The elasticity interface problems occur frequently when two or more materials meet. In this paper, a meshfree point collocation method based on moving kriging interpolation is proposed for solving the two-phase elasticity system with an arbitrary interface. The moving kriging shape function and its derivatives are constructed by moving kriging interpolation technique. Since the shape function possesses the Kronecker delta property then the Dirichlet boundary condition can be implemented directly and easily. Numerical results demonstrate the accuracy and efficiency of the proposed method for the studied problems with constant and variable coefficients.
Taleei, A. (2021). A moving kriging interpolation-based meshfree method for solving two-phase elasticity system. Journal of Mathematical Modeling, 9(1), 1-12. doi: 10.22124/jmm.2020.17088.1484
MLA
Ameneh Taleei. "A moving kriging interpolation-based meshfree method for solving two-phase elasticity system". Journal of Mathematical Modeling, 9, 1, 2021, 1-12. doi: 10.22124/jmm.2020.17088.1484
HARVARD
Taleei, A. (2021). 'A moving kriging interpolation-based meshfree method for solving two-phase elasticity system', Journal of Mathematical Modeling, 9(1), pp. 1-12. doi: 10.22124/jmm.2020.17088.1484
VANCOUVER
Taleei, A. A moving kriging interpolation-based meshfree method for solving two-phase elasticity system. Journal of Mathematical Modeling, 2021; 9(1): 1-12. doi: 10.22124/jmm.2020.17088.1484
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