Introduction to the Theory and Numerics of Partial Differential Equations

Time and Space: Mo 12 - 14 and We 12 - 14, HS2, Albertstr. 23b
Lecturer: Prof. Dr. P. W. Dondl
Office Hours Lecturer: Mo 10:15-11:45 Uhr, Room 217, Hermann-Herder-Str. 10
Please send an email in advance.
Assistants: Oliver Suchan and Ludwig Striet
Sprechstunde Assistent: by appointment

Content

The aim of this course is to provide an introduction to the theory of linear partial differential equations and their finite difference and finite element approximations. Finite element methods for approximating partial differential equations have reached a high degree of maturity and are an indispensable tool in science and engineering. We provide an introduction to the construction, analysis, and implementation of finite element methods for various model problems. We cover elementary properties of linear partial differential equations together with their basic numerical approximation, the functional analytical approach for the rigorous proof of the existence of solutions, and the construction and analysis of basic finite element methods.

Course credits / Examination

The exams for this class are oral, the date for the oral exams is Wednesday, Feb 11.

Problem sets

Blatt Ausgabe Abgabe
Series 1 15.10.25 tbd.

Please return the completed exercise sheets in the respective mailboxes on the second floor Hermann-Herder-Str. 10 (outside CIP-Pool).

Practical problem sets

Blatt Ausgabe Abgabe
Series 1 15.10.25 tbd.

Please coordinate with the tutor regarding turning in the practicals.

Registration

Registration for tutorials and the exam via HISinOne.

Literature

We recommend the following literature.

  • S. Bartels : Numerical Approximation of Partial Differential Equations, Springer 2016.
  • L.C. Evans : Partial Differential Equations: Second Edition, AMS 2010.

Tutorial groups (weekly starting wk. 2)

tba.

Practical groups (weekly starting wk. 2)

tba.