References

Adaptive Grid Generation by the Deformation Method
Dr. Guojun Liao

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Copyright © 1999 by Dr. Guojun Liao and Dr. Gary dela Pena

  1. J. Moser, "On the volume elements on a manifold," Trans. Am. Math. Soc. 120, 286 (1965).
  2. D.A. Anderson, "Equidistribution schemes, Poisson generators, and adaptive grids," Appl. Math. Comp. 24, 211 (1987).
  3. G. Liao and D. Anderson, "A new approach to grid generation," Appl. Anal. 44, 285 (1992).
  4. G. Liao, "Adaptive moving grid methods by real time deformation," presentation to the Special Session on Grid Generation, SIAM Summer Meetings, San Diego (1994).
  5. G. Liao, T. Pan, and J. Su, "Numerical grid generator based on Moser's deformation method," Numer. Meth. Part. Diff. Eq. 10, 21 (1994)
  6. B. Semper and G. Liao, "A Moving grid finite element method using grid deformation," Numer. Meth. Part. Diff. Eq. 11, 603 (1995).
  7. G. Liao and J. Su, "A moving grid method for (1+1) dimensions," Appl. Math. Letters 8, 47 (1995).
  8. P. Bochev, G. Liao, and G. dela Pena, "Analysis and computation of adaptive moving grids by deformation," Numer. Meth. Part. Diff. Eq. 12, 489 (1996)
  9. G. Liao, "A Moving Grid Method based on Moser's Deformation Method", Proceedings of the 15th IMACS World Congress on Scientific Computation, Modelling and Applied Mathematics, Vol. 2, Numerical Mathematics, Berlin, August 1997.
  10. F. Liu, S. Ji, and G. Liao, "An adaptive grid method and its application to steady Euler flow calculations," SIAM J. Sci. Comput. , 20 , (1998)
  11. G. Liao, G. dela Pena and F. Liu, "An Moving Finite Difference Method for Partial Differential Equations," preprint.