科研之友
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摘要
In this article, a nonconforming quadrilateral element (named modified quasi Wilson element) is applied to solve the nonlinear schrodinger equation (NLSE). On the basis of a special character of this element, that is, its consistency error is of order O(h(3)) for broken H-1-norm on arbitrary quadrilateral meshes, which is two order higher than its interpolation error, the optimal order error estimate and superclose property are obtained. Moreover, the global superconvergence result is deduced with the help of interpolation postprocessing technique. Finally, some numerical results are provided to verify the theoretical analysis.
- 出版日期2017-5
- 单位郑州大学
