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 ...

SIAM Journal on Numerical Analysis, Vol. 53, No. 1 (2015), pp. 43-62 (20 pages) The first-order div least squares finite element methods (LSFEMs) allow for an ...

The finite element method (FEM) has evolved into a robust and flexible tool for solving partial differential equations (PDEs) defined on surfaces. Its versatility allows for the treatment of complex ...

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 ...

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 ...

A new technical paper titled “Solving sparse finite element problems on neuromorphic hardware” was published by researchers ...

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 ...

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 ...

Abstract: A key consideration in the design of supersonic aircraft is reducing the effects of sonic boom. In the past 15 years, significant progress has led to the demonstration of geometric shaping ...

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

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 ...