摘要
构造并分析二阶对流扩散方程的混合时间间断时空有限元格式.利用混合有限元方法将二阶方程降阶,利用空间连续而时间允许间断的时空有限元方法离散低阶方程.证明数值解的稳定性、存在唯一性和收敛性.最后通过数值结果验证该算法的有效性和可行性.
A mixed time discontinuous space-time fmite element scheme for second order convection diffusion problems is constructed and analyzed. The order of the equation was lowered by mixed finite element method. And the low order equation was discretized by space-time finite element method, continuous in space but discontinuous in time. The stability, existence, uniqueness and convergence of the approximate solutions were proved. Finally, numerical results were presented to illustrate the efficiency of the method.
出处
《应用数学和力学》
CSCD
北大核心
2008年第12期1435-1442,共8页
Applied Mathematics and Mechanics
基金
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(200607010106)
关键词
对流扩散方程
混合有限元法
时间间断时空有限元法
收敛性
convection diffusion equations
mixed finite element method
time discontinuous finite element method
convergence
