Construction and analysis of higher order Galerkin variational integrators

DOI10.1007/s10444-014-9394-8zbMath1337.37063arXiv1304.1398OpenAlexW2073108084WikidataQ120716678 ScholiaQ120716678MaRDI QIDQ269177

Nils Saake, Sina Ober-Blöbaum

Publication date: 18 April 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1398

zbMATH Keywords

symplectic methodsdiscrete variational mechanicsnumerical convergence analysisvariational integrators

Mathematics Subject Classification ID

Related Items (19)

Spectral variational integrators for semi-discrete Hamiltonian wave equations ⋮ Analysis of higher order phase fitted variational integrators ⋮ Stochastic discrete Hamiltonian variational integrators ⋮ Variational integrators for orbital problems using frequency estimation ⋮ Construction and comparison of multidimensional spectral variational integrators and spectral collocation methods ⋮ Chebyshev spectral variational integrator and applications ⋮ Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints ⋮ C¹‐continuous space‐time discretization based on Hamilton's law of varying action ⋮ Galerkin Lie-group variational integrators based on unit quaternion interpolation ⋮ Variational-based locking-free energy-momentum schemes of higher-order for thermo-viscoelastic fiber-reinforced continua ⋮ Spectral-collocation variational integrators ⋮ Structure-preserving time integration of non-isothermal finite viscoelastic continua related to variational formulations of continuum dynamics ⋮ Numerical integration in celestial mechanics: a case for contact geometry ⋮ Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation -- no shear locking ⋮ Fractional damping through restricted calculus of variations ⋮ High-order variational time integrators for particle dynamics ⋮ Linear-Time Variational Integrators in Maximal Coordinates ⋮ Manifold turnpikes, trims, and symmetries ⋮ High order variational integrators in the optimal control of mechanical systems

Uses Software

• RODAS

Cites Work

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