The lecture will discuss advanced aspects of finite element (FE) discretizations for partial differential equation. This incorporates theoretical aspects as well as implementation aspects. On the theoretical side we will e.g. discuss discontinuous Galerkin methods which, among other advantages, allow for highly efficient higher order methods. Another aspects will be C^1 finite elements for fourth order problems. On the practical side we will discuss the impelemntation of finite elements in C++. We will cover some basics of C++, prototypical implementations, and finally introduce into the modern FE library Dune.
This lecture is based on the course "Numerical methods for partial differential equations (Numerik III)". It is intended to broaden the way towards a master thesis in the field of computational PDEs.
Participants should have some knowledge about PDEs and their numerical approximation by finite elements as provided, e.g., by the course on "Numerical methods for partial differential equations (Numerik III)". Computer Science students interested in numerical software develpoment with C++ are also welcome.
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A3/SR 130 Seminarraum (Hinterhaus)
wöchentlich, ab 17.10.2019, 12:00 - 14:00 (16 Termine)