Free Access
Volume 39, Number 5, September-October 2005
Page(s) 909 - 929
Published online 15 September 2005
  1. M.S. Agranovich, Elliptic boundary problems, Partial differential equations IX. M.S. Agranovich, Yu.V. Egorov and M.A. Shubin, Eds., Springer. Encyclopaedia Math. Sci. 79 (1997) 1–144. [Google Scholar]
  2. Å. Björck, Numerical methods for least squares problems, SIAM (1996). [Google Scholar]
  3. H. Borouchaki, P.L. George and B. Mohammadi, Delaunay mesh generation governed by metric specifications. Parts i & ii. Finite Elem. Anal. Des., Special Issue on Mesh Adaptation (1996) 345–420. [Google Scholar]
  4. M. Castro-Diaz, F. Hecht and B. Mohammadi, Anisotropic grid adaptation for inviscid and viscous flows simulations. Int. J. Numer. Meth. Fl. 25 (1995) 475–491. [CrossRef] [Google Scholar]
  5. A. Douglis and L. Nirenberg, Interior estimates for elliptic systems of partial differential equations. Comm. Pure Appl. Math. 8 (1955) 503–538. [CrossRef] [MathSciNet] [Google Scholar]
  6. P.I. Dudnikov and S.N. Samborski, Linear overdetermined systems of partial differential equations. Initial and initial-boundary value problems, Partial Differential Equations VIII, M.A. Shubin, Ed., Springer-Verlag, Berlin/Heidelberg. Encyclopaedia Math. Sci. 65 (1996) 1–86. [Google Scholar]
  7. Femlab 3.0, [Google Scholar]
  8. FreeFem, [Google Scholar]
  9. P.L. George, Automatic mesh generation. Applications to finite element method, Wiley (1991). [Google Scholar]
  10. R. Glowinski, Finite element methods for incompressible viscous flow. Handb. Numer. Anal. Vol. IX, North-Holland, Amsterdam (2003) 3–1176. [Google Scholar]
  11. F. Hecht and B. Mohammadi, Mesh adaptation by metric control for multi-scale phenomena and turbulence. American Institute of Aeronautics and Astronautics 97-0859 (1997). [Google Scholar]
  12. B. Jiang, J. Wu and L. Povinelli, The origin of spurious solutions in computational electromagnetics. J. Comput. Phys. 7 (1996) 104–123. [CrossRef] [Google Scholar]
  13. K. Krupchyk, W. Seiler and J. Tuomela, Overdetermined elliptic PDEs. J. Found. Comp. Math., submitted. [Google Scholar]
  14. E.L. Mansfield, A simple criterion for involutivity. J. London Math. Soc. (2) 54 (1996) 323–345. [MathSciNet] [Google Scholar]
  15. B. Mohammadi and J. Tuomela, Involutivity and numerical solution of PDE systems, in Proc. of ECCOMAS 2004, Vol. 1, Jyväskylä, Finland. P. Neittaanmäki, T. Rossi, K. Majava and O. Pironneau, Eds., University of Jyväskylä (2004) 1–10. [Google Scholar]
  16. F. Nicoud, Conservative high-order finite-difference schemes for low-Mach number flows. J. Comput. Phys. 158 (2000) 71–97. [CrossRef] [MathSciNet] [Google Scholar]
  17. O. Pironneau, Finite element methods for fluids, Wiley (1989). [Google Scholar]
  18. J.F. Pommaret, Systems of partial differential equations and Lie pseudogroups. Math. Appl., Gordon and Breach Science Publishers 14 (1978). [Google Scholar]
  19. R.F. Probstein, Physicochemical hydrodynamics, Wiley (1995). [Google Scholar]
  20. A. Quarteroni and A. Valli, Numerical approximation of partial differential equations. Springer Ser. Comput. Math. 23 (1994). [Google Scholar]
  21. W.M. Seiler, Involution — the formal theory of differential equations and its applications in computer algebra and numerical analysis, Habilitation thesis, Dept. of Mathematics, Universität Mannheim (2001) (manuscript accepted for publication by Springer-Verlag). [Google Scholar]
  22. D. Spencer, Overdetermined systems of linear partial differential equations. Bull. Am. Math. Soc. 75 (1969) 179–239. [CrossRef] [MathSciNet] [Google Scholar]
  23. J. Tuomela and T. Arponen, On the numerical solution of involutive ordinary differential systems. IMA J. Numer. Anal. 20 (2000) 561–599. [CrossRef] [MathSciNet] [Google Scholar]
  24. J. Tuomela and T. Arponen, On the numerical solution of involutive ordinary differential systems: Higher order methods. BIT 41 (2001) 599–628. [CrossRef] [MathSciNet] [Google Scholar]
  25. J. Tuomela, T. Arponen and V. Normi, On the numerical solution of involutive ordinary differential systems: Enhanced linear algebra. IMA J. Numer. Anal., submitted. [Google Scholar]

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