311.144 (18S) Numerics of Partial Differential Equations
Overview
- Lecturer
- Course title german Numerik partieller Differentialgleichungen
- Type Lecture - Practical class (continuous assessment course )
- Hours per Week 3.0
- ECTS credits 6.0
- Registrations 2
- Organisational unit
- Language of instruction no language of instruction was specified
- Course begins on 06.03.2018
Time and place
Course Information
Intended learning outcomes
Nach erfolgreicher Absolvierung dieser LV kennen Studierende Methoden und die dazugehörigen theoretischen Resultate aus der Numerik partieller Differentialgleichungen. Sie verstehen diese, können die Sätze beweisen und die Methoden anwenden.
Teaching methodology including the use of eLearning tools
Vortrag
Course content
Grundlagen
konforme Finite Elemente Methoden für elliptische Differentialgleichungen
nichtkonforme Finite Elemente Methoden für elliptische Differentialgleichungen
zeitabhängige Probleme
Link to further information
https://www.uni-due.de/~adf040p/skripte/NumPDENotes13.pdfIntended learning outcomes
After successful completion of this course, students will know methods and corresponding theoretical results in numerics of partial differential equations. They will understand and will be able to prove these theorems and will be able to apply these methods.
Teaching methodology including the use of eLearning tools
lecture
Course content
background:
1 overview of the finite element method
2 variational theory of elliptic pdes
conforming finite elements for elliptic PDEs:
3 galerkin approach for elliptic problems
4 finite element spaces
5 polynomial interpolation in sobolev spaces
6 error estimates for the finite element approximation
7 implementation
nononforming finite elements for elliptic PDEs:
8 generalized galerkin approach
9 discontinuous galerkin methods
10 mixed methods
time dependent problems:
11 variational theory of parabolic pdes
12 galerkin approach for parabolic problems
(10-12 if time permits)
Examination information
Examination methodology
Mündliche Prüfung (typischerweise 30-45 Minuten)
Examination topic(s)
Inhalt der Vorlesung
Assessment criteria / Standards of assessment for examinations
Bei der Beurteilung der mündlichen Prüfung wird auf
- die Kenntnis der Methoden, Definitionen und Resultate
- die gute Erklärung der entsprechenden Beweise und Herleitungen
Wert gelegt.
Examination methodology
Oral exam (approx. 30-45 minutes).
Examination topic(s)
contents of the lecture
Assessment criteria / Standards of assessment for examinations
The assessment of the oral exam relies on
- knowledge of the methods, definitions and results;
- good explanation of the correspoding proofs and derivations.
Grading scheme
Grade / Grade grading schemePosition in the curriculum
- Master's degree programme Technical Mathematics
(SKZ: 401, Version: 13W.1)
-
Subject: Angewandte Analysis
(Compulsory elective)
-
Nichtlineare Funktionalanalysis (
3.0h VU / 6.0 ECTS)
- 311.144 Numerics of Partial Differential Equations (3.0h VU / 6.0 ECTS)
-
Nichtlineare Funktionalanalysis (
3.0h VU / 6.0 ECTS)
-
Subject: Angewandte Analysis
(Compulsory elective)