Institut für Numerische Mathematik



Lecture in the Summer Term 2021 

Numerics and simulation/ Elective subject mathematics (Gemischte Finite Elemente Methoden & Anwendungen)  
Content  
We will deal with a more detailed analysis and application of finite element methods for solving practical problems in natural science and engineering. Mixed methods denote a class of finite element methods which have more than one approximation space. Typical examples are saddle point problems with Lagrangian multipliers to satisfy constraints. The unique solvability of these problems follows from coercivity and the infsup condition. However, not all choices of finite element spaces lead to stable and convergent approximations. In particular, the discrete infsup condition, also known as BBL condition, must be satisfied. This can be guaranteed by an appropriate, problem depending choice of the finite element spaces. Examples arise in electromagnetics, elasticity, and fluid mechanics. In addition, these methods play an important role in the coupling of different discretization methods, different trial spaces (nonmatching grids), and different fields.  
Expected prior knowledge  
analysis and computational methods of partial differential equations, in particular finite element methods  
Scheduled dates  
 
Exam  
 
Practical  
 
Selected References  
 
Contact  
Contact and office hours Günther Of 