A posteriori error estimates of stabilized finite volume method for the Stokes equations |
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Authors: | Tong Zhang Lin Mu JinYun Yuan |
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Institution: | 1. School of Mathematics & Information Science, Henan Polytechnic University, Jiaozuo, China;2. Departamento de Matemática, Universidade Federal do Paraná, Curitiba, Brazil;3. Department of Mathematics, Michigan State University, Michigan, USA |
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Abstract: | In this work, the residual‐type posteriori error estimates of stabilized finite volume method are studied for the steady Stokes problem based on two local Gauss integrations. By using the residuals between the source term and numerical solutions, the computable global upper and local lower bounds for the errors of velocity in H1 norm and pressure in L2 norm are derived. Furthermore, a global upper bound of u ? uh in L2‐norm is also derived. Finally, some numerical experiments are provided to verify the performances of the established error estimators. Copyright © 2015 John Wiley & Sons, Ltd. |
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Keywords: | a posteriori error estimates stabilized finite volume method Stokes equations dual argument |
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