One popular method of solving these types of equations, and the one FreeFem++ uses, is the finite-element method. The basic idea with this method is to take the entire problem domain and subdivide it ...

An Introduction to Matrix Structural Analysis and Finite Element Methods is designed to be accessible to anyone with a basic understanding of statics, calculus, linear algebra, and coding.

Junping Wang, Xiaoshen Wang, Xiu Ye, FINITE ELEMENT METHODS FOR THE NAVIER-STOKES EQUATIONS BY H (div) ELEMENTS, Journal of Computational Mathematics, Vol. 26, No. 3, SPECIAL ISSUE DEDICATED TO THE ...

A finite element method is developed for approximating the solution of the Dirichlet problem for the biharmonic operator, as a canonical example of a higher order elliptic boundary value problem. The ...