Numerical methods for partial differential equations

Unit Coordinator: Joachim Schöberl,
Programme: Erasmus Mundus
ECTS Credits: 7
Semester: 2
Year: 1
Campus: Vienna University of Technology
Language: English
Aims:
  • Solve stationary partial differential equations numerically
  • Analyse the quality of numerical solutions
  • Select proper methods and implement them in a computer programme
Content:
  • Variational formulations
  • Sobolev spaces, H(div), H(curl)
  • Finite element spaces (h, p, hp)
  • Mixed formulations
  • Discontinuous Galerkin methods
  • Time-dependent problems
Pre-requisites:

Analysis, linear algebra, numerical mathematics.

Reading list:
  • Lecture notes,
  • Dietrich Braess: Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics, Cambridge University Press, 2007
  • Cleas Johnson: Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge Univ. Press, 1987, Dover 2009
  • Susanne Brenner & Ridgway Scott: The Mathematical Theory of Finite Elements, Springer 2008
  • Alexandre Ern & Jean-Luc Guermond: Theory and Practice of Finite Elements, Springer, 2010 

Print  

Related Articles