Volume 23, Issue 3
On the Error Estimates for the Rotational Pressure-Correction Projection Spectral Methods for the Unsteady Stokes Equations

Feng-Hui Huang & Chuan-Ju Xu

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J. Comp. Math., 23 (2005), pp. 285-304

Published online: 2005-06

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  • Abstract

This paper provides an analysis of the rotational form of the pressure-correction methods by spectral approximations for the unsteady Stokes equations. Error estimates in finite time for the fully discrete case are given. Numerical experiences using both spectral and spectral element methods are carried out to confirm the theoretical results.

  • Keywords

Stokes equations Projection methods Spectral methods

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@Article{JCM-23-285, author = {}, title = {On the Error Estimates for the Rotational Pressure-Correction Projection Spectral Methods for the Unsteady Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {3}, pages = {285--304}, abstract = { This paper provides an analysis of the rotational form of the pressure-correction methods by spectral approximations for the unsteady Stokes equations. Error estimates in finite time for the fully discrete case are given. Numerical experiences using both spectral and spectral element methods are carried out to confirm the theoretical results. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8816.html} }
TY - JOUR T1 - On the Error Estimates for the Rotational Pressure-Correction Projection Spectral Methods for the Unsteady Stokes Equations JO - Journal of Computational Mathematics VL - 3 SP - 285 EP - 304 PY - 2005 DA - 2005/06 SN - 23 DO - http://dor.org/ UR - https://global-sci.org/intro/jcm/8816.html KW - Stokes equations KW - Projection methods KW - Spectral methods AB - This paper provides an analysis of the rotational form of the pressure-correction methods by spectral approximations for the unsteady Stokes equations. Error estimates in finite time for the fully discrete case are given. Numerical experiences using both spectral and spectral element methods are carried out to confirm the theoretical results.
Feng-Hui Huang & Chuan-Ju Xu. (1970). On the Error Estimates for the Rotational Pressure-Correction Projection Spectral Methods for the Unsteady Stokes Equations. Journal of Computational Mathematics. 23 (3). 285-304. doi:
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