Computational mathematics and computational fluid dynamics

Vít Dolejší; Miloslav Feistauer; Jiří Felcman

Pokroky matematiky, fyziky a astronomie (2002)

  • Volume: 47, Issue: 3, page 206-220d
  • ISSN: 0032-2423

How to cite

top

Dolejší, Vít, Feistauer, Miloslav, and Felcman, Jiří. "Výpočtová matematika a počítačová dynamika tekutin." Pokroky matematiky, fyziky a astronomie 47.3 (2002): 206-220d. <http://eudml.org/doc/196424>.

@article{Dolejší2002,
author = {Dolejší, Vít, Feistauer, Miloslav, Felcman, Jiří},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {mathematical modelling; numerical simulation; compressible fluids},
language = {cze},
number = {3},
pages = {206-220d},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {Výpočtová matematika a počítačová dynamika tekutin},
url = {http://eudml.org/doc/196424},
volume = {47},
year = {2002},
}

TY - JOUR
AU - Dolejší, Vít
AU - Feistauer, Miloslav
AU - Felcman, Jiří
TI - Výpočtová matematika a počítačová dynamika tekutin
JO - Pokroky matematiky, fyziky a astronomie
PY - 2002
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 47
IS - 3
SP - 206
EP - 220d
LA - cze
KW - mathematical modelling; numerical simulation; compressible fluids
UR - http://eudml.org/doc/196424
ER -

References

top
  1. Angot, P., Dolejší, V., Feistauer, M., Felcman, J., Analysis of a combined barycentric finite volume — nonconforming finite element method for nonlinear convectiond̄iffusion problem, Appl. Math. 43 (4) (1998), 263–310. (1998) Zbl0942.76035MR1627989
  2. Brdička, M., Mechanika kontinua, Nakladatelství ČSAV, Praha 1959. (1959) 
  3. Dolejší, V., Anisotropic mesh adaptation technique for viscous flow simulation, EastW̄est J. Numer. Math. 9 (1) (2001), 1—24. (2001) Zbl1056.76045MR1839196
  4. Feistauer, M., Mathematical Methods in Fluid Dynamics, Longman Scientific & Technical, Harlow 1993. (1993) Zbl0819.76001MR1266627
  5. Feistauer, M., Numerical Methods for Compressible Flow, In: Mathematical Fluid Mechanics. Recent Results and Open Questions (Neustupa, J., Penel, P. — editors), Birkhäuser, Basel-Boston-Berlin 2001, 105–142. (2001) Zbl1036.76035MR1865051
  6. Feistauer, M., Felcman, J., Lukáčová, M., Warnecke, G., Error estimates of a combined finite volume – finite element method for nonlinear convection-diffusion problems, SIAM J. Numer. Anal. 36 (1999), 1528–1548. (1999) Zbl0960.65098MR1706727
  7. Feireisel, E., On compactness of solutions to the compressible isentropic Navier-Stokes equations, when the density is not square integrable, Comment. Math. Univ. Carolin. 42 (2001), 83–98. (2001) MR1825374
  8. Galdi, G. P., An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Volume I, Linearized Steady Problems. Springer Tracts in Natural Philosophy, Volume 38, Springer-Verlag 1994. (1994) Zbl0949.35005MR1284205
  9. Girault, V., Raviart, P. A., Finite Element Methods for Navier-Stokes Equations, Theory and Algorithms, Springer–Verlag, Berlin 1986. (1986) Zbl0585.65077MR0851383
  10. Ladyzhenskaya, O. A., The Mathematical Theory of Viscous Incompressible Flow, Gordon and Breach 1969. (1969) Zbl0184.52603MR0254401
  11. Landau, L. D., Lifschitz, E. M., Hydrodynamik, Akademie Verlag, Berlin 1981. (1981) Zbl0466.76002
  12. Lions, P. L., Mathematical Topics in Fluid Mechanics, Volume 2, Compressible Models. Clarendon Press, Oxford 1998. (1998) Zbl0908.76004MR1637634
  13. Matsumura, A., Nishida, T., Initial boundary value problems for the equations of motion of general fluids, In: Comput. Methods Appl. Sci. Engrg. (Glowinski, R., Lions, J. L. — editors), North-Holland, Amsterdam 1982, 445–464. (1982) Zbl0505.76083MR0784652
  14. Novotný, A., Steady flows of viscous compressible fluids in exterior domains under small perturbations of great potential forces, MAS 3 (1993), 725–757. (1993) Zbl0803.76072MR1245633
  15. Ralston, A., Základy numerické matematiky, Academia, Praha 1973. (1973) Zbl0434.65002
  16. Šťastný, M., Šafařík, P., Experimental analysis data on the transonic flow past a turbine cascade, ASME Publ. No. 90-GT-313, New York 1990. (1990) 
  17. Tani, A., On the first initial-boundary value problem of compressible viscous fluid motion, Publ. RIMS Kyoto Univ. 13 (1997), 193–253. (1997) 
  18. Temam, R., Navier-Stokes Equations, North-Holland, Amsterdam 1977. (1977) Zbl0383.35057MR0609732

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.