \operatorname {div}\operatorname {div} complexes as examples for our construction.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464