Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative

@article{Yano2018StructurepreservingFD,
  title={Structure-preserving finite difference schemes for a semilinear thermoelastic system with second order time derivative},
  author={Keisuke Yano and Shuji Yoshikawa},
  journal={Japan Journal of Industrial and Applied Mathematics},
  year={2018},
  volume={35},
  pages={1213-1244}
}
In this article we study a semilinear thermoelastic system which consists of heat equation and beam equation with second-order time derivative. Although in Yoshikawa (ZAMM 95(12):1393–1410, 2015; IMA J Numer Anal 37:477–504, 2017) the second author proposed the structure-preserving finite difference scheme for the system transformed to first order system with respect to time variable, here we propose structure-preserving finite difference schemes for the original system with second-order time… CONTINUE READING

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