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A novel conjoined space–time formulation for explicit analyses of dynamic models

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Abstract

In this paper, a novel explicit time-marching procedure is proposed, which adapts to the properties of the spatially discretized model. In this context, the time integrators of the method are locally defined, following the physical/geometrical features of the elements of the adopted spatial discretization, in a way that reduced dissipative and dispersive errors are provided, as well as extended stability limits are enabled. As it is discussed along this manuscript, the proposed novel conjoined space–time solution procedure is very simple to implement and to apply and it allows enhanced performances, providing better accuracy and more efficient analyses than standard time integration techniques. At the end of the paper, numerical results are presented, illustrating the versatility and effectiveness of the proposed new methodology.

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Acknowledgements

The financial support by CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) and FAPEMIG (Fundação de Amparo à Pesquisa do Estado de Minas Gerais) is greatly acknowledged.

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Authors and Affiliations

  1. Structural Engineering Department, Federal University of Juiz de Fora, Juiz de Fora, MG, CEP 36036-330, Brazil

    Delfim Soares Jr.

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  1. Delfim Soares Jr.
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Soares, D. A novel conjoined space–time formulation for explicit analyses of dynamic models. Engineering with Computers 39, 2109–2123 (2023). https://doi.org/10.1007/s00366-021-01565-7

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