Iterative coupling of BE and FE methods in elastostatics

Elleithy, Wael; Al-Gahtani, Husain J.; El-Gebeily, M. A.

doi:10.1016/s0955-7997(01)00054-6

Cited by 63 publications

(61 citation statements)

References 14 publications

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“…The reader is referred to the text books by Bathe (1996) and Petyt (1998) for a detailed explanation of the FEM, whereas information about the BEM can be found, for example, in the work by Brebbia (1982) and Domínguez (1993). The coupling of BEM and FEM schemes has been discussed by, among others, Mustoe (1980), von Estorff & Kausel (1989, Stamos & Beskos (1995), Jones et al (1999), Elleithy et al (2001) and Andersen (2002). In the present example, a closed boundary-element (BE) domain is applied for the soil inside the bucket and an open BE domain is utilised for the remaining half-space.…”

Section: Example: a Flexible Foundation Embedded In Viscoelastic Soilmentioning

confidence: 99%

Efficient Modelling of Wind Turbine Foundations

Andersen¹,

Clausen²

2011

Fundamental and Advanced Topics in Wind Power

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Section: Example: a Flexible Foundation Embedded In Viscoelastic Soilmentioning

confidence: 99%

Efficient Modelling of Wind Turbine Foundations

Andersen¹,

Clausen²

2011

Fundamental and Advanced Topics in Wind Power

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“…For the current application, a choice around = 0.5 was found to be most appropriate. Some more details about the choice of are given in Reference [25].…”

Section: Iterative Coupling Proceduresmentioning

confidence: 99%

“…To be able to solve the coupled system of equations in a more efficient way, Elleithy et al [25] followed the idea of coupling the FEM and the BEM iteratively. However, they were interested only in the solution of elastostatic problems.…”

Section: Introductionmentioning

confidence: 99%

Efficient non-linear solid-fluid interaction analysis by an iterative BEM/FEM coupling

Soares

Estorff

Mansur

2005

Int. J. Numer. Meth. Engng

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SUMMARYAn iterative coupling of finite element and boundary element methods for the time domain modelling of coupled fluid-solid systems is presented. While finite elements are used to model the solid, the adjacent fluid is represented by boundary elements. In order to perform the coupling of the two numerical methods, a successive renewal of the variables on the interface between the two subdomains is performed through an iterative procedure until the final convergence is achieved. In the case of local non-linearities within the finite element subdomain, it is straightforward to perform the iterative coupling together with the iterations needed to solve the non-linear system. In particular a more efficient and a more stable performance of the new coupling procedure is achieved by a special formulation that allows to use different time steps in each subdomain.

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“…see Abraham et al [5] , and the edge-to-edge decomposition method. Domain decompositions were also applied to discretization methods such as finite difference or finite element methods, particularly for the parallel implementation of the finite element method [6] [7] and the coupling methods of BEM(boundary element method) with FEM [8] [9] . The outline of this paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

Coupling Methods for Continuum Model with Molecular Model

Belytschko

Xiao

2003

Int J Mult Comp Eng

238

179

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Coupling methods for continuum models with molecular models are developed. Two methods are studied here: an overlapping domain decomposition method, which has overlapping domain, and an edge-to-edge decomposition method, which has an interface between two models. These two methods enforce the compatibility on the overlapping domain or interface nodes/atoms by the Lagrange multiplier method or the augmented Lagrangian method.

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Iterative coupling of BE and FE methods in elastostatics

Cited by 63 publications

References 14 publications

Efficient Modelling of Wind Turbine Foundations

Efficient Modelling of Wind Turbine Foundations

Efficient non-linear solid-fluid interaction analysis by an iterative BEM/FEM coupling

Coupling Methods for Continuum Model with Molecular Model

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