Mixed time discontinuous space-time finite element method for convection diffusion equations 被引量：1

Mixed time discontinuous space-time finite element method for convection diffusion equations

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摘要 A mixed time discontinuous space-time finite element scheme for secondorder convection diffusion problems is constructed and analyzed. Order of the equation is lowered by the mixed finite element method. The low order equation is discretized with a space-time finite element method, continuous in space but discontinuous in time. Stability, existence, uniqueness and convergence of the approximate solutions are proved. Numerical results are presented to illustrate efficiency of the proposed method. A mixed time discontinuous space-time finite element scheme for secondorder convection diffusion problems is constructed and analyzed. Order of the equation is lowered by the mixed finite element method. The low order equation is discretized with a space-time finite element method, continuous in space but discontinuous in time. Stability, existence, uniqueness and convergence of the approximate solutions are proved. Numerical results are presented to illustrate efficiency of the proposed method.

作者刘洋李宏何斯日古楞

机构地区 School of Mathematical Sciences

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第12期1579-1586,共8页 应用数学和力学（英文版）

基金 supported by the National Natural Science Foundation of China (No. 10601022) NSF ofInner Mongolia Autonomous Region of China (No. 200607010106) 513 and Science Fund of InnerMongolia University for Distinguished Young Scholars (No. ND0702)

关键词 convection diffusion equations mixed finite element method time discontinuous space-time finite element method CONVERGENCE convection diffusion equations, mixed finite element method, time discontinuous space-time finite element method, convergence

分类号 O241.82 [理学—计算数学]

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