Domain decomposition methods for solving the Burgers equation

Robert Cimrman

Applications of Mathematics (1999)

  • Volume: 44, Issue: 6, page 421-434
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Cimrman, 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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  1. Parallel Multi-Level and Domain Decomposition Methods, Calculateurs Parallèles L.T.C.P. 6(4) (1994). (1994) 
  2. A practical and portable model of programming for iterative solvers on distributed memory machines, Parallel Computing 22 (1996), 478–512. (1996) 
  3. Domain Decomposition Methods in Computational Mechanics, Comput. Mech. Adv. (1994). (1994) Zbl0802.73079MR1263805
  4. Computational Fluid Dynamics, Hermosa Publishers, 1972. (1972) Zbl0251.76002MR0411358
  5. Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge Univ. Press, 1996. (1996) MR1410757
  6. 10.1137/0913035, SIAM J. Sci. Statist. Comput. 13 (1992), 631–644. (1992) MR1149111DOI10.1137/0913035

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