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Criteria for finite element algorithm of generalized heat conduction equation

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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.

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References

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Authors and Affiliations

  1. Research Institute of Engineering Mechanics, Dalian Univ. of Tech., Dalian

    Ouyang Hua-jiang

Authors
  1. Ouyang Hua-jiang
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Communicated by Chien Wei-zang

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Hua-jiang, O. Criteria for finite element algorithm of generalized heat conduction equation. Appl Math Mech 13, 587–596 (1992). https://doi.org/10.1007/BF02451522

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  • DOI: https://doi.org/10.1007/BF02451522

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