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Numerical Solution of PDEs Using the Finite Element Method

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2019-2020
Period: 
March
Duration: 
30 h
Description: 

The Finite Element Method Using deal.II This is an intensive course that teaches how to use the finite element library deal.II (www.dealii.org).Prerequisites: you should be familiar with C/C++, and with the Unix command line. We'll cover the basics of Finite Element Methods, and go from solving the Laplace equation on a uniformly refined grid, to solving the same equation using adaptively refined grids, in parallel, on a supercomputer.Lectures will be structured in the following way:

  • 9.30-11.00: frontal lectures
  • 11.30-13.00: exercises
  • 13:00-14:00: lunch break
  • 14:00-15.30: frontal lectures
  • 15:30-17:00: exercises

The topics we will cover are the following:

  • Introduction to Finite Element Methods
  • Introduction to deal.II (step-1 and step-2 of the deal.II tutorials)
  • Solving Poisson's equation
  • Local refinement + hanging nodes
  • Computing errors
  • Shared memory parallelisation 
  • MPI parallelisation: Shared
  • MPI parallelisation: Distributed

During the week, we'll assign a small project to small groups.

Location: 
SISSA Miramare Campus - Room MHPC
Next Lectures: 
Monday, March 2, 2020 - 09:30 to 13:00
Monday, March 2, 2020 - 14:00 to 17:30
Tuesday, March 3, 2020 - 09:30 to 13:00
Tuesday, March 3, 2020 - 14:00 to 17:30
Wednesday, March 4, 2020 - 09:30 to 13:00
Wednesday, March 4, 2020 - 14:00 to 17:30
Thursday, March 5, 2020 - 09:30 to 13:00
Thursday, March 5, 2020 - 14:00 to 17:30
Friday, March 6, 2020 - 09:30 to 13:00

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