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2007 | 17 | 3 | 329-334
Tytuł artykułu

A Hermite-type adaptive semi-Lagrangian scheme

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We study a new Hermite-type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the D phase space. Numerical results on uniform and adaptive grids are shown and compared with the biquadratic Lagrange interpolation introduced in (Campos Pinto and Mehrenberger, 2004) in the case of a rotating Gaussian.
Rocznik
Tom
17
Numer
3
Strony
329-334
Opis fizyczny
Daty
wydano
2007
Twórcy
  • IRMA (CNRS UMR-7005), Université Louis Pasteur, 7, rue Rene Descartes, 61084 Strasbourg, France
autor
  • Laboratoire ICPS-LSIIT (CNRS UMR-7005), Université Louis Pasteur, Pôle API, Boulevard Sébastien Brant, 67400 Illkirch, France
Bibliografia
  • Besse N. and Sonnendrucker E. (2003): Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space. Journal of Computational Physics, Vol.191, No.2, pp.341-376.
  • Campos Pinto M. and Mehrenberger M. (2005): Adaptive numerical resolution of the Vlasov equation, In: Numerical Methods for Hyperbolic and Kinetic Problems (S. Cordier, T. Goudon, M. Gutnic, E. Sonnendrucker, Eds.). Zurich: European Mathematical Society, pp.43-58.
  • Campos Pinto M. and Mehrenberger M. (2005): Convergence of an adaptive scheme for the one-dimensional Vlasov-Poissonsystem. Technical Report No. RR-5519, INRIA Lorraine.
  • Gutnic M., Haefele M., Paun I., Sonnendrucker E. (2004): Vlasov simulations on an adaptive phase-space grid. Computer Physics Communications, Vol.164, No.1-3, pp.214-219.
  • Gutnic M., Haefele M. and Latu G. (2005): A parallel Vlasov solver using a wavelet based adaptive mesh refinement. Proc. Int. Conf. Parallel Processing, ICPP'2005, 7th Workshop High Performance Scientific and Engineering Computing, Oo: IEEE Computer Society Press, pp.181-188.
  • Hoenen O., Mehrenberger M. and Violard E. (2004): Parallelization of an adaptive Vlasov solver,Proc. 11th European PVM/MPI Users' Group Conference, EuroPVM/MPI 2004, Berlin: Springer, pp.430-435.
  • Hoenen O. and Violard E. (2006): An efficient data structure for an adaptive Vlasov solver. Research Report RR 06-02, ICPS - LSIIT laboratory (CNRS UMR-7005).
  • Hong D., Schumaker L.L. (2004); Surface compression using a space of C1 cubic splines with a hierarchical basis. Geometric Modelling Computing, Vol.72, No.1-2, pp.79-92.
  • %Nakamura T. and Yabe T. (1999): Cubic interpolated propagation scheme for solving the hyperdimensional Vlasov-Poisson equation in phase space. Computer Physics Communications, Vol.120, No.2-3, pp.122-154.
  • Sonnendrucker E., Filbet F., Friedman A., Oudet E., Vay J. L. (2004): Vlasov simulation of beams on a moving phase-space grid.Computer Physics Communications, Vol.164, No.1-3, pp.390-395
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-amcv17i3p329bwm
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