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非线性Pochhammer-Chree方程的有限元方法误差估计

The Finite Element Method Error Estimates for Nonlinear Pochhammer-Chree Equation
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摘要 用有限元方法研究了弹性杆纵向形变方程:utt-uttxx-uxx-1p(up)xx=0的初边值问题,构造了半离散和全离散两种格式,并在两种格式下均得到了H1模最优阶误差估计. An initial-boundary value problem of the nonlinear Pochhammer-Chree equation with the finite element method is studied in this paper. A semi-discrete and a full discrete schemes are presented, and the optimal order error estimates in H^1 norms are obtained.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第1期22-25,共4页 Journal of Henan Normal University(Natural Science Edition)
基金 河南省自然科学基金(0111010100)
关键词 有限元方法 非线性POCHHAMMER-CHREE方程 误差估计 nonlinear Pochhammer-Chree equation finite element method error estimates
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  • 6刘广军,段广森.非线性弹性杆内纵向波方程的孤立波解[J].河南师范大学学报(自然科学版),2001,29(3):101-103. 被引量:3

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