A generalized element-free Galerkin method for Stokes problem. (1st May 2018)

• Record Type: Journal Article
• Authors: Zhang, Tao; Li, Xiaolin
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 9(2018)
• Page Start: 3127
• Page End: 3138
• Publication Date: 2018-05-01
• Subjects: Meshless method -- Moving least squares approximation -- Partition of unity method -- Element-free Galerkin method -- Stokes problem; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.01.035
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: A generalized element-free Galerkin (GEFG) method is developed in this paper for solving Stokes problem in primitive variable form. To obtain stable numerical results for both velocity and pressure, extended terms are only introduced into the approximate space of velocity in a special way as that in the generalized finite element method. Theoretical analysis shows that the GEFG method implies a stabilized formulation similar to that in the variational multiscale element-free Galerkin (VMEFG) method. Numerical results show the efficiency of the present method and reveal that both computational errors and CPU times of the present method are less than those of the VMEFG and the finite element methods.