Numerical methods for partial differential equations
- Code: DT0640
- Unit Coordinator: Joachim Schöberl, Edoardo Bonetti
- 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
