Analysis of the stabilized element free Galerkin approximations to the Stokes equations.
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| Title: | Analysis of the stabilized element free Galerkin approximations to the Stokes equations. |
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| Authors: | Kamranian, Maryam1 (AUTHOR) m.kamranian@aut.ac.ir, Tatari, Mehdi1,2,3 (AUTHOR) mtatari@cc.iut.ac.ir, Dehghan, Mehdi1 (AUTHOR) mdehghan.aut@gmail.com |
| Source: | Applied Numerical Mathematics. Apr2020, Vol. 150, p325-340. 16p. |
| Subjects: | Stokes equations, Galerkin methods, Least squares, Sobolev spaces |
| Abstract: | This paper introduces an element free Galerkin method for solving Stokes equations based on the velocity-pressure formulation. A consistently stabilized element free Galerkin method is proposed and Nitsche's method is applied. We formulate and study the optimal convergence of this method. For this purpose, the concept of the vector-valued moving least squares approximation is employed to derive the error estimation in Sobolev spaces. Finally we report some numerical experiments to illustrate the accuracy of the proposed method. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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