A study of Galerkin method for the heat convection equations

Polina Vinogradova; Anatoli Zarubin

Applications of Mathematics (2012)

  • Volume: 57, Issue: 1, page 71-91
  • ISSN: 0862-7940

Abstract

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The paper investigates the Galerkin method for an initial boundary value problem for heat convection equations. New error estimates for the approximate solutions and their derivatives in strong norm are obtained.

How to cite

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Vinogradova, Polina, and Zarubin, Anatoli. "A study of Galerkin method for the heat convection equations." Applications of Mathematics 57.1 (2012): 71-91. <http://eudml.org/doc/247160>.

@article{Vinogradova2012,
abstract = {The paper investigates the Galerkin method for an initial boundary value problem for heat convection equations. New error estimates for the approximate solutions and their derivatives in strong norm are obtained.},
author = {Vinogradova, Polina, Zarubin, Anatoli},
journal = {Applications of Mathematics},
keywords = {approximate solution; error estimate; Galerkin method; heat convection equation; orthogonal projection; viscous fluid; approximate solution; error estimate; Galerkin method; orthogonal projection; heat convection equation; viscous fluid},
language = {eng},
number = {1},
pages = {71-91},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A study of Galerkin method for the heat convection equations},
url = {http://eudml.org/doc/247160},
volume = {57},
year = {2012},
}

TY - JOUR
AU - Vinogradova, Polina
AU - Zarubin, Anatoli
TI - A study of Galerkin method for the heat convection equations
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 71
EP - 91
AB - The paper investigates the Galerkin method for an initial boundary value problem for heat convection equations. New error estimates for the approximate solutions and their derivatives in strong norm are obtained.
LA - eng
KW - approximate solution; error estimate; Galerkin method; heat convection equation; orthogonal projection; viscous fluid; approximate solution; error estimate; Galerkin method; orthogonal projection; heat convection equation; viscous fluid
UR - http://eudml.org/doc/247160
ER -

References

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  9. Krejn, S. G., Linear Differential Equations in Banach Spaces. Trans. Math. Monographs, Vol. 29, AMS Providence (1972). (1972) 
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  11. Ladyzhenskaya, O. A., Solonnikov, V. A., Ural'tseva, N. N., Linear and Quasilinear Equations of Parabolic Type, Nauka Moscow (1967), English transl.: Trans. Math. Monographs, Vol. 23 AMS Rhode Island (1968). (1967) Zbl0164.12302
  12. Shinbrot, M., Kotorynski, W. P., 10.1016/0022-247X(74)90115-2, J. Math. Anal. Appl. 45 (1974), 1-22. (1974) MR0361474DOI10.1016/0022-247X(74)90115-2
  13. Solonnikov, V. A., On estimates of the solutions of elliptic and parabolic systems in L p , Tr. MIAN SSSR 102 (1967), 137-160 Russian. (1967) MR0228809
  14. Temam, R., Navier-Stokes Equations. Theory and Numerical Analysis. Rev. ed, North-Holland Publishing Company Amsterdam (1979). (1979) Zbl0426.35003
  15. Vinogradova, P., Zarubin, A., 10.1080/01630560902735132, Numer. Funct. Anal. Optim. 30 (2009), 148-167. (2009) MR2492080DOI10.1080/01630560902735132
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