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 ...

This approach is more suited for use with adaptive mesh-refinement and order-variation techniques than other problem-dependent methods. Quadrature rules, developed for two-point convection-diffusion ...

In the p-version of the finite element method, the triangulation is fixed and the degree p, of the piecewise polynomial approximation, is progressively increased until some desired level of precision ...

In advanced engineering circles, the finite element method — or, more commonly, finite element analysis — is a real staple. With the advent of more powerful home computers, though, even… ...

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.