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 ...

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 ...

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 ...

Isogeometric analysis (IGA) has emerged as a transformative computational technique by seamlessly integrating Computer-Aided Design (CAD) and Finite Element Analysis (FEA). This approach utilises ...

We develop a class of mixed finite element schemes for stationary magnetohydrodynamics (MHD) models, using the magnetic field 𝐵 and the current density 𝑗 as discretization variables. We show that ...

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 ...

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