A least-squares finite-element method for the Stokes equations with improved mass balances

DOI10.1016/S0898-1221(99)00197-2zbMath0955.76052OpenAlexW2082671959MaRDI QIDQ1963095

Xiu Ye

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00197-2

zbMATH Keywords

convergenceStokes equationsleast-squares mixed finite-element methodsymmetric positive definite bilinear formzero residual of mass conservation

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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• An analysis of a mixed finite element method for the Navier-Stokes equations
• Accuracy of least-squares methods for the Navier--Stokes equations
• The construction of a null basis for a discrete divergence operator
• A least-square mixed method for Stokes equations
• An Error Estimate of the Least Squares Finite Element Method for the Stokes Problem in Three Dimensions
• Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
• Analysis of Least Squares Finite Element Methods for the Stokes Equations
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
• Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems

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