Schedule: 14.04.2020 - 20.05.2020
Contact information for the course (applies in this implementation):
Prof. Rolf Stenberg
Details on the course content (applies in this implementation):
This is a second course in the finite element method. The topics covered are a posteriori error analysis and a adaptive methods, and problems that are described as minimisation problems subject to constraints.
The content of the course is the following.
Boundary value problems and the FEM
Scalar elliptic equations. Elastic membrane, electromagnetic field, stationary heat conduction.
Vector valued problems. The Navier-Stokes and the Stokes problem. Linear elasticity.
A posteriori error analysis
The Clément interpolation operator. A posteriori estimates. Reliability and efficiency.
Saddle point problems
The Stokes problem. The uniqueness of the continuous and discrete problem. The stability condition and the error in the finite element methods. Examples of FE methods.
Stabilized methods for the Stokes problem
A priori and a posteriori error analysis.
The membrane obstacle problem. Mixed and stabilized finite element methods. Nitsche’s method. The elastic contact problem.
Course Homepage (valid 01.08.2018-31.07.2020):
Grading Scale (valid 01.08.2018-31.07.2020):
Further Information (valid 01.08.2018-31.07.2020):
- Teacher: Rolf Stenberg