# Johannes Kepler Symposium on Mathematics

As part of the Johannes Kepler symposium on mathematics
**Dr. Angelos
Mantzaflaris**, INRIA Sophia Antipolis,
will give a public talk (followed by a discussion) on **Wed, Nov. 28, 2018**
at **16:15 o'clock** at **HS 12**
on the topic of
"Isogeometric techniques for efficient numerical simulation"
. The organziers of the symposium,

Univ.-Prof. Dr. Gerhard Larcher

A.Univ.-Prof. Dr. Jürgen Maaß, and

die ÖMG (Österreichische Mathematische Gesellschaft),

hereby cordially invite you.

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.