Polygonal finite element: A comparison of the stiffness matrix integration methods
作者：
Highlights：
• Numerical integration of polygonal finite elements is not well-established.
• Two new quadrature rules were proposed and compared with existing methods.
• Performances were evaluated for stiffness matrix and plain polynomial integrations.
• The new rule exhibited the best performance for all test cases.
• This new technique is a Gaussian quadrature rule over convex polygons.
摘要
•Numerical integration of polygonal finite elements is not well-established.•Two new quadrature rules were proposed and compared with existing methods.•Performances were evaluated for stiffness matrix and plain polynomial integrations.•The new rule exhibited the best performance for all test cases.•This new technique is a Gaussian quadrature rule over convex polygons.
论文关键词：Polygonal finite element,Numerical integration,Gaussian quadrature,Rational polynomial,Rational function
论文评审过程：Received 16 March 2019, Revised 29 December 2019, Accepted 25 January 2020, Available online 18 February 2020, Version of Record 18 February 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125089
