@article{AIHPC_1988__5_3_227_0, author = {Cottet, Georges-Henri}, title = {A new approach for the analysis of {Vortex} {Methods} in two and three dimensions}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {227--285}, publisher = {Gauthier-Villars}, volume = {5}, number = {3}, year = {1988}, mrnumber = {954473}, zbl = {0688.76017}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1988__5_3_227_0/} }
TY - JOUR AU - Cottet, Georges-Henri TI - A new approach for the analysis of Vortex Methods in two and three dimensions JO - Annales de l'I.H.P. Analyse non linéaire PY - 1988 SP - 227 EP - 285 VL - 5 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1988__5_3_227_0/ LA - en ID - AIHPC_1988__5_3_227_0 ER -
%0 Journal Article %A Cottet, Georges-Henri %T A new approach for the analysis of Vortex Methods in two and three dimensions %J Annales de l'I.H.P. Analyse non linéaire %D 1988 %P 227-285 %V 5 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1988__5_3_227_0/ %G en %F AIHPC_1988__5_3_227_0
Cottet, Georges-Henri. A new approach for the analysis of Vortex Methods in two and three dimensions. Annales de l'I.H.P. Analyse non linéaire, Volume 5 (1988) no. 3, pp. 227-285. http://archive.numdam.org/item/AIHPC_1988__5_3_227_0/
[1] A Vortex Method for Flows with Slight Density Variations, J. Comp. Phys., Vol. 61, 1985, pp. 417-432. | MR | Zbl
,[2] A Convergent 3-D Vortex Method with Grid-Free Stretching, Math. Comp., Vol. 46, 1986, pp. 401-424. | MR | Zbl
,[3] Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations, Math. Comp., Vol. 31, 1981, pp. 243-259. | MR | Zbl
and ,[4] Vortex Methods I: Convergence in Three Dimensions, Math. Comp., Vol. 39, 1982, pp. 1-27. | MR | Zbl
and ,[5] Partial Differential Equations, American Mathematical Society, Providence, 1964. | MR | Zbl
, and ,[6] Convergence of a Vortex in Cell Method for the Two Dimensional Euler Equations, Math. Comp., vol. 40, 1987, pp. 407-425. | MR | Zbl
,[7] A Particle Method to Solve Transport-Diffusion Equations II: the Navier-Stokes Equations, preprint.
and ,[8] Convergence of the Random Vortex Method, preprint. | MR
,[9] Convergence of the Vortex Filament Method, Math. Comp., Vol. 47, 1986, pp. 387-398. | MR | Zbl
,[10] Behaviour of the Solutions of an Elliptic Boundary Value Problem in a Polygonal or Polyhedral Domain, in Numerical Solutions of Partial Differential Equations III, Synspade, Academic Press, New York, 1976. | MR | Zbl
,[11] The Convergence of Vortex Methods II, S.I.A.M. J. Num. Anal., Vol. 16, 1979, pp. 726-755. | MR | Zbl
,[12] Nonstationary Flows of Viscous and Ideal Fluids in R3, J. Func. Anal., Vol. 9, 1962, pp. 296-305. | MR | Zbl
,[13] Problemi ai limiti non omogenei, Ann. Sc. Norm. Sup. di Pisa, (III), Vol. 15, 1961, pp. 39-101 and (V), Vol. 16, 1962, pp. 1-14. | Numdam | MR | Zbl
and ,[14] Particle Approximation of Convection-Diffusion Problems, Math. Comp. (submitted).
and ,[15] Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations, Math. Comp., Vol. 38, 1982, pp. 437-446. | MR | Zbl
and ,[16] An Analysis of Particle Methods, in Numerical Methods in Fluid Dynamics, F. BREZZI Ed., Lecture Notes in Mathematics, vol. 1127, Springer Verlag, Berlin, 1985. | MR | Zbl
,[17] On the Vortex Filament Method, preprint. | MR
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