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math.NA2012★ 34 cited
A C^0-Weak Galerkin Finite Element Method for the Biharmonic Equation
Lin Mu, Junping Wang, Xiu Ye +1
A C^0-weak Galerkin (WG) method is introduced and analyzed for solving the biharmonic equation in 2D and 3D. A weak Laplacian is defined for C^0 functions in the new weak formulati…
math.NA2012★ 2 cited
Flux-conserving finite element methods
Shangyou Zhang, Zhimin Zhang, Qingsong Zou
We analyze the flux conservation property of the finite element method. It is shown that the finite element solution does approximate the flux locally in the optimal order, i.e., t…