对流扩散方程的混合时间间断时空有限元方法

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(200607010106)

Mixed Time Discontinuous Space-Time Finite Element Method for Convection Diffusion Equations

School of Mathematical Sciences, Inner Mongolia University, Huhhot 010021, P. R. China

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．
- 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
Abstract: A mixed time discontinuous space-time finite 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.
- convection diffusion equations /
- mixed finite element method /
- time discontinuous finite element method /
- convergence

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