Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion

@article{Ayati2002GalerkinMI,
  title={Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion},
  author={Bruce P. Ayati and Todd F. Dupont},
  journal={SIAM J. Numerical Analysis},
  year={2002},
  volume={40},
  pages={1064-1076}
}
We present Galerkin methods in both the age and space variables for an agedependent population undergoing nonlinear diffusion. The methods presented are a generalization of methods, where the approximation space in age is the space of piecewise constant functions. In this paper, we allow the use of discontinuous piecewise polynomial subspaces of L2 as the approximation space in age. As in the piecewise constant case, we move the discretization along characteristic lines. The time variable has… CONTINUE READING

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Referenced Papers

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Superconvergence in Galerkin Finite Element Methods, vol. 1605 of Lecture Notes in Mathematics

  • L. B. Wahlbin
  • 1995

The di usion model for migration and selection, in Some Mathematical Ques- tions in Biology: Models in Population

  • T. Nagylaki
  • ed., vol. 20 of Lectures on Mathematics in the…
  • 1989
1 Excerpt

A nonlinear problem in age-dependent population di usion

  • M. Langlais
  • SIAM J. Math. Anal.,
  • 1985
1 Excerpt

A priori L2 error estimates for Galerkin approximations to parabolic partial di erential equations

  • M. F. Wheeler
  • SIAM J. Numer. Anal.,
  • 1973
1 Excerpt

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