• Length:
    18 Weeks
  • Effort:
    1–2 hours per week
  • Price:

    Add a Verified Certificate for $45 USD

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Basic knowledge of linear algebra, calculus and programming is a prerequisite to understand the content and therefore strongly recommended.

About this course

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.

Meet your instructors

Massimiliano Leoni
PhD Candidate
KTH Royal Institute of Technology
Rahul Kumar
BCAM, Basque Center for Applied Mathematics
Laura Saavedra
Lecturer, UPM
Universidad Politécnica de Madrid Madrid
Margarida Moragues
BCAM, Basque Center for Applied Mathematics
Frida Svelander
PhD student
KTH Royal Institute of Technology
Cem Degirmenci
PhD student and Visiting Fellow BCAM
KTH Royal Institute of Technology
Johan Jansson
Associate Professor
KTH Royal Institute of Technology
Van-Dang Nguyen
Ph.D. in Applied Mathematics
KTH Royal Institute of Technology
Ezhilmathi Krishnasamy
PhD student
KTH Royal Institute of Technology
Tamara Dancheva
PhD candidate at BCAM (Basque institute of applied mathematics) in Bilbao, Spain
KTH Royal Institute of Technology

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Who can take this course?

Unfortunately, learners from one or more of the following countries or regions will not be able to register for this course: Iran, Cuba and the Crimea region of Ukraine. While edX has sought licenses from the U.S. Office of Foreign Assets Control (OFAC) to offer our courses to learners in these countries and regions, the licenses we have received are not broad enough to allow us to offer this course in all locations. EdX truly regrets that U.S. sanctions prevent us from offering all of our courses to everyone, no matter where they live.