Symplectic Hamiltonian finite element methods for linear elastodynamics

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dc.contributor.authorSanchez, Manuel A.
dc.contributor.authorCockburn, Bernardo
dc.contributor.authorNguyen, Ngoc-Cuong
dc.contributor.authorPeraire, Jaime
dc.date.accessioned2025-01-20T22:20:38Z
dc.date.available2025-01-20T22:20:38Z
dc.date.issued2021
dc.description.abstractWe present a class of high-order finite element methods that can conserve the linear and angular momenta as well as the energy for the equations of linear elastodynamics. These methods are devised by exploiting and preserving the Hamiltonian structure of the equations of linear elastodynamics. We show that several mixed finite element, discontinuous Galerkin, and hybridizable discontinuous Galerkin (HDG) methods belong to this class. We discretize the semidiscrete Hamiltonian system in time by using a symplectic integrator in order to ensure the symplectic properties of the resulting methods, which are called symplectic Hamiltonian finite element methods. For a particular semidiscrete HDG method, we obtain optimal error estimates and present, for the symplectic Hamiltonian HDG method, numerical experiments that confirm its optimal orders of convergence for all variables as well as its conservation properties. (C) 2021 Elsevier B.V. All rights reserved.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.cma.2021.113843
dc.identifier.eissn1879-2138
dc.identifier.issn0045-7825
dc.identifier.urihttps://doi.org/10.1016/j.cma.2021.113843
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/94629
dc.identifier.wosidWOS:000649718300003
dc.language.isoen
dc.revistaComputer methods in applied mechanics and engineering
dc.rightsacceso restringido
dc.subjectElastodynamics
dc.subjectSymplectic Hamiltonian finite element methods
dc.subjectMixed methods
dc.subjectDiscontinuous Galerkin methods
dc.subjectHybridizable discontinuous Galerkin methods
dc.titleSymplectic Hamiltonian finite element methods for linear elastodynamics
dc.typeartículo
dc.volumen381
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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