Periodic boundary conditions in element free Galerkin method

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering - Tập 28 Số 4 - Trang 922-934 - 2009
E.H.R.Coppoli1, R.C.Mesquita2, R.S.Silva3
1Centro Federal de Educação Tecnológica de Minas Gerais, Belo Horizonte, Brazil
2Universidade Federal de Minas Gerais, Belo Horizonte, Brazil
3Laboratório Nacional de Computação Científica, Petrópolis, Brazil

Tóm tắt

PurposeThe purpose of this paper is to introduce a new methodology to implement periodic and anti‐periodic boundary conditions in the element free Galerkin method (EFGM).Design/methodology/approachThis paper makes use of the interpolating moving least squares (IMLS) in the EFGM to implement periodic and anti‐periodic boundary conditions. This fact allows imposing periodic and anti‐periodic boundary conditions in a way similar to the one used by the finite element method.FindingsEFGM generally uses the moving least squares to obtain its shape functions. So, these functions do not possess the Kronecker delta property. As a consequence, the imposition of essential, as well as periodic and anti‐periodic boundary conditions needs other techniques to do it. When EFGM makes use of IMLS the shape functions satisfy the Kronecker delta property. As consequence the periodic boundary conditions implementation can be done in a direct way, similar to the FEM.Originality/valueIMLS provides a new way of periodic boundary conditions implementation in EFGM. This kind of implementation provides an easy and direct way in comparison to usual existing methods. With this technique EFGM can now easily take advantage of electrical machines symmetry.

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COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Tập 28 Số 4

922-934

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