Jan Heiland

Jan Heiland

Team leader and Jun.-Prof. in Applied Mathematics

MPI for Dynamics of Complex Technical Systems

OvG University Magdeburg

That’s me

Researcher and team leader in the working group Computational Methods of Systems and Control Theory at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg and a Junior Professor at the Otto-von-Guericke University.

Interests

  • Differential-algebraic Equations
  • Systems and Control Theory
  • Flow Control

Education

  • PhD in Mathematics, 2014

    TU Berlin

Curriculum Vitae

 
 
 
 
 

Junior Professor

Otto-von-Guericke University

May 2018 – Present Magdeburg
Teaching and academic self-management
 
 
 
 
 

Researcher

MPI for Dynamics of Complex Technical Systems

Nov 2013 – Present Magdeburg
Basic research on control systems and responsibility for the research team Computer Aided Control System Design
 
 
 
 
 

Researcher

TU Berlin

Oct 2009 – Oct 2013 Berlin
PhD Projection on Decoupling, Semi-Discretization, and Optimal Control of Semi-linear Semi-explicit Index-2 Abstract Differential-Algebraic Equations and Application in Optimal Flow Control
 
 
 
 
 

Student Employee

Bombardier Transportation

Jun 2007 – Sep 2009 Berlin
Department of aerodynamics: implementation of an automated approach for shape optimization and wind tunnel testings

Teaching

Current Course (Summer Term 2020)

Topic Location
Lecture: Mathematik 2 für Informatik online
Mi 9-11
Fr 13-15		 LSF

Previous Courses

Topic Occasion
Seminar: Geometric formulations of inviscid fluids and their discretization (with C. Lessig) Winter term 2019 at OVGU LSF
Seminar: Geometric formulations of inviscid fluids and their discretization (with C. Lessig) Summer term 2019 at OVGU LSF
Lecture: Differential-algebraic Equations: an introduction to the theoretical and numerical treatment of DAEs Winter term 2018 at OVGU Script
Paperhive
Short course: Introduction to Tensor Based Computing MathCoRe Compact Course 2018
Lecture: Funktionentheorie (Complex Analysis) Winter term 2017 at OVGU
Lecture: Differential-algebraic Equations Summer term 2016 at OVGU
Short course: Model Reduction for Line Time Invariant Systems Summer 2015 at Shanghai University Slides

Recent Posts

Trends in Covid-19 Spread

How the daily changes in the cases may indicate whether the virus is on the decline.
Jan Heiland
Mar 22, 2020 7 min read
Trends in Covid-19 Spread

FEniCS Burgers POD DMD

A short python implementation of POD and DMD for a 2D Burgers equation using FEniCS and Scipy.
Jan Heiland
Mar 7, 2020 10 min read
FEniCS Burgers POD DMD

Adjoint Systems for Optimal Control from Pontryagin to Wikipedia

While it seems common knowledge how to formulate necessary optimality conditions backed by the famous Pontryagin’s Maximum Principle, the direct derivation from the very general original formulations is not obvious. Sometimes, authors like me1 provide some plausibility like obviously this term has to vanish, refer to other sources that miss the derivation too, or attach the complete book by Pontryagin to a specific formula2.
Jan Heiland
Aug 6, 2019 6 min read

Projects

*
All BA/MA Software Industry

Open Master Thesis

on DMD models for flow problems based on time series using adaptive grids

Inverse Triple Pendulum

An inverted triple pendulum as a test bench and demonstrator for control routines.

Open Master Thesis

on Modelling of the impact of multiple scattering on measurements using luminescent particles

dolfin-navier-scipy

A Python package that provides an interface between scipy and FEniCS in view of solving Navier-Stokes Equations.

hinf-lqgbt-nse

Python module for application of (Hinf-)LQG-balanced truncation for low-order controllers for the stabilization of Navier-Stokes equations

Open Theses Topics

Open projects available in different fields

Multiple Scattering in TPIV

Bachelor thesis on Modelling of the impact of multiple scattering on scalar measurements using luminescent particles

Conferences

Workshops&Visits

2020 – Meet me at the following occasions:

Date Occasion Location
Feb 01 – Mar 15 Visiting Professor at the CMC at Deusto invited by Enrique Zuazua and the ERC DyCon Project Bilbao, Spain
May 12 – May 15 ECC - European Control Conference Saint Petersburg, Russia but virtual

See previous conferences and visits

My most recent talks

Control of a Triple Pendulum in Theory and Practice
Oct 8, 2020 16:45 — Oct 4, 2020 18:00 virtual
The DEAL - What is up and what does it mean
Sep 23, 2020 14:00 — Sep 4, 2020 14:30 virtual
Mathematical modeling of infectious disease
Jul 2, 2020 11:00 — 12:00 virtual
Equivalence of Riccati-Based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough
May 13, 2020 15:00 — 17:00 virtual
Turnpike and Linear Systems Theory
Apr 7, 2020 14:00 — 15:00
See all talks

Recent Publications

Browse and filter all publications.

Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough

The Riccati-based approach to robust control is completely understood in theory since long but seldom used for large-scale systems in …
Peter Benner, Jan Heiland
PDF ECC 2020 Proceedings

Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO2 Methanation

The optimization of a controlled process in a simulation without access to the model itself is a common scenario and very relevant to …
Jens Bremer, Jan Heiland, Peter Benner, Kai Sundmacher
Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO2 Methanation

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

Reduced-order modeling has a long tradition in computational fluid dynamics. The ever-increasing significance of data for the synthesis …
Peter Benner, Pawan Goyal, Jan Heiland, Igor Pontes Duff
PDF Code
Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

PD controllers to solve single-input, index-1 DAE based LQR problems

In this paper, we present a method to compute the optimal trajectories of a linear quadratic regulator (LQR) problem corresponding to a …
Chayan Bhawal, Jan Heiland, Peter Benner
PDF ECC 2020 Proceedings

Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification

The quantification of multivariate uncertainties in partial differential equations can easily exceed any computing capacity unless …
Peter Benner, Jan Heiland
PDF
Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification
See all publications

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