A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes

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• 作者：Dongyang Shi ; ^{zzshidy@126.com" class="auth_mail" title="E-mail the corresponding author} ; ^{shi_dy@zzu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Huaijun Yang
• 关键词：BBM equation ; Semi- and fully-discrete schemes ; Superclose and superconvergence ; Anisotropic meshes
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：58
• 期：Complete
• 页码：74-80
• 全文大小：1563 K

文摘

A new approach of linear triangular finite element method (FEM) is developed for nonlinear BBM equation on anisotropic meshes. Based on the superclose estimate between the interpolation and Ritz projection of this element together with post-processing technique, the superclose and superconvergence results are derived for the semi-discrete and Crank–Nicolson fully-discrete schemes. Finally, a numerical example is carried out to demonstrate the theoretical analysis.