Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Xi Yuan Yin"'
Publikováno v:
SIAM Journal on Scientific Computing. 42:A1663-A1685
We present a new numerical method for transporting arbitrary sets in a velocity field. The method computes a deformation mapping of the domain and advects particular sets by function composition with the map. This also allows for the transport of mul
Publikováno v:
Journal of Computational Physics
Journal of Computational Physics, 2020, ⟨10.1016/j.jcp.2020.109781⟩
Journal of Computational Physics, Elsevier, 2021, 424, pp.109781. ⟨10.1016/j.jcp.2020.109781⟩
Journal of Computational Physics, 2021, 424, pp.109781. ⟨10.1016/j.jcp.2020.109781⟩
Journal of Computational Physics, 2020, ⟨10.1016/j.jcp.2020.109781⟩
Journal of Computational Physics, Elsevier, 2021, 424, pp.109781. ⟨10.1016/j.jcp.2020.109781⟩
Journal of Computational Physics, 2021, 424, pp.109781. ⟨10.1016/j.jcp.2020.109781⟩
We propose an efficient semi-Lagrangian method for solving the two-dimensional incompressible Euler equations with high precision on a coarse grid. The new approach evolves the flow map using the gradient-augmented level set method (GALSM). Since the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58835153aecbac1e1b1e6268b0a14ad7
https://hal.science/hal-02616194
https://hal.science/hal-02616194
Autor:
János Dudás, Julien Courtois, István Balázs, Jan Bouwe van den Berg, Anett Vörös-Kiss, Jean-Philippe Lessard, J. F. Williams, Xi Yuan Yin
Publikováno v:
van den Berg, J B, Balázs, I, Courtois, J, Dudás, J, Vörös-Kiss, A, Yin, X Y, Williams, J F & Lessard, J-P 2018, ' Computer-assisted proofs for radially symmetric solutions of PDEs ', Journal of Computational Dynamics, vol. 5, no. 1&2, pp. 61-80 . https://doi.org/10.3934/jcd.2018003
Journal of Computational Dynamics, 5(1&2), 61-80. American Institute of Mathematical Sciences
Journal of Computational Dynamics, 5(1&2), 61-80. American Institute of Mathematical Sciences
We obtain radially symmetric solutions of some nonlinear (geometric) partial differential equations via a rigorous computer-assisted method. We introduce all main ideas through examples, accessible to non-experts. The proofs are obtained by solving f
Publikováno v:
SIAM Journal on Scientific Computing; 2021, Vol. 43 Issue 5, pA3155-A3183, 29p