Adaptivity in mimetic difference schemes: one-dimensional transient problems

Caldern, G; E, J C Carrillo; Villamizar, Jorge; Torres, Claudia del Carmen Gutiérrez; Castillo, José E.

doi:10.1088/1742-6596/1159/1/012019

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…This field advanced by efforts of Patton et al [17] on laminated composite plastic and endeavors of Chi et al [18]. Caldern et al [19], Kim and Jang [20], Sracic and Elke [21], Boffi and Gastaldi [22], Prato Torres et al [23], Ganis et al [24] and Song et al [25] advanced this field by essays and all of them performed efforts on applications of error estimation and the AFEM.…”

Section: Introductionmentioning

confidence: 99%

A New Nodal Stress Recovery Technique in Finite Element Method Using Colliding Bodies Optimization Algorithm

Kaveh

Seddighian

2019

Period. Polytech. Civil Eng.

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In Finite Element Method (FEM), the stress components are calculated within the elements firstly, and then these components are recovered to the nodes. For the recovery process, there are several well-known methods in which the increase of their accuracy imposes additional costs into the problem. In this paper, a new nodal stress recovery technique is proposed in which Colliding Bodies Optimization (CBO) Algorithm fits an appropriative function for nodal stress fields. The CBO employs this function to compute the stress components in the nodal coordinates. Therefore, a particular model to stress fields and its components will be available. It can be considered as a connection between analytical approaches and numerical methods, providing benefits of both categories. Finally, the accuracy, efficiency, and applicability of the new technique are investigated employing three diverse examples.

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