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

Chuan-Ju Xu

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 shows that the iterative algorithms converge with a rate independent of the polynomial degree used.

  • Keywords

Coupled equations, Navier-Stokes equations, Euler equations, Cllocation approximation, Schwarz alternating algorithm.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-379, author = {Xu , Chuan-Ju}, 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 shows 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 AU - Xu , Chuan-Ju 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, Navier-Stokes equations, Euler equations, Cllocation approximation, Schwarz alternating algorithm. 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 shows that the iterative algorithms converge with a rate independent of the polynomial degree used.

Xu , Chuan-Ju. (1999). 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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