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Meshless Methods Introduction

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Book cover Meshless Methods in Biomechanics

Part of the book series: Lecture Notes in Computational Vision and Biomechanics ((LNCVB,volume 16))

Abstract

In this chapter the most important meshless method concepts are detailed introduced. The chapter stars with a generic description on the meshless procedure. Additionally, it is presented a brief comparison between procedures of the finite element method (FEM) and the meshless method. Afterwards the meshless method nodal connectivity is addressed. Techniques to enforce the nodal connectivity in meshless methods are presented, such as the classic “influence-domain” concept and the recently developed “influence-cell” methodology. Then, it is presented a broad description of the integration schemes used in the numerical examples shown in this book: the Gauss-Legendre quadrature scheme and a flexible nodal based integration scheme. The final section of this chapter presents explicitly the generic numerical implementation of approximation and interpolation meshless methods based on the Galerkin weak formulation.

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Authors and Affiliations

  1. Mechanical Engineering Department, Universidade do Porto, Porto, Portugal

    Jorge Belinha

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  1. Jorge Belinha
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Belinha, J. (2014). Meshless Methods Introduction. In: Meshless Methods in Biomechanics. Lecture Notes in Computational Vision and Biomechanics, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-319-06400-0_3

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  • DOI: https://doi.org/10.1007/978-3-319-06400-0_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06399-7

  • Online ISBN: 978-3-319-06400-0

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