Giovanni Fantuzzi

W1 Professor / Senior Scientist

I am a W1 Professor at FAU DCN-AvH – Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at the Department of Data Science at Friedrich-Alexander-Universität Erlangen-Nürnberg.

Before joining FAU, I held an Imperial College Research Fellowship in the Department of Aeronautics, where I also received a PhD and a Master Eng. in Aeronautics degrees. Alongside my PhD, I held a research position in Engineering Science at the University of Oxford. I was awarded a Geophysical Fluid Dynamics Fellowship at WHOI (2015) and an EPSRC Doctoral Prize Fellowship (2018).

My work spans optimization, dynamical systems, fluid mechanics, and partial differential equations (PDEs). In particular, I seek to study nonlinear differential equations using a mix of mathematical analysis and numerical tools for convex optimization. I used this multidisciplinary approach to derive a priori scaling laws for heat transport problems and, more recently, to construct numerical schemes that provably approximate global optimizers of nonlinear PDE-constrained problems. I am also interested in developing fast algorithms for large-scale optimization problems with structure, especially conic problems and polynomial optimization problems.

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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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