Lecturer:
Course Type:
PhD Course
Academic Year:
2021-2022
Period:
20-24 June 2022
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
- Parallel implementation of the Finite Element Method -- shared memory parallelization
- Parallel implementation of the Finite Element Method -- distributed memory parallelization
Prerequisites:
Average C++ programming skills.
Research Group:
Location:
SISSA Miramare Building (via Beirut 3–4) -- MHPC Lecture Room