Convergence analysis and error estimates of the element-free Galerkin method for a class of parabolic evolutionary variational inequalities |
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Authors: | Rui Ding Quan Shen Zhengcheng Zhu |
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Affiliation: | 1. School of Mathematical Sciences, Soochow University, Suzhou 215006, China;2. School of Urban Rail Transportation, Soochow University, Suzhou 215131, China |
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Abstract: | This paper is presented for the convergence analysis of the element-free Galerkin method for a class of parabolic evolutionary variational inequalities arising from the heat-servo control problem. The error estimates illustrate that the convergence order depends not only on the number of basis functions in the moving least-squares approximation but also the relationship with the time step and the spatial step. Numerical examples verify the convergence analysis and the error estimates. |
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Keywords: | Element-free Galerkin method Parabolic evolutionary variational inequalities Moving least-squares approximation |
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