A Nitsche's extended Stochastic finite element method for solving elliptic problem on random domains in porous media

In the present paper we propose a new method named Nitsche's eXtended Stochastic Finite Element Method (NXSFEM) for the numerical solution of partial differential equations defined on random domain with two fluids and interface. This method is based on a mariage between NXFEM method and spectral stochastic method. We prove consistency and stability of the discrete formulation and we present some numerical tests showing the relevance of the method

Hammou Elotmany ()
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Hammou Elotmany: FSTG - Faculté des Sciences et Techniques Guéliz - UCA - Université Cadi Ayyad [Marrakech]

Working Papers from HAL

Date: 2019-02-16
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