Volume 17, Issue 4
An Iteration Method for Incompressible Viscous/Inviscid Coupled Problem Via a Spectral Approximation

Chuan Ju Xu

DOI:

J. Comp. Math., 17 (1999), pp. 379-396

Published online: 1999-08

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  • Abstract

An efficient iteration-by-subdomain method(known as the Schwarz alternating algorithm) for incompressible viscous/inviscid coupled model is presented. Appropriate spectral collocation approximations are proposed. The convergence analysis show that the iterative algorithms converge with a rate independent of the polynomial degree used.

  • Keywords

Coupled equations Navier-Stokes equations Euler equations

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-379, author = {}, title = {An Iteration Method for Incompressible Viscous/Inviscid Coupled Problem Via a Spectral Approximation}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {4}, pages = {379--396}, abstract = { An efficient iteration-by-subdomain method(known as the Schwarz alternating algorithm) for incompressible viscous/inviscid coupled model is presented. Appropriate spectral collocation approximations are proposed. The convergence analysis show that the iterative algorithms converge with a rate independent of the polynomial degree used. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9110.html} }
TY - JOUR T1 - An Iteration Method for Incompressible Viscous/Inviscid Coupled Problem Via a Spectral Approximation JO - Journal of Computational Mathematics VL - 4 SP - 379 EP - 396 PY - 1999 DA - 1999/08 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9110.html KW - Coupled equations KW - Navier-Stokes equations KW - Euler equations AB - An efficient iteration-by-subdomain method(known as the Schwarz alternating algorithm) for incompressible viscous/inviscid coupled model is presented. Appropriate spectral collocation approximations are proposed. The convergence analysis show that the iterative algorithms converge with a rate independent of the polynomial degree used.
Chuan Ju Xu. (1970). An Iteration Method for Incompressible Viscous/Inviscid Coupled Problem Via a Spectral Approximation. Journal of Computational Mathematics. 17 (4). 379-396. doi:
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