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T. Nguyen-Thoi, P. Phung-Van, S. Nguyen-Hoang, Q. Lieu-Xuan; A smoothed coupled NS/nES-FEM for dynamic analysis of 2D fluid-solid interaction problems. Applied Mathematics and Computation, Vol. 232 (2014), pp. 324-346 (SCIE).


A node-based smoothed finite element method (NS-FEM-T3) using triangular elements and a n-sided polygonal edge-based smoothed FEM (nES-FEM) using polygonal elements is combined to give the smoothed coupled NS/nES-FEM for dynamic analysis of two-dimensional (2D) fluid–solid interaction problems based on the pressure–displacement formulation. In the present method, the NS-FEM-T3 is used for the fluid domain and the gradient of pressure is smoothed, while the nES-FEM is used for the solid domain and the gradient of displacement is smoothed. This gradient smoothing technique can provide proper softening effect, which will effectively relieve the overly stiff behavior of the FEM model and thus improve significantly the solution of coupled system. Some numerical examples have been presented to illustrate the effectiveness of the coupled NS/nES-FEM compared with some existing methods for 2D fluid–solid interaction problems.


  • Numerical methods;
  • Node-based smoothed finite element method (NS-FEM);
  • n-Sided polygonal edge-based smoothed finite element method (nES-FEM);
  • Fluid–solid interaction problems;
  • Gradient smoothing technique;
  • Dynamic analysis
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