Konstantin Zerulla

Senior Scientist

Welcome to my homepage!

Since September 2022, I am a postdoctoral researcher at the Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship, headed by Enrique Zuazua at Friedrich-Alexander-Universität Erlangen-Nürnberg.

My research interests are in the analysis and numerics of wave propagation: Challenges in control problems, stabilizability, machine learning, regularity theory in heterogeneous materials, as well as error analysis (and construction) of time integration schemes.

I studied Mathematics at Karlsruhe Institute of Technology (KIT) from 2012 to 2017. There I did my Bachelor degree in 2015, and my Master degree in 2017. From 2017-2020, I have been a PhD student in the CRC 1173 Wave Phenomena: Analysis and Numerics at KIT, where I finished my PhD in December 2020. Afterwards, I continued to do research on wave phenomena in the CRC 1173 at KIT as a PostDoc until August 2022.

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Approximating the 1D wave equation using Physics Informed Neural Networks (PINNs) Code: • See the complete report by Dania Sana   Introduction Accurate and fast predictions of numerical solutions are of significant interest in many areas of science and industry. On one hand, most theoretical methods […]
Derivation of the pressure function Code: Files to run: nocircle.m, onecircle.m or twocircles.m   1 Introduction This post presents the results of my Bachelor thesis about the modeling and implementation of gas networks at stationary states. Using the isothermal Euler equations to describe the gas flow […]
Author: Daniël Veldman, FAU DCN-AvH Code: A sheep herding game in MATLAB developed for the Long Night of Science #NdW22 (Lange Nacht der Wissenschaft) Erlangen-Furth-Nuernberg 2022. Main rules • The dog should drive sheep to the target (red). • You can steer the dog with the […]
Author: Martín Hernández, FAU DCN-AvH Code: In this repository, we show a code for Lloyd’s algorithm. Also called Voronoid iteration, this is an iterative algorithm finding for equispaced convex cells in euclidean space. Lloyd’s algorithm finds the distribution of the cells computing their center of mass […]
Using the support function for optimal shape design   1 Motivation Led by problems of optimal placement and design of sensors, we are interested in considering the following shape optimization problem where is the Hausdorff distance between and defined as follows with is the distance from […]
Uniform Turnpike Property 1 Introduction In this post, we analyze a heat equation with rapidly oscillating coefficients dependent on a parameter , with a distributed control. We show that the uniform null controllability implies the uniform turnpike property, i.e., the turnpike property with constants independent of […]
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