Finite Element Methods (FEM) have emerged as a pivotal computational tool in the simulation of incompressible flows and the Navier-Stokes equations. By discretising the domain, these techniques offer ...

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 ...

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 ...

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 the p-version of the finite element method the trial and test function spaces consist of piecewise polynomial functions of sufficiently high order on a coarse partition of the domain into a few ...

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...