C1‐continuous space‐time discretization based on Hamilton's law of varying action
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Publication:6065125
DOI10.1002/zamm.201600062arXiv1510.07863OpenAlexW2964338100MaRDI QIDQ6065125
Sina Ober-Blöbaum, Unnamed Author, Roger A. Sauer
Publication date: 11 December 2023
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.07863
nonlinear elastodynamicssymplectic integrationHermite interpolationvariational integratorsHamilton's law of varying action
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Hamilton's principle (70H25) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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