Finite element methods (FEM) have emerged as a pivotal class of numerical techniques for solving the Navier–Stokes equations, the mathematical foundation for modelling fluid flow. These methods ...

Finite element methods (FEM) have become indispensable tools for simulating wave propagation phenomena across a range of applications, from acoustics and electromagnetics to earthquake modelling. At ...

Development of finite elements from variational principles and application to static stress analysis. Introduction to techniques for transient and generalized field problems.

We develop a framework for applying high-order finite element methods to singularly-perturbed elliptic and parabolic differential systems that utilizes special quadrature rules to confine spurious ...

In 2013, Boeing rolled out the first 787-9 Dreamliner, the newest member of the super-efficient 787 family. In order to power this massive aircraft, Rolls-Royce designed the state of the art Trent ...

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 ...