edX High Performance Finite Element Modeling

Overview
Engineering simulations are rapidly becoming fundamental in virtually all industrial sectors, from medicine to energy, aerospace and beyond. In this course, you will learn the breakthrough general adaptive finite element methods (AFEM) and open source FEniCS software that will position you to take lead to effectively solve the grand challenges in science and engineering.

The course targets engineers in industry, or engineering students at masters and doctoral level/or towards the end of a bachelor study.

Learners that achieve top grades in this first course, in a series of two courses, will be offered access to a supercomputer, and more advanced simulations of turbulent flow.

What you'll learn
After completing the course you will be able to:

• derive AFEM for general PDE with relevance in industry: the Navier-Stokes equations for incompressible flow, the wave equation, linear elasticity, and multi-physics combinations of these equations.
• derive fundamental properties of the methods, which are key for robustness and efficiency such as: energy conservation, stability, and a priori and a posteriori error estimates.
• apply general FEM-algorithms such as assembly, adaptivity and local mesh refinement and have a basic understanding of their implementation in FEniCS-HPC.

Taught by
Johan Jansson , Johan Hoffman , Massimiliano Leoni and Niclas Jansson