olution of poisson and laplace equations by quadrilateral quadrature element

The Quadrature Element Method (QEM) is a new concept in numerical methods which was introduced only recently. A quadrilateral quadrature element is developed in the paper and applied to the solution of two dimensional potential problems governed by Poisson or Laplace equations. The results of three examples are in good agreement with the available solutions. It is shown that the present quadrilateral quadrature element is very efficient and effective. Most significantly, it can be employed to solve differential equations of physical problems with irregular geometry and complex boundary conditions, i; 1998 Elsevier Science Ltd All rights reserved