L²- Optimal order error for two-dimensional coupled burgers’ equations by weak Galerkin finite element method
Citation
Jabbar Hussein, A. & Kashkool, H. A.-K. (2022). L²- Optimal order error for two-dimensional coupled burgers’ equations by weak Galerkin finite element method. TWMS Journal Of Applied And Engineering Mathematics, 12(1), 34-51.Abstract
In this paper, we present a continuous time and discrete time weak Galerkin finite element schemes for solving non linear two Dimensional coupled Burgers’ equations with a stabilization term. We use special weak form (trilinear form) for nonlinear term. The optimal order error in L²- norm is obtained based on dual argument technique for both continuous time and discrete time weak Galerkin finite element schemes. The Numerical examples are in good agreement with the theoretical analysis and polynomial mixture {Pk(K), Pk−1(∂K), [Pk−1(K)]2}.
Source
TWMS Journal Of Applied And Engineering MathematicsVolume
12Issue
1URI
https://hdl.handle.net/11729/3386http://jaem.isikun.edu.tr/web/index.php/archive/114-vol12no1/791
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