Structure-preserving reduced basis methods for Poisson systems

DOI10.1090/mcom/3618zbMath1465.37095OpenAlexW2902774355MaRDI QIDQ4992229

Cecilia Pagliantini, Jan S. Hesthaven

Publication date: 7 June 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/efe4cb62-7465-4dfc-b33b-90768ae2f972

zbMATH Keywords

Hamiltonian dynamicsPoisson manifoldssymplectic structurereduced basis methodsstructure-preserving schemesinvariants of motion

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (13)

Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder ⋮ Reduced basis methods for time-dependent problems ⋮ Hamiltonian operator inference: physics-preserving learning of reduced-order models for canonical Hamiltonian systems ⋮ Global energy preserving model reduction for multi-symplectic PDEs ⋮ Gradient-Preserving Hyper-Reduction of Nonlinear Dynamical Systems via Discrete Empirical Interpolation ⋮ Data-driven structure-preserving model reduction for stochastic Hamiltonian systems ⋮ Port-Hamiltonian fluid–structure interaction modelling and structure-preserving model order reduction of a classical guitar ⋮ Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds ⋮ Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations ⋮ Structure-preserving model order reduction of Hamiltonian systems ⋮ Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation ⋮ Experimental Comparison of Symplectic and Non-symplectic Model Order Reduction on an Uncertainty Quantification Problem ⋮ Dynamical reduced basis methods for Hamiltonian systems

Uses Software

• GEMPIC

Cites Work

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