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Vorlesung

Finite element methods for saddle point problems

Nummer
011420, SS18
Dozentinnen und Dozenten
Veranstaltungstyp
Vorlesung, 2+1
Ort und Zeit
Place and time are determined together in the first lecture.
n.V.
Modul-Zugehörigkeit (ohne Gewähr)
DPL:B:-:2 – Mathematik, Diplom (auslaufend)
DPL:E:-:- – Mathematik, Promotionsstudiengang
MAMA:-:7:MAT-702 – Finite Element methods f. flow prob.
WIMAMA:-:7:MAT-702 – Finite Element methods f. flow prob.
TMAMA:-:7:MAT-702 – Finite Element methods f. flow prob.
Beginn der Veranstaltung
First lecture: 11.04.2018, 12.15 h, M511
Gewünschte Vorkenntnisse
Linear algebra, linear functional analysis and a basic knowledge of the finite element method.
Inhalt

This course aims at providing an introduction to the classical theory of saddle point problems and their approximation by finite element methods. Possible applications can be found in different areas like, for instance, continuum mechanics, fluid dynamics and in electromagnetic problems. In particular, saddle point formulations are often considered to to relax critical constraints and/or to provide an accurate approximation to physically relevant quantities. Starting from the seminal works by Babuska and Brezzi in the early seventies, several theoretical aspects have been clarified through the years and many families of methods have been proposed. We shall provide an introduction to this wide field, discuss the most relevant notions and prove some classical results. We will also illustrate the theory though the construction and analysis of some finite element methods for the Stokes problem, the saddle point formulation of the Poisson problem and the linear elasticity problem.

Bemerkungen

Veranstaltungssprache: englisch
Link zum Modulhandbuch Mathematik
Hint: If you are interested in the lecture, you can contact Pietro Zanotti in advance - e.g. if you are prevented from attending this session.