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Weights for moments’ geometrical localization: a canonical isomorphism
Advances in Computational Mathematics ( IF 1.7 ) Pub Date : 2024-08-06 , DOI: 10.1007/s10444-024-10183-y Ana Alonso Rodríguez , Jessika Camaño , Eduardo De Los Santos , Francesca Rapetti
中文翻译:
矩几何定位的权重:规范同构
更新日期:2024-08-06
Advances in Computational Mathematics ( IF 1.7 ) Pub Date : 2024-08-06 , DOI: 10.1007/s10444-024-10183-y Ana Alonso Rodríguez , Jessika Camaño , Eduardo De Los Santos , Francesca Rapetti
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.
中文翻译:
矩几何定位的权重:规范同构
本文涉及高阶惠特尼形式。我们定义两组自由度之间的规范同构。这允许在简单网格的元素上对经典自由度(力矩)进行几何定位。通过这样的定位,甚至可以将场与其潜力相关联的图结构关联起来,甚至与矩相关联。