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Numerical Analysis

Advanced Programming

The course aims to provide advanced knowledge of both theoretical and practical programming in C++11 and Python3, with particular regard to the principles of object-oriented programming and best practices of software development.

Syllabus:

Advanced Finite Element Analysis

An advanced course dedicate to the analysis of finite element methods, as found in modern numerical analysis literature. A basic knowledge of Sobolev spaces is expected Detailed programA priori estimates (4h)

  • Lax Milgram Lemma
  • Cea’s Lemma
  • Bramble Hilbert Lemma
  • Inverse estimates
  • Trace estimates

Stabilization mechanisms (2h)

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