文章基本信息

标题：An expanded mixed covolume element method for integro-differential equation of Sobolev type on triangular grids
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作者：Zhichao Fang ; Hong Li ; Yang Liu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：143
DOI：10.1186/s13662-017-1201-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：The expanded mixed covolume Element (EMCVE) method is studied for the two-dimensional integro-differential equation of Sobolev type. We use a piecewise constant function space and the lowest order Raviart-Thomas ( RT 0 $\mathit{RT}_($ ) space as the trial function spaces of the scalar unknown u and its gradient σ and flux λ, respectively. The semi-discrete and backward Euler fully-discrete EMCVE schemes are constructed, and the optimal a priori error estimates are derived. Moreover, numerical results are given to verify the theoretical analysis.
关键词：integro-differential equation of Sobolev type ; expanded mixed covolume element method ; optimal a priori error estimate