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Element Free and Improved Element Free Galerkin Methods for One and Two-Dimensional Potential Problems

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Design and Modeling of Mechanical Systems - II

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

Potential difficulties appears with various physical and engineering problems where functions satisfy a given partial differential equations and particular boundary conditions. From problems which are time independent and involve only space coordinates, one- dimensional examples and bidimensional diffusion equations are studied using two meshless methods: Element Free Galerkin (EFG) and Improved Element free Galerkin(IEFG).These two methods give good results when compared with analytical solution, but IEFG method based on IMLS approximation is in a higher computing speed and precision.

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Author information

Authors and Affiliations

  1. LGM, ENIM, Univercity of Monastir, Monastir, Tunisia

    Imen Debbabi, Zohra sendi & Hédi Belhadj Salah

Authors
  1. Imen Debbabi
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  2. Zohra sendi
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  3. Hédi Belhadj Salah
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Corresponding author

Correspondence to Imen Debbabi .

Editor information

Editors and Affiliations

  1. National School of Engineers of Monastir, Monastir, Tunisia

    Mnaouar Chouchane

  2. National School of Engineers of Sfax, Sfax, Tunisia

    Tahar Fakhfakh

  3. National School of Engineers of Sousse, Sousse Erriadh, Tunisia

    Hachmi Ben Daly

  4. Preparatory Institute for Engineering Studies, Monastir, Tunisia

    Nizar Aifaoui

  5. National School of Engineers of Sfax, Sfax, Tunisia

    Fakher Chaari

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Debbabi, I., sendi, Z., Salah, H.B. (2015). Element Free and Improved Element Free Galerkin Methods for One and Two-Dimensional Potential Problems. In: Chouchane, M., Fakhfakh, T., Daly, H., Aifaoui, N., Chaari, F. (eds) Design and Modeling of Mechanical Systems - II. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-17527-0_20

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  • DOI: https://doi.org/10.1007/978-3-319-17527-0_20

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17526-3

  • Online ISBN: 978-3-319-17527-0

  • eBook Packages: EngineeringEngineering (R0)

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