311.144 (18S) Numerics of Partial Differential Equations

Sommersemester 2018

Registration deadline has expired.

First course session
06.03.2018 08:00 - 09:00 I.2.03 Off Campus
... no further dates known

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

List of events is loading...

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.pdf

Intended 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

Im Fall von online durchgeführten Prüfungen sind die Standards zu beachten, die die technischen Geräte der Studierenden erfüllen müssen, um an diesen Prüfungen teilnehmen zu können.

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 scheme

Position 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)

Equivalent courses for counting the examination attempts

There is no equivalent course for the purpose of counting examination attempts.