The finite element method is a powerful numerical technique that is used in all major engineering industries - in this video we'll explore how it works. We'll look at why it's useful to split the body ...

One of the common classes of equations that is encountered in several branches of science is partial differential equations. So in this article, I look at a software package called FreeFem++ that is ...

The Helmholtz equation is a fundamental partial differential equation that underpins the analysis of wave propagation, acoustic scattering and electromagnetic phenomena. Its numerical solution is ...

Methods for treating material and geometric nonlinearities by finite elements; transient analysis: explicit and implicit time integration, partitioned methods, and stability; hybrid and mixed elements ...

Princeton's Dr. Jean H. Prévost and Serguei Bagrianski have released a book with World Scientific, entitled, An Introduction to Matrix Structural Analysis and Finite Element Methods. Based on a course ...

SIAM Journal on Numerical Analysis, Vol. 48, No. 4 (2010), pp. 1281-1312 (32 pages) We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered ...

This paper studies mixed finite element approximations of the viscosity solution to the Dirichlet problem for the fully nonlinear Monge–Ampère equation det (D²u⁰) = f (> 0) based on the vanishing ...