A Direct Index 1 DAE Model of Gas Networks

DOI10.1007/978-3-319-75319-5_5zbMath1416.78021OpenAlexW2798180001MaRDI QIDQ5225300

Maike Braukmüller, Sara Grundel, Peter Benner

Publication date: 19 July 2019

Published in: Reduced-Order Modeling (ROM) for Simulation and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-75319-5_5

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical methods for differential-algebraic equations (65L80) Directed graphs (digraphs), tournaments (05C20) Euler equations (35Q31) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (1)

Model order reduction for gas and energy networks

Cites Work

• Unnamed Item
• Unnamed Item
• Differential-algebraic equations. A projector based analysis
• POD a-posteriori error estimates for linear-quadratic optimal control problems
• Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• Model reduction for compressible flows using POD and Galerkin projection
• Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
• The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
• Index-Aware Model Order Reduction for Linear Index-2 DAEs with Constant Coefficients
• A note on POD model reduction methods for DAEs
• A new model for gas flow in pipe networks
• Linear differential-algebraic equations with properly stated leading term:A-critical points
• HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems
• A Unified (P)DAE Modeling Approach for Flow Networks
• Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks
• Convergence Rates of the POD–Greedy Method
• Approximation of Large-Scale Dynamical Systems
• Space-Time Galerkin POD with Application in Optimal Control of Semilinear Partial Differential Equations

This page was built for publication: A Direct Index 1 DAE Model of Gas Networks