摘要
采用Galerkin间断时空有限元法来处理对流占优微分积分方程,在时间离散区间内,利用Radau点处Lagrange插值多项式的特点,去掉间断时空有限元证明过程中对时空网格的限制条件,并给出了时间最大模、空间L_2模.
In this article, the Galerkin Space-Time Discontinuous Finite Element Method is chosen to process convection-dominated parabolic integrodifferential equations. At discrete intervals of time, we make use of the properties of Lagrange Interpolating polynomials at Radau spot to eliminate the restriction condition of Space-Time meshes of conventional space-time discontinuous Glerkin methods, and obtain the maximum-norm in time and the L -norm in space.
出处
《东莞理工学院学报》
2008年第5期20-25,共6页
Journal of Dongguan University of Technology
基金
国家自然科学基金资助项目(10871031)
关键词
对流占优微分积分方程
间断时空有限元
误差估计
convection-dominated parabolic integrodifferential equations
space-time discontinuous finite element method
error estimate
