J. Sadoon, J., A. Kashkool, H. (2012). The Error Analysis of Linearized Modification of Galerkin Finite Element Method for Numerical Reservoir Simulation. Alustath, 30(2), 44-60.
Jawad J. Sadoon; Hashim A. Kashkool. "The Error Analysis of Linearized Modification of Galerkin Finite Element Method for Numerical Reservoir Simulation". Alustath, 30, 2, 2012, 44-60.
J. Sadoon, J., A. Kashkool, H. (2012). 'The Error Analysis of Linearized Modification of Galerkin Finite Element Method for Numerical Reservoir Simulation', Alustath, 30(2), pp. 44-60.
J. Sadoon, J., A. Kashkool, H. The Error Analysis of Linearized Modification of Galerkin Finite Element Method for Numerical Reservoir Simulation. Alustath, 2012; 30(2): 44-60.

The Error Analysis of Linearized Modification of Galerkin Finite Element Method for Numerical Reservoir Simulation

basrah journal of science
Article 1, Volume 30, Issue 2, December 2012, Pages 44-60    PDF (0 K)
Authors
Jawad J. Sadoon; Hashim A. Kashkool
Abstract
In this paper we discuss two phase immiscible flow in porous media governed by a system of nonlinear partial differential equations raised from reservoir simulation. Crank-Nicholson –Galerkin finite element method and lineari zed Crank-Nicolson –Galerkin finite element Predictor- corrector method are constructed respectively. We show that the discretization error of linearized Crank-Nicholson-Galerkin method is o(k^2) , where k refers to the time step for both schemes.
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