摘要
讨论了Sobolev方程初边值问题全离散化的H1-Galerk in混合有限元解的误差估计.在处理解的误差估计时,通常采用Galerk in-有限元法或混合有限元法,本文采用H1-Galer-k in混合有限元法,给出了Sobolev方程初边值问题的H1-Galerk in混合有限元法全离散数值格式,得到了关于未知函数及其伴随向量函数H1-Galerk in混合有限元解与真解的H1模最优阶误差估计.
A fully discrete error estimate of H^1-Galerkin mixed finite element methods for the Sobolev equation is discussed . To deal with the error estimate problem, Galerkin finite element method or Galerkin mixed finite element method is usually used. In this paper, the H^1-Galerkin mixed finite element method is used. A fully discrete scheme of H^1-Galerkin mixed finite element methods for the Sobolev equation is derived, and the optimal error estimates for the unknown function and its gradient in H^1-norm are obtained.
出处
《烟台大学学报（自然科学与工程版）》
CAS
2006年第1期16-19,共4页
Journal of Yantai University(Natural Science and Engineering Edition)
