Spectral discretization of the time-dependent Stokes problem with mixed boundary conditions

被引：3

作者：

Bousbiat, Chaima ^{[1
]}

Daikh, Yasmina ^{[1
]}

Maarouf, Sarra ^{[1
]}

机构：

[1] Univ Jijel, Lab Anal Optimisat & Traitement Informat, Ouled Aissa 18000, Jijel, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期

关键词：

a priori estimates; BDF scheme; Euler's implicit scheme; mixed boundary conditions; spectral methods; time-dependent Stokes equations; POSTERIORI ERROR ANALYSIS; PRESSURE FORMULATION; VORTICITY; VELOCITY;

D O I：

10.1002/mma.7723

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the time-dependent Stokes problem in a three-dimensional domain with mixed boundary conditions. The discretization relies on spectral methods with respect to the space variables and Euler's implicit scheme with respect to the time variable, then by the second order BDF method. A detailed numerical analysis leads to a priori error estimates for each numerical scheme.

引用

页码：14517 / 14544

页数：28

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