应用数学2011,Vol.24Issue(1):164-170,7.
对流扩散方程的间断时空有限元方法的误差估计
Error Estimation for Convection-diffusion Equation by the Discontinuous Space-time Finite Element Method
摘要
Abstract
The space-time finite element method, continuous in space but discontinuous in time for a linear convection-diffusion equation is investigated. The approach is based on a combination of finite element and finite difference techniques, taking full advantage of the properties of Lagrange interpolationg polynomials at the Radau points in each time slab. The optimal-order error estimate in L∞ (L2) norm is presented.关键词
时空有限元方法/对流扩散方程/误差估计分类
数理科学引用本文复制引用
刘金存,李宏..对流扩散方程的间断时空有限元方法的误差估计[J].应用数学,2011,24(1):164-170,7.基金项目
国家自然科学基金资助项目(10601022),内蒙古自然科学基金资助项目(20060710106),内蒙古大学青年科学基金资助项目(ND0811) (10601022)