Computers & Mathematics with Applications ( IF 2.9 ) Pub Date : 2020-09-28 , DOI: 10.1016/j.camwa.2020.09.011 W.G. Facco , R.C. Silva , K.F.O. Santos , E.J. Silva , A.S. Moura , R.R. Saldanha
In this paper we propose a new distribution of Gaussian points to compute the weak form integrals of the Generalized Finite Element Method (GFEM). The relevance of this new distribution is the possibility of evaluating the integrals of oscillatory functions inside the reference triangle in an alternate way. A simple scheme of relocation of the quadrature points allows to improve the efficacy of the method. A wave propagation problem is solved with the proposed technique and its performance is compared to conventional and other existing proposals. In addition, we propose a new distribution of Gaussian points to the tetrahedral reference element
中文翻译:
广义有限元方法中参考三角形的高斯高斯积的替代提议
在本文中,我们提出了一种新的高斯点分布,以计算广义有限元方法(GFEM)的弱形式积分。这种新分布的相关性是可以以替代方式评估参考三角形内部的振荡函数积分的可能性。正交点重定位的简单方案可以提高该方法的效率。利用所提出的技术解决了波传播问题,并将其性能与常规和其他现有提议进行了比较。此外,我们建议将高斯点分配给四面体参考元素