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 ...

Course Description: This course provides a practical introduction to the Finite Element Method (FEM), with an emphasis on hands-on implementation using Python. It covers the basic theoretical concepts ...

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 ...

With increasing freshwater demand and rising water scarcity, reverse osmosis (RO) has become a key method for seawater ...

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 ...

What is Finite Element Analysis? The finite element analysis is an extensively used method for computationally solving partial differential equations in technology and mathematics. The classic domains ...

Finite Element Methods for solving problems with material and geometric nonlinearities; transient dynamics analysis with explicit and implicit time integration, partitioned methods, and stability; ...

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 ...

Mathematics of Computation, Vol. 35, No. 152 (Oct., 1980), pp. 1063-1079 (17 pages) Let $\Omega^c$ be the complementary of a bounded regular domain in $R^2$ of ...