The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

extended finite element method (XFEM), is a numerical technique based on the generalized finite element method (GFEM) and the partition of unity method (PUM)...

common approaches to the numerical solution of PDE, along with finite element methods. For a n-times differentiable function, by Taylor's theorem the...

The finite element method (FEM) is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it...

In numerical analysis, the mixed finite element method, is a type of finite element method in which extra fields to be solved are introduced during the...

Galerkin methods are: the Galerkin method of weighted residuals, the most common method of calculating the global stiffness matrix in the finite element method...

contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations...

This is a list of notable software packages that implement the finite element method for solving partial differential equations. This table is contributed...

nonconforming finite element, mixed finite element, mimetic finite difference...) inherit these convergence properties. The finite-volume method is a numerical...

equations, a topic in mathematics, the spectral element method (SEM) is a formulation of the finite element method (FEM) that uses high-degree piecewise polynomials...