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Volume 10, Issue 1
A Simplified Viscosity Splitting Method for Solving the Initial Boundary Value Problems of Navier-Stokes Equation

Quan Zheng & Ming-You Huang

J. Comp. Math., 10 (1992), pp. 39-56.

Published online: 1992-10

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  • Abstract

Based on the approximation of the linear operator semigroup, this paper proposes a simplified viscosity splitting method for solving the initial boundary value problems of the N-S equation. Some stability and convergence estimates of the method are proved. In particular, the mechanism of Chorin's method is explained and justified by the splitting method.

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@Article{JCM-10-39, author = {Zheng , Quan and Huang , Ming-You}, title = {A Simplified Viscosity Splitting Method for Solving the Initial Boundary Value Problems of Navier-Stokes Equation}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {1}, pages = {39--56}, abstract = {

Based on the approximation of the linear operator semigroup, this paper proposes a simplified viscosity splitting method for solving the initial boundary value problems of the N-S equation. Some stability and convergence estimates of the method are proved. In particular, the mechanism of Chorin's method is explained and justified by the splitting method.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9340.html} }
TY - JOUR T1 - A Simplified Viscosity Splitting Method for Solving the Initial Boundary Value Problems of Navier-Stokes Equation AU - Zheng , Quan AU - Huang , Ming-You JO - Journal of Computational Mathematics VL - 1 SP - 39 EP - 56 PY - 1992 DA - 1992/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9340.html KW - AB -

Based on the approximation of the linear operator semigroup, this paper proposes a simplified viscosity splitting method for solving the initial boundary value problems of the N-S equation. Some stability and convergence estimates of the method are proved. In particular, the mechanism of Chorin's method is explained and justified by the splitting method.

Zheng , Quan and Huang , Ming-You. (1992). A Simplified Viscosity Splitting Method for Solving the Initial Boundary Value Problems of Navier-Stokes Equation. Journal of Computational Mathematics. 10 (1). 39-56. doi:
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