Open AccessLeast-squares method for the diffraction problem of strip gratings
Author(s) -
Huimin Li,
Yujie Wang,
Enxi Zheng
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1544/1/012015
Subject(s) - finite element method , least squares function approximation , polynomial , mathematics , focus (optics) , convergence (economics) , diffraction , mathematical analysis , non linear least squares , algorithm , optics , physics , estimation theory , statistics , estimator , economics , thermodynamics , economic growth
In this paper, we focus on the diffraction problem of periodic strip gratings. A least-squares non-polynomial finite element method is proposed for this problem. Firstly, the computational domain is decomposed. Secondly, a local approximation space is defined by using non-polynomial functions in every subdomain. Then the least-squares finite element method is derived. Finally, numerical results are reported to show the effectiveness and convergence of the least-squares non-polynomial finite element method.