19215201 Lecture

SoSe 19: Basic Module: Numerics III

Volker John

Additional information / Pre-requisites

Prerequisites

Prerequisites for this course are basic knowledge in calculus (Analysis I-III) and Numerical Analysis (Numerik I). Some knowledge in Functional Analysis will help a lot. <!-- This lecture will be accompanied by a seminar on "Finite Elements" and a Summerschool both held in block form, probabely in late September. -->

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Comments

Content:

Mathematical modelling of spatial or spatial/temporal phenomena such as porous medium flow, solidification of melts, weather prediction, etc. typically leads to partial differential equations (pdes). After some remarks on the modelling with and classification of pdes, the course will concentrate on elliptic problems. Starting with a brief introduction to the classical theory (existence and uniqueness of solutions, Green's functions) and assiciated difference methods we will mainly focus on weak solutions and their approximation by finite element methods. Adaptivity and multigrid methods will be also discussed.

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Suggested reading

  • F. John: Partial Differential Equations. Springer (1982)
  • M. Renardy, R. C. Rogers: An introduction to partial differential equations, Springer, 2. Auflage (2004)
  • A. Quarteroni, R. Sacco, F. Saleri: Numerische Mathematik 2. Springer (2002)
  • D. Braess: Finite Elemente. Springer, 3. Auflage (2002)
  • P. A. Raviart, J. M. Thomas: Introduction à l'analyse numérique des équations aux dérivées partielles, Dunod (1998)
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24 Class schedule

Regular appointments

Mon, 2019-04-08 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-04-15 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-04-29 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-05-06 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-05-13 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-05-20 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-05-27 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-06-03 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-06-17 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-06-24 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-07-01 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-07-08 14:00 - 16:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-04-08 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-04-15 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-04-29 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-05-06 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-05-13 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-05-20 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-05-27 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-06-03 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-06-17 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-06-24 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-07-01 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Mon, 2019-07-08 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Volker John

Location:
A3/SR 119 Seminarraum (Arnimallee 3-5)

Subjects A - Z