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Numerical modeling method and system for singular vector physical quantity, and corresponding software

机译:奇异矢量物理量的数值建模方法和系统以及相应的软件

摘要

Numerical process to model singular vector physical quantities associated to at least a body (E), with possible local singular behavior of the physical quantities that may assume unlimited values in the singularity region. According to this invention this process is characterized by the following operations: to scan ( 10 ) the geometry of the singularity region and to plot it with a reference frame; to subdivide the singularity region into two dimensional domains, usually curvilinear; and; to describe with reference to these domains the properties of at least a physical quantity directly in the parent domain, deriving the singular curl conforming basis functions and the singular divergence conforming basis functions for meshed domains with (T, TE, TV) triangles and (Q) quadrilaterals, usually curvilinear. Besides this process allows for the definition of particular set of singular basis functions for FEM and MoM applications.
机译:对与至少一个物体(E)关联的奇异矢量物理量进行建模的数值过程,其中物理量可能存在局部奇异行为,这些奇异行为在奇异性区域中可能采用无穷大的值。根据本发明,该过程的特征在于以下操作:扫描(10)奇异区域的几何形状并用参考框架对其进行绘制;以及将奇异区域细分为通常为曲线的二维域;和;参照这些域描述直接在父域中的至少一个物理量的属性,派生具有(T,TE,TV)三角形和(Q的网格域)的奇异卷曲符合基函数和奇异散度符合基函数)的四边形,通常为曲线形。此外,此过程还允许定义FEM和MoM应用程序的特定一组奇异基函数。

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