Lecturer:
External Lecturer:
Martin Kronbichler
Course Type:
PhD Course
Academic Year:
2016-2017
Period:
15-20 May 2017
Duration:
20 h
Description:
Advanced course dedicated to the Numerical Solution of Partial Differential Equations through the deal.II Finite Element Library.
Topics:
- Recap on the Finite Element Method (Sobolev Spaces, Lax Milgram, Variational Formulations, Bramble Hilbert)
- Relationship between the mathematical formulation and the data structures in the deal.II library (Triangulation, DoFHandler, Mapping, FiniteElement, etc.)
- Discretization of Lipschitz domains (Manifold descriptors, Mesh generation, Mesh adaptation)
- Solving the Poisson problem in two and three dimensions
- Computing errors and convergence rates
- High Order Finite Element Approximations
- Adaptive Mesh Refinement and a posteriori error estimation
- Solving PDEs on surfaces embedded in three dimensions
- Parallel implementation of the Finite Element Method
Prerequisites:
Average C++ programming skills.
Research Group:
Location:
Old SISSA Miramare Building (via Beirut 3–4).