An object-oriented tridimensional self-regular boundary element method implementation

Anacleto, F.E.S.; Ribeiro, Tatiana; Ribeiro, Gabriel O; Pitangueira, Roque Luiz da Silva; Penna, Samuel Silva

doi:10.1016/j.enganabound.2013.06.007

Cited by 6 publications

(1 citation statement)

References 31 publications

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“…The processor is the numerical core of the system, responsible for obtaining the results of the analysis. There are different computational methods available for the processor, such as FEM, Fonseca and Pitangueira (2007), Generalized/Extended FEM, Alves et al (2013), Malekan and Barros (2016), Malekan et al (2016aMalekan et al ( , 2016bMalekan et al ( , 2017, and Boundary element method, Anacleto et al (2013), Peixoto et al (2016).…”

Section: Interactive Structural Analysis Environment (Insane)mentioning

confidence: 99%

Imposition of Dirichlet Boundary Conditions in Element Free Galerkin Method through an Object-Oriented Implementation

Hosseini

Malekan

Pitangueira

et al. 2017

Lat. Am. j. solids struct.

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One of the main drawbacks of Element Free Galerkin (EFG) method is its dependence on moving least square shape functions which don't satisfy the Kronecker Delta property, so in this method it's not possible to apply Dirichlet boundary conditions directly. The aim of the present paper is to discuss different aspects of three widely used methods of applying Dirichlet boundary conditions in EFG method, called Lagrange multipliers, penalty method, and coupling with finite element method. Numerical simulations are presented to compare the results of these methods form the perspective of accuracy, convergence and computational expense. These methods have been implemented in an object oriented programing environment, called IN-SANE, and the results are presented and compared with the analytical solutions.

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