Two new least-squares mixed finite element procedures for convection-dominated Sobolev equations

DOI10.1007/S11766-011-2851-YzbMath1265.65206OpenAlexW2037642841MaRDI QIDQ453357

Danping Yang, Jiang Zhu, Jian-Song Zhang

Publication date: 5 October 2012

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-011-2851-y

zbMATH Keywords

convergenceerror estimatesmixed finite elementsleast squaresconvection-dominated Sobolev equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

A Godunov-mixed finite element method on changing meshes for the nonlinear Sobolev equations ⋮ Crank–Nicolson Finite Element Scheme and Modified Reduced-Order Scheme for Fractional Sobolev Equation ⋮ The time discontinuous \(H^1\)-Galerkin mixed finite element method for linear Sobolev equations

Cites Work

• Least-squares mixed element method for Sobolev equations
• The finite difference streamline diffusion methods for Sobolev equations with convection-dominated term
• Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• Streamline-diffusion F. E. M. for Sobolev equations with convection-dominated term
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