The Effect of Numerical Integration of Quadrilateral Isoparametric Element Approximation to the Second Order Elliptic Problems
Feiran Zhang · Mathematica Applicata · 2010
In this paper,we consider the quadrilateral isoparametric element approximation to the second-order elliptic problems in Lipschitz domain with curved boundary.For easy computations of elementary stiffness matrices and load vectors,we also construct some of numerical integration format,and a formula with only two sampling points is given.It is the optimal numerical integration formula over a quadrilateral mesh with the least sampling points up to now.