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German original

Numerical Solution Methods for Elliptical Partial Differential Equations
(dt. Numerische Behandlung elliptischer partieller Differentialgleichungen)

Level, degree of commitment in original study programme Advanced module, compulsory elective module
Forms of teaching and learning,
workload
Lecture (3 SWS), recitation class (1 SWS),
180 hours (60 h attendance, 120 h private study)
Credit points,
formal requirements
6 CP
Course requirement: Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Written or oral examination
Language,
Grading
German,
The grading is done with 0 to 15 points according to the examination regulations for study course M.Sc. Mathematics.
Original study programme M.Sc. Mathematik / Vertiefungsbereich Mathematik
Duration,
frequency
One semester,
Regelmäßig im Wechsel mit anderen Spezialisierungsmodulen
Person in charge of the module's outline Prof. Dr. Stephan Dahlke

Contents

Elliptic differential equations, weak solutions, variation formulation, Galerkin method, finite elements


Qualification Goals

The students shall

  • recognise the limits of standard procedures when the problem poses special challenges,
  • learn to find solutions adequate to the problem,
  • to understand in an exemplary way how concrete practical developments influence the challenges of applied mathematics,
  • practice mathematical working methods (development of mathematical intuition and its formal justification, training of the ability to abstract, proof techniques),
  • improve their oral communication skills in the exercises by practicing free speech in front of an audience and during discussion.

Prerequisites

None. The competences taught in the following modules are recommended: either Foundations of Mathematics and Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Numerical Analysis.


Recommended Reading

  • Hackbusch, W., Theorie und Numerik elliptischer Differentialglei-chungen, Teubner 1986
  • Brenner, S.C., Scott, L.R, The mathematical theory of finite element methods, Springer, 1994



Please note:

This page describes a module according to the latest valid module guide in Wintersemester 2020/21. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.