Interface relaxation algorithms for BEM–BEM coupling and FEM–BEM coupling

Elleithy, Wael; Tanaka, Masataka

doi:10.1016/s0045-7825(03)00312-8

Cited by 44 publications

(36 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Within the iteration procedure, a relaxation operator is applied to the interface boundary conditions in order to enable and speed up convergence. In this sense, the iterative coupling approaches are better called interface relaxation FEM-BEM coupling methods [25,27]. The interface relaxation FEM-BEM (Dirichlet-Neumann) coupling method in elasto-plasticity is 1027 outlined as: Set initial guess ( F u C ) n=0 (where n is the iteration number).…”

Section: Coupled Fem-bem In Elasto-plasticitymentioning

confidence: 99%

An adaptive domain decomposition coupled finite element–boundary element method for solving problems in elasto‐plasticity

Elleithy

Grzhibovskis

2009

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYThe purpose of this paper is to present an adaptive finite element-boundary element method (FEM-BEM) coupling method that is valid for both two-and three-dimensional elasto-plastic analyses. The method takes care of the evolution of the elastic and plastic regions. It eliminates the cumbersome of a trial and error process in the identification of the FEM and BEM sub-domains in the standard FEM-BEM coupling approaches. The method estimates the FEM and BEM sub-domains and automatically generates/adapts the FEM and BEM meshes/sub-domains, according to the state of computation. The results for two-and three-dimensional applications in elasto-plasticity show the practicality and the efficiency of the adaptive FEM-BEM coupling method.

show abstract

Section: Coupled Fem-bem In Elasto-plasticitymentioning

confidence: 99%

An adaptive domain decomposition coupled finite element–boundary element method for solving problems in elasto‐plasticity

Elleithy

Grzhibovskis

2009

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…Several strategies exist for the coupling of BEMs and FEMs (e.g., [6,7,9,15]). This paper is focused on mixeddimensional coupling, i.e., different types of degrees of freedom (DOF) may appear at the interface (Sect.…”

Section: General Coupling Strategymentioning

confidence: 99%

“…Apart from the iterative coupling strategies [6,7], there are basically two ways of coupling 2D finite shell elements with 3D boundary elements directly. The more understandable method is the kinematic coupling.…”

Section: Improved 2d/3d Couplingmentioning

confidence: 99%

Improved Coupling of Finite Shell Elements and 3D Boundary Elements

2006

View full text Add to dashboard Cite

A strategy for the mixed-dimensional coupling of finite shell elements and 3D boundary elements is presented. The stiffness formulation for the boundary element domain is generated by the 3D symmetric Galerkin boundary element method and thus can be assembled to the global finite element formulation. Based on the equality of work at the coupling interface, coupling equations in an integral sense are derived for curved coupling interfaces and formulated as multipoint constraints in terms of kinematic quantities. Several examples show the highly accurate results compared to a strict kinematic coupling technique.

show abstract

“…The boundary element method (BEM) will allow us to solve new and more realistic crack problems with complex geometry for geoscience applications (Ritz et al 2012). BEM requires fewer boundary elements than the finite element method (FEM) when achieving the same accuracy (Ghassemi et al 2001;Elleithy and Tanaka 2003;Ghassemi and Zhang 2004;Soares et al 2004;Gun and Gao 2014;Cheng et al 2015). The multi-annulus structure consisting different materials belongs to a set of boundary value problems with the correlated constraints on the boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Numerical stress analysis for the multi-casing structure inside a wellbore in the formation using the boundary element method

et al. 2016

View full text Add to dashboard Cite

A multi-casing structure in drilling engineering can be considered as an inhomogeneous body consisting of many different materials. The mechanical behavior of the inhomogeneous body in an infinite domain is very complicated. In this paper, a detailed expression about the fictitious stress method of the boundary element method (BEM) is demonstrated for the inhomogeneous body. Then the fictitious stress method is deployed to investigate the stresses for the multi-casing structure under non-uniform loading conditions and an irregular wellbore. Three examples of the multi-casing structure in the borehole imply the high effectiveness of BEM for complex geometries related to the borehole in an infinite formation. The effects of casing eccentricity and the interfacial gap on the stress field are discussed. The eccentric casing takes the potential yield when the eccentric orientation is along the direction of S h . Under different eccentric orientations, the von Mises stress in the casing increases with increasing degree of eccentricity. The radial stress in the multi-casing structure is always continuous along the radius, but the circumferential stress is discontinuous at the interface. The radial stress decreases and the circumferential stress increases with the increasing of the interfacial gap between the adjacent materials.

show abstract

Interface relaxation algorithms for BEM–BEM coupling and FEM–BEM coupling

Cited by 44 publications

References 15 publications

An adaptive domain decomposition coupled finite element–boundary element method for solving problems in elasto‐plasticity

An adaptive domain decomposition coupled finite element–boundary element method for solving problems in elasto‐plasticity

Improved Coupling of Finite Shell Elements and 3D Boundary Elements

Numerical stress analysis for the multi-casing structure inside a wellbore in the formation using the boundary element method

Contact Info

Product

Resources

About