Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation

TANG Qiong; CHEN Chuan-miao; LIU Luo-hua

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TANG Qiong, CHEN Chuan-miao, LIU Luo-hua. Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation[J]. Applied Mathematics and Mechanics, 2006, 27(3): 300-304.

Citation:

TANG Qiong, CHEN Chuan-miao, LIU Luo-hua. Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation[J]. Applied Mathematics and Mechanics, 2006, 27(3): 300-304.

Citation:

TANG Qiong, CHEN Chuan-miao, LIU Luo-hua. Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation[J]. Applied Mathematics and Mechanics, 2006, 27(3): 300-304.

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Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation

1.
Department of Mathematics and Computing Science, Hunan Normal University, Changsha 410081, P. R. China;

Received Date: 2004-11-23
Rev Recd Date: 2005-11-18
Publish Date: 2006-03-15

Abstract

Abstract

Energy conservation of non-linear Schrêdinger ordinary differential equation was proved through using ordinary differential equation's continuous finite element methods;Energy integration conservation was proved through using space-time all continuous fully discrete finite element methods and electron nearly conservation with higher order error through using time discontinuous only space continuos finite element methods of non-linear Schrêdinger partial equation.The numerical results are in accordance with the theory.
- non-linear Schrê,
- dinger equation,
- space-time finite element method,
- energy integration

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References(6)

References

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