Computational Partial Differential Equations
(in German "Numerik partieller Differentialgleichungen")
Information
Wed, Feb 15, 2017, the lecture takes place in room 2.417
Dates
Please notice the following SPECIAL DATES in January. (Missing rooms will be announced here, soon.)
- Mon, Jan 16, 2017, 11am-1pm, lecture, RUD25, room 1.013 (start at 11:00 sharp)
- Mon, Jan 16, 2017, 1pm-3pm, lecture, RUD25, room 2.006
- Wed, Jan 18, 2017, no lecture!
- Thu, Jan 19, 2017, 11am-1pm, tutorial, RUD25, room 3.006 (start at 11:00 sharp)
From January 3rd to January 6th, 2017 the
Winterschool on Implementation of discontinuous Petrov-Galerkin FEM takes
place. The following lectures and presentation during this winterschool substitute the
CPDE lectures in this week.
- Wed, Jan 4, 2017, 3pm-5pm, lecture by Friederike Hellwig on "Inf-sup Conditions in Discontinuous Petrov-Galerkin FEMs", RUD25, room 1.011
- Thu, Jan 5, 2017, 1pm-3pm, programming tutorial, RUD25, room 2.420
The LECTURES take place
- Wed, 3pm-5pm, RUD25, room 1.011 (start at 15:00 sharp)
- Thu, 11am-1pm, RUD25, room 3.006 (start at 11:00 sharp)
The TUTORIALS take place
- Mon, 1pm-3pm, RUD25, room 2.006
Information
The attendence at Functional Analysis and the Projektpraktium II CPDE is recommended.
The lecture is based on the book Numerical approximation of partial differential equations by Sören Bartels, Springer 2016.
This book will soon be available at the library.
Contact
M. Schedensack (schedens(at)math.hu-berlin.de)
Contents
The lecture is an introduction to the mathematical analysis of
conforming, non-conforming and mixed finite element methods with focus on
the most fundamental model problem, i.e., the Poisson problem. Throughout
the lecture and besides the theoretical aspects of the aforementioned
computational methods, issues resulting from a practical implementation are
discussed and demonstrated by the help of a MATLAB code.
Required mathematical background
The finite element method is embedded in the concept of weak
formulations and weak solutions. Thus, some basic understanding of the
abstract notion of Hilbert spaces and the integration by parts formula
are required. (Analysis III, Functional analysis, Linear Algebra)
