Jan Heiland
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  • Blog
    • Ausbreitung von Glitzer und anderen ansteckenden Eigenschaften
    • Convolutional autoencoders for very low-dimensional parametrizations of nonlinear fluid flow
    • Pandoc vs. Pandemic
    • Trends in Covid-19 Spread
    • FEniCS Burgers POD DMD
    • Adjoint Systems for Optimal Control from Pontryagin to Wikipedia
  • Recent & Upcoming Talks
    • Implicit and Explicit Matching of Non-Proper Transfer Functions in the Loewner Framework
    • Two-step MOR for H-infinity-robust nonlinear controller design
    • Advanced Topics in Systems and Control
    • The DEAL is here - What now?
    • Computational Approaches to H-Infinity-robust Controller Design and System Norms for Large-scale Systems
    • Low-dimensional linear parameter varying system approximations for nonlinear controller design
    • Numerical Methods in Control and Optimization of Dynamical Systems
    • Data-driven identification of encoding on quadratic-manifolds for high-fidelity dynamical models
    • Linearization errors as smooth perturbations of coprime factors in linearized Navier-Stokes equations
    • Convolutional autoencoders for low-dimensional parameterizations of Navier-Stokes flow
    • Tensor-Galerkin POD for Efficient Uncertainty Quantification in PDEs with Multivariate Random Parameters
    • Past Conferences and Events
    • Space and Chaos-Expansion Galerkin POD for UQ of PDEs with Random Parameters
    • Control of a Triple Pendulum in Theory and Practice
    • The DEAL - What is up and what does it mean
    • Mathematical modeling of infectious disease
    • Equivalence of Riccati-Based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough
    • Turnpike and Linear Systems Theory
    • A benchmark for fluid rigid body interaction with standard CFD packages
    • Talk: Stability Analysis of Time Stepping Schemes for Incompressible Flows from a DAE Perspective
    • Machine learning and data-driven methods for model reduction and control
      • Program
    • Tensor-space Galerkin POD for parametric flow equations
    • Robust observer-based feedback for the incompressible Navier-Stokes equation
    • Robust control for compensation of linearization and discretization errors in stabilization of incompressible flows
    • Low-rank modelling in uncertainty quantification
    • MS -- Low-rank modelling in uncertainty quantification
  • Publications
    • Deep Polytopic Autoencoders for Low-dimensional Linear Parameter-varying Approximations and Nonlinear Feedback Design
    • Polytopic Autoencoders with Smooth Clustering for Reduced-order Modelling of Flows
    • A low-rank solution method for Riccati equations with indefinite quadratic terms
    • A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems
    • Convolutional Autoencoders, Clustering, and POD for Low-dimensional Parametrization of Navier-Stokes Equations
    • Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales
    • Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems
    • Implicit and explicit matching of non-proper transfer functions in the Loewner framework
    • Low-Complexity Linear Parameter-Varying Approximations of Incompressible Navier-Stokes Equations for Truncated State-Dependent Riccati Feedback
    • Low-order Linear Parameter Varying Approximations for Nonlinear Controller Design for Flows
    • MaRDIFlow: A Workflow Framework for Documentation and Integration of FAIR Computational Experiments
    • Projective lag quasi-synchronization of coupled systems with mixed delays and parameter mismatch: a unified theory
    • Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification
    • A low-rank solution method for Riccati equations with indefinite quadratic terms
    • A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems
    • Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems
    • Convolutional Autoencoders and Clustering for Low-dimensional Parametrization of Incompressible Flows
    • Convolutional Neural Networks for Very Low-Dimensional LPV Approximations of Incompressible Navier-Stokes Equations
    • Identification of Linear Time-Invariant Systems with Dynamic Mode Decomposition
    • Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows
    • Robust output-feedback stabilization for incompressible flows using low-dimensional (ℋ)(_mbox(ınfty) )-controllers
    • Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems
    • Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations
    • Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations
    • Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO$_m̊ 2$ Methanation
    • Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough
    • PD controllers to solve single-input, index-1 DAE based LQR problems
    • Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification
    • Frequency-selective Filter Based Frequency Separated Feedback Control of Linear Systems: State Feedback Case
    • Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations
    • Numerical benchmarking of fluid-rigid body interactions
    • Robust Controller versus Numerical Model Uncertainties for Stabilization of Navier-Stokes Equations
    • Solution Formulas for Differential Sylvester and Lyapunov Equations
    • Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based Feedback
    • Optimal Control of a Stefan Problem Fully Coupled with Navier-Stokes-Equations and Mesh Movement
    • Regularization and Rothe Discretization of Semi-Explicit Operator DAEs
    • Space-Time Galerkin POD with Application in Optimal Control of Semi-linear Parabolic Partial Differential Equations
    • Nonlinear feedback stabilization of incompressible flows via updated Riccati-based gains
    • Example Setups of Navier- Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients
    • Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows
    • Moment-Matching Based Model Reduction for Navier-Stokes Type Quadratic-Bilinear Descriptor Systems
    • Simulation of multibody systems with servo constraints through optimal control
    • A Differential-Algebraic Riccati Equation for Applications in Flow Control
    • Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software
    • Robust Stabilization of Laminar Flows in Varying Flow Regimes
    • Finite Element Decomposition and Minimal Extension for Flow Equations
    • Discrete Input/Output Maps and their Relation to Proper Orthogonal Decomposition
    • LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows
    • Time-dependent Dirichlet Conditions in Finite Element Discretizations
    • Wie steuert man einen Kran?
    • Decoupling, Semi-Discretization, and Optimal Control of Semi-linear Semi-explicit Index-2 Abstract Differential-Algebraic Equations and Application in Optimal Flow Control
    • Distributed Control of Linearized Navier-Stokes Equations via Discretized Input/Output Maps
    • A New Discretization Framework for Input/Output Maps and its Application to Flow Control
    • Simulation and Control of Drop Size Distributions in Stirred Liquid/Liquid Systems
    • Systematic Discretization of Input/Output Maps and Control of Partial Differential Equations
    • Distributed Control of Semidiscretized Oseen Equations
    • Shape Optimization in Train Aerodynamics
  • Experience
  • Teaching
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  • Projects
    • LPV Approximations for Nonlinear Controller Design
    • MaRDI
    • Research Training Group: MathCoRe
    • MRI Fingerprinting with Philips
    • Open Master Thesis
    • Inverse Triple Pendulum
    • Open Master Thesis
    • dolfin-navier-scipy
    • hinf-lqgbt-nse
    • Open Theses Topics
    • Multiple Scattering in TPIV

Convolutional Autoencoders, Clustering, and POD for Low-dimensional Parametrization of Navier-Stokes Equations

Jan 1, 2023·
Y. Kim
,
J. Heiland
· 0 min read
Cite DOI
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Report
Last updated on Jan 1, 2023
← A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems Jan 1, 2023
Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales Jan 1, 2023 →

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