Least-squares mixed finite element method for a class of stokes equation |
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| Authors: | Gu Haiming Doctor Associate Professor Yang Danping Sui Shulin Liu Xinmin |
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| Institution: | (1) Department of Computers, Qingdao Institute of Chemical Technology, 266042 Qingdao, P R China;(2) Department of Mathematics, Shandong University, 250100 Jinan, P R China |
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| Abstract: | A least_squares mixed finite element method was formulated for a class of Stokes equations in two dimensional domains. The steady state and the time_dependent Stokes' equations were considered. For the stationary equation, optimal H 1 and L 2 _error estimates are derived under the standard regularity assumption on the finite element partition(the LBB_condition is not required). For the evolutionary equation, optimal L 2 estimates are derived under the conventional Raviart_Thomas spaces. |
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| Keywords: | least_squares mixed finite element method error estimates |
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