Stokes问题的一阶丰富Galerkin方法的后验误差分析

IF 3.8 2区数学 Q1 MATHEMATICS

Journal of Numerical Mathematics Pub Date : 2021-11-06 DOI:10.1515/jnma-2020-0100

V. Girault, María González, F. Hecht

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引用次数: 0

摘要

摘要针对具有非齐次Dirichlet边界条件的稳定Stokes问题，给出了后验误差估计的最优可靠性和效率，该问题由一个1阶的稳定富Galerkin格式(EG)在一个三角形或四边形网格上以及在一个四面体或六面体网格上求解。

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A posteriori error analysis of an enriched Galerkin method of order one for the Stokes problem

Abstract We derive optimal reliability and efficiency of a posteriori error estimates for the steady Stokes problem, with a nonhomogeneous Dirichlet boundary condition, solved by a stable enriched Galerkin scheme (EG) of order one on triangular or quadrilateral meshes in ℝ2, and tetrahedral or hexahedral meshes in ℝ3.

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来源期刊

Journal of Numerical Mathematics 数学-数学

CiteScore

5.90

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Numerical Mathematics (formerly East-West Journal of Numerical Mathematics) contains high-quality papers featuring contemporary research in all areas of Numerical Mathematics. This includes the development, analysis, and implementation of new and innovative methods in Numerical Linear Algebra, Numerical Analysis, Optimal Control/Optimization, and Scientific Computing. The journal will also publish applications-oriented papers with significant mathematical content in computational fluid dynamics and other areas of computational engineering, finance, and life sciences.