Damped wave systems on networks: exponential stability and uniform approximations

DOI10.1007/s00211-017-0924-4OpenAlexW2964110209WikidataQ115609023 ScholiaQ115609023MaRDI QIDQ1742488

Xianqiang Yang

Publication date: 11 April 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03066

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

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Linear port-Hamiltonian descriptor systems ⋮ On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks ⋮ Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation ⋮ On Port-Hamiltonian Approximation of a Nonlinear Flow Problem on Networks ⋮ Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ Differential-algebraic systems with dissipative Hamiltonian structure ⋮ Hypocoercivity and controllability in linear semi‐dissipative Hamiltonian ordinary differential equations and differential‐algebraic equations ⋮ Observability and control of parabolic equations on networks with loops ⋮ Implicit active flux methods for linear advection ⋮ On Structure-Preserving Model Reduction for Damped Wave Propagation in Transport Networks ⋮ A Hybrid Discontinuous Galerkin Method for Transport Equations on Networks ⋮ Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation ⋮ Finite element solution of isothermal gas flow in a network ⋮ Damped wave systems on networks: exponential stability and uniform approximations ⋮ Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks ⋮ A Robust Conservative Mixed Finite Element Method for Isentropic Compressible Flow on Pipe Networks

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