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Numerical Solution of PDEs Using the Finite Element Method

Lecturer: 
Luca Heltai
Course Type: 
PhD Course
Academic Year: 
2018-2019
Duration: 
20 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: exercies

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 campus Miramare, MHPC Room
Next Lectures: 
Monday, February 25, 2019 - 09:30 to 17:30
Tuesday, February 26, 2019 - 09:30 to 17:30
Wednesday, February 27, 2019 - 09:30 to 17:30
Thursday, February 28, 2019 - 09:30 to 17:30
Friday, March 1, 2019 - 09:30 to 17:30

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