Course Unit
Catalogue
Numerical methods for partial differential equations
- Code: DT0640
- Unit Coordinator: Markus Faustmann
- Programme: InterMaths
- ECTS Credits: 7
- Semester: 2
- Year: 1
- Campus: Vienna University of Technology
- Language: English
- Aims:
Being able to solve stationary partial differential equations numerically, analyse the quality of numerical solutions, select proper methods and implement them in a computer program.
- 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:
Applied Mathematics Foundations
- 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
