具有非标准边界条件的时变斯托克斯问题的谱元离散化

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-01-10 DOI:10.1186/s13661-023-01815-1

Mohamed Abdelwahed, Nejmeddine Chorfi

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引用次数: 0

摘要

本研究涉及二维和三维领域中随时间变化的斯托克斯问题的谱元离散化。边界条件定义在速度的法向分量和涡度的切向分量上。与时间变量相关的离散化是通过后向欧拉法处理的。通过详细的数值分析，我们证明了完整离散问题的好求解性。

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

This work deals with the spectral element discretization of the time-dependent Stokes problem in two- and three-dimensional domains. The boundary condition is defined on the normal component of the velocity and the tangential components of the vorticity. The discretization related to the time variable is processed by a Backward Euler method. We prove through a detailed numerical analysis the well-posedness of the full discrete problem.

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.