【摘要】 研究了一类线性对流扩散方程的间断时空有限元方法,即空间连续,时间允许间断的时空有限元方法.将有限元方法和有限差分方法相结合,在每一时间层上充分利用Lagrange插值多项式在Radau点处的特性,给出了有限元解的最优阶L∞(L2)模误差估计.更多还原

【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.更多还原