Weights for moments’ geometrical localization: a canonical isomorphism

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Advances in Computational Mathematics Pub Date : 2024-08-06 DOI:10.1007/s10444-024-10183-y

Ana Alonso Rodríguez, Jessika Camaño, Eduardo De Los Santos, Francesca Rapetti

引用次数: 0

Abstract

This paper deals with high order Whitney forms. We define a canonical isomorphism between two sets of degrees of freedom. This allows to geometrically localize the classical degrees of freedom, the moments, over the elements of a simplicial mesh. With such a localization, it is thus possible to associate, even with moments, a graph structure relating a field with its potential.

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力矩几何定位的权重：典型同构

本文涉及高阶惠特尼形式。我们定义了两组自由度之间的典型同构。这使得经典自由度--矩--可以在简单网格的元素上进行几何局部化。有了这种局部化，就有可能将一个场与其势相关联的图结构（甚至与力矩相关联）联系起来。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Computational Mathematics 数学-应用数学

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

3 months

期刊介绍： Advances in Computational Mathematics publishes high quality, accessible and original articles at the forefront of computational and applied mathematics, with a clear potential for impact across the sciences. The journal emphasizes three core areas: approximation theory and computational geometry; numerical analysis, modelling and simulation; imaging, signal processing and data analysis. This journal welcomes papers that are accessible to a broad audience in the mathematical sciences and that show either an advance in computational methodology or a novel scientific application area, or both. Methods papers should rely on rigorous analysis and/or convincing numerical studies.