Mathematics

This is an advanced monographic course on the numerical analysis of PDEs using state-of-the-art nonconforming and discontinuous finite element methods. This will include very recent research on the development of methods on extremely general meshes, such as virtual elements and discontinuous Galerkin methods.  Topics

This course provides a high level overview on the numerical solution of partial differential equations. All major classes of numerical methods will be analysed within a rigorous mathematical setting. Key aspects, such as consistency and stability, will be thoroughly investigated, providing the guidelines for the correct choice and implementation of numerical methods for a range of problems.