Criteria for Finite Element Algorithm of Generalized Heat Conduction Equation

Ouyang Hua-jiang

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Ouyang Hua-jiang. Criteria for Finite Element Algorithm of Generalized Heat Conduction Equation[J]. Applied Mathematics and Mechanics, 1992, 13(6): 563-571.

Citation:

Ouyang Hua-jiang. Criteria for Finite Element Algorithm of Generalized Heat Conduction Equation[J]. Applied Mathematics and Mechanics, 1992, 13(6): 563-571.

Citation:

Ouyang Hua-jiang. Criteria for Finite Element Algorithm of Generalized Heat Conduction Equation[J]. Applied Mathematics and Mechanics, 1992, 13(6): 563-571.

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Criteria for Finite Element Algorithm of Generalized Heat Conduction Equation

Ouyang Hua-jiang

Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian

Received Date: 1990-09-28
Publish Date: 1992-06-15

Abstract

Abstract

To eliminate oscillation and overbounding of finite element solutions of classical heat conduction equation,the author and Xiao have put forward two new concepts of monotonies and have derived and proved several criteria.This idea is borrowed here to deal with generalized heat conduction equation and finite element criteria for eliminating oscillation and overbounding are also presented.Some new and useful conclusions are drawn.
- heat conduction equation,
- hyperbolic differential equation,
- finite element method,
- criteria,
- oscillation

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References(8)

References

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