An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix

@article{Barrett2001AnIE,
  title={An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix},
  author={John W. Barrett and James F. Blowey},
  journal={Numerische Mathematik},
  year={2001},
  volume={88},
  pages={255-297}
}
Using a slightly diierent discretization scheme in time and adapting the approach in Nochetto et al: (1998) for analysing the time discretization error in the backward Euler method, we improve on the error bounds derived in (i) Barrett and Blowey (1998) and (ii) Barrett and Blowey (1999c) for a fully practical piece-wise linear nite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix and (i) a logarithmic free energy… CONTINUE READING

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