Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids
DOI10.1007/s00332-022-09849-yzbMath1506.37105arXiv2110.00412OpenAlexW4226061145MaRDI QIDQ2083234
François Gay-Balmaz, François Demoures
Publication date: 10 October 2022
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.00412
nonlinear elasticityfluid-structure interactionconstraintsmultisymplectic integratorsvariational discretizationdiscrete Cauchy-Green tensors
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dynamical systems in solid mechanics (37N15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K58)
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