Domain decomposition methods for solving the Burgers equation
Applications of Mathematics (1999)
- Volume: 44, Issue: 6, page 421-434
- ISSN: 0862-7940
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topCimrman, Robert. "Domain decomposition methods for solving the Burgers equation." Applications of Mathematics 44.6 (1999): 421-434. <http://eudml.org/doc/33040>.
@article{Cimrman1999,
abstract = {This article presents some results of numerical tests of solving the two-dimensional non-linear unsteady viscous Burgers equation. We have compared the known convergence and parallel performance properties of the additive Schwarz domain decomposition method with or without a coarse grid for the model Poisson problem with those obtained by experiments for the Burgers problem.},
author = {Cimrman, Robert},
journal = {Applications of Mathematics},
keywords = {domain decomposition; multilevel methods; fluid mechanics; Burgers equation; domain decomposition; multilevel methods; Burgers equation},
language = {eng},
number = {6},
pages = {421-434},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Domain decomposition methods for solving the Burgers equation},
url = {http://eudml.org/doc/33040},
volume = {44},
year = {1999},
}
TY - JOUR
AU - Cimrman, Robert
TI - Domain decomposition methods for solving the Burgers equation
JO - Applications of Mathematics
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 6
SP - 421
EP - 434
AB - This article presents some results of numerical tests of solving the two-dimensional non-linear unsteady viscous Burgers equation. We have compared the known convergence and parallel performance properties of the additive Schwarz domain decomposition method with or without a coarse grid for the model Poisson problem with those obtained by experiments for the Burgers problem.
LA - eng
KW - domain decomposition; multilevel methods; fluid mechanics; Burgers equation; domain decomposition; multilevel methods; Burgers equation
UR - http://eudml.org/doc/33040
ER -
References
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- Computational Fluid Dynamics, Hermosa Publishers, 1972. (1972) Zbl0251.76002MR0411358
- Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge Univ. Press, 1996. (1996) MR1410757
- 10.1137/0913035, SIAM J. Sci. Statist. Comput. 13 (1992), 631–644. (1992) MR1149111DOI10.1137/0913035
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