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Information Journal Paper

Title

COMPARISON OF DIFFUSE ELEMENT AND ELEMENT-FREE GALERKIN METHOD IN NUMERICAL SOLUTION OF BOUSSINESQ PROBLEM IN SOIL

Pages

  10-14

Abstract

 It has been more than a decade since MESH-FREE METHODS gained considerable attention in engineering and science. The main distinction of the methods with respect to the FEM is their shape functions. In this regard, DIFFUSE ELEMENT METHOD (DEM) employs Least-Squares (LS) approximation, while ELEMENT-FREE GALERKIN METHOD (EFGM) benefits from Moving-Least-Squares (MLS) approximation for shape function construction. In order to compare the results of the methods, Boussinesq problem, which has closed-form solution, is used as a benchmark. The results are compared in displacement and stress fields. Finally, it is concluded that EFGM error is less than DEM in the both fields. This is more pronounced in stress field due to weight function being constant in DEM.

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  • Cite

    APA: Copy

    AHMADI, M.M., & NEMATI HAYATI, A.. (2008). COMPARISON OF DIFFUSE ELEMENT AND ELEMENT-FREE GALERKIN METHOD IN NUMERICAL SOLUTION OF BOUSSINESQ PROBLEM IN SOIL. JOURNAL OF CIVIL ENGINEERING ISLAMIC AZAD UNIVERSITY, 1(2), 10-14. SID. https://sid.ir/paper/199434/en

    Vancouver: Copy

    AHMADI M.M., NEMATI HAYATI A.. COMPARISON OF DIFFUSE ELEMENT AND ELEMENT-FREE GALERKIN METHOD IN NUMERICAL SOLUTION OF BOUSSINESQ PROBLEM IN SOIL. JOURNAL OF CIVIL ENGINEERING ISLAMIC AZAD UNIVERSITY[Internet]. 2008;1(2):10-14. Available from: https://sid.ir/paper/199434/en

    IEEE: Copy

    M.M. AHMADI, and A. NEMATI HAYATI, “COMPARISON OF DIFFUSE ELEMENT AND ELEMENT-FREE GALERKIN METHOD IN NUMERICAL SOLUTION OF BOUSSINESQ PROBLEM IN SOIL,” JOURNAL OF CIVIL ENGINEERING ISLAMIC AZAD UNIVERSITY, vol. 1, no. 2, pp. 10–14, 2008, [Online]. Available: https://sid.ir/paper/199434/en

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