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Numerical Solution of PDEs Using the Finite Element Method

Lecturer: 
Course Type: 
PhD Course
Master Course
Academic Year: 
2022-2023
Period: 
12-16 December 2022
Duration: 
24 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
  • Parallel implementation of the Finite Element Method -- distributed memory parallelization
Prerequisites: 
Average C++ programming skills.
Location: 
SISSA Miramare Building (via Beirut 3–4) -- MHPC Lecture Room
Next Lectures: 

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