摘要
构造半线性四阶强阻尼波动方程的新H^1-Galerkin混合有限元方法,得到一维情况下半离散和全离散格式最优收敛阶误差估计,并且推广到二维和三维情况,不用验证LBB相容性条件.
A new H^1-Galerkin mixed finite element method is constructed for fourth-order heavy damping wave equation. Optimal error estimates are derived for both semidiscrete and fully discrete schemes for problems in one space dimension. An extension to problems in two-and three space variable are discussed, and it dose not require the LBB consistency condition.
出处
《计算数学》
CSCD
北大核心
2010年第2期157-170,共14页
Mathematica Numerica Sinica
基金
国家自然科学基金(10601022)
内蒙古自然科学基金(200607010106)
内蒙古大学青年科学基金(ND0702)项目
