Least-squares mixed finite element method for a class of Stokes equation

DOI10.1007/BF02459037zbMath0976.76040OpenAlexW1985683035MaRDI QIDQ1580403

Danping Yang, Shulin Sui, Xinmin Liu, Haiming Gu

Publication date: 2 January 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459037

zbMATH Keywords

regularityoptimal error estimatesleast-squares mixed finite element methodStokes equationsRaviart-Thomas spacestwo-dimensional domainsstationary equationsfinite element partition

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (2)

An adaptive least-squares mixed finite element method for nonlinear parabolic problems ⋮ Least-squares mixed finite element methods for the incompressible Navier-Stokes equations

Cites Work

• Least Squares Methods for Elliptic Systems
• Error estimates for some mixed finite element methods for parabolic type problems
• Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• Error estimates for least-squares mixed finite elements
• A Generalized Ritz-Least-Squares Method for Dirichlet Problems
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