Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904525 | Acta Mathematica Scientia | 2017 | 9 Pages |
Abstract
In this article, a nonconforming quadrilateral element (named modified quasi-Wilson element) is applied to solve the nonlinear schrödinger equation (NLSE). On the basis of a special character of this element, that is, its consistency error is of order O(h3) for broken H1-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Dongyang SHI, Xin LIAO, Lele WANG,