Finite Element Method


  • A course for research students, offered under the auspices of the Taught Course Centre for the Mathematical Sciences organised as a collaboration between Bath, Bristol, Imperial, Oxford and Warwick. The course will take place in the video-conferencing room of each institution. It is B.06 in Warwick.

  • The module is centred around numerically solving variational problems in Hilbert spaces as they may emerge from partial differential equations by means of weak formulations. In the abstract Ritz-Galerkin method, the problem is discretised by considering it in a finite dimensional subspace, and finite elements are a theoretically and practically suitable way to define such subspaces. We carefully discuss the approximation theory which involves proving and characterising convergence. This introduction to the finite element method will take about five or six lectures. After, we will study deeper topics subject of current research such as a posteriori error analysis and mesh adaptivity, pdes on surfaces and surface finite elements, and discontinuous Galerkin methods.
    A basic knowledge of functional analysis and Sobolev spaces is necessary.

  • SYNOPSIS

  • The FIRST LECTURE is on Thursday 22 January 2015.

  • Lectures take place weekly at 14:00 til 16:00 on Thursday.

  • This page will be updated as the course progresses.

  • I expect some reading to be carried out before each lecture.

  • Those TCC students from Bath, Bristol, Imperial and Oxford attending the course for credit should email both graduate.studies(at)maths.ox.ac.uk and myself so we have an up to date contact list and an idea of the numbers.

    Lecture notes

  • I will place lecture notes etc in a Dropbox for registered followers of the module to access. If you wish to have access to this material then please email me and Oxford, as stated above, that you are attending the module.

  • For those who require it, the course will be assessed by problems. Details later. It is possible to attend these lectures without assessment if you have no university, supervisor, EPSRC etc constraints. This is not a module which may be used as part of an MSc outside Warwick.

  • I am the Director of the EPSRC Centre for Doctoral Training MASDOC

  • My email is c.m.elliott at warwick dot ac dot uk

    Warwick Jobs and Post-doctoral Fellowships<Title> <P> <br><a href="http://www.warwick.ac.uk/~masgat//">Return to Homepage</ a> </LI> </BODY> </HTML> <p><span class="example"><a href="http://www.warwick.ac.uk/staff/C.M.Elliott/DziEll13a.pdf"> Finite element methods for surface PDEs<a> You will find most of the course here.</span></p> <p><span class="example"><a href="http://www.warwick.ac.uk/staff/C.M.Elliott/TopicsPDEsDraft2013January.pdf"> Topics in PDEs</a> These are lectures for an advanced PDE course. You can find material useful as an introduction to elliptic and parabolic equations as well as an introduction to the abstract FEM.<br /> </span></p>