Johannes Kepler Symposium für Mathematik

Im Rahmen des Johannes-Kepler-Symposiums für Mathematik wird Dr. Angelos Mantzaflaris, INRIA Sophia Antipolis, am Wed, Nov. 28, 2018 um 17:15 Uhr im HS 12 einen öffentlichen Vortrag (mit anschließender Diskussion) zum Thema "Isogeometric techniques for efficient numerical simulation" halten, zu dem die Veranstalter des Symposiums,

O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, und
die ÖMG (Österreichische Mathematische Gesellschaft)

hiermit herzlich einladen.

Series B - Mathematical Colloquium:

The intention is to present new mathematical results for an audience interested in general mathematics.

Isogeometric techniques for efficient numerical simulation

Computer simulations are indispensable in predicting physical behavior
and therefore designing and optimizing industrial products. The
ingredients of a robust and efficient simulation include the
representation of the geometry as well as the functions spaces for
representing (scalar or vector) fields of interest. In this talk we
introduce the isogeometric paradigm, which proposes the use of
spline functions for both of these representations.
In the first part we are concerned with the computational complexity
of performing simulations with B-spline discretizations on a single
geometric patch. In particular, we discuss the case of tensor-product
bases and utilize numerical tensor calculus to overcome dimensionality
barriers. In the second part we present techniques for dealing with complex
geometric shapes, which are represented as multi-patch structures. We
elaborate on smooth coupling of patches, discretizations based on
triangular splines, as well as numerical quadrature and optimization
loops.