Combining set propagation with finite element methods for time integration in transient solid mechanics problems

•Novel approach for time integration in heat transfer and structural dynamics.•Procedure based on reachability analysis techniques and finite element discretization.•Solution sets include all exact trajectories converging to the true reachable states.•Set-based initial conditions or loads can be han...

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Bibliographic Details
Published in:	Computers & structures Vol. 259; p. 106699
Main Authors:	Forets, Marcelo, Freire Caporale, Daniel, Pérez Zerpa, Jorge M.
Format:	Journal Article
Language:	English
Published:	New York Elsevier Ltd 15.01.2022 Elsevier BV
Subjects:	Algorithms Discretization Equations of motion Finite element method Heat transfer Initial conditions Mathematical models Methods Numerical integration Numerical methods Numerical verification Partial differential equations Propagation Reachability analysis Solid mechanics Structural dynamics Time integration Finite element method Structural dynamics Reachability analysis Numerical verification Heat transfer
ISSN:	0045-7949, 1879-2243
Online Access:	Get full text
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