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

LIU Yang; LI Hong; HE Siriguleng

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(12): 1435-1442

LIU Yang, LI Hong, HE Siriguleng. Mixed Time Discontinuous Space-Time Finite Element Method for Convection Diffusion Equations[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1435-1442.

Citation:

LIU Yang, LI Hong, HE Siriguleng. Mixed Time Discontinuous Space-Time Finite Element Method for Convection Diffusion Equations[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1435-1442.

Citation:

LIU Yang, LI Hong, HE Siriguleng. Mixed Time Discontinuous Space-Time Finite Element Method for Convection Diffusion Equations[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1435-1442.

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

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

Received Date: 2008-03-01
Rev Recd Date: 2008-10-16
Publish Date: 2008-12-15

Abstract

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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References(10)

References

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