A coupled Newton iterative mixed finite element method for stationary conduction-convection problems

DOI10.1007/s00607-010-0093-0zbMath1206.65249OpenAlexW2083486403MaRDI QIDQ5962000

Zhiyong Si, Yin-Nian He

Publication date: 16 September 2010

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-010-0093-0

zbMATH Keywords

error estimatesstability analysisBoussinesq approximationmixed finite element methodcoupled Newton iterativestationary conduction-convection problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

An Oseen iterative finite-element method for stationary conduction–convection equations ⋮ A defect-correction mixed finite element method for stationary conduction-convection problems ⋮ Adaptive mixed least squares Galerkin/Petrov finite element method for stationary conduction convection problems ⋮ A finite element variational multiscale method based on two local Gauss integrations for stationary conduction-convection problems ⋮ Newton iterative method based on finite element discretization for the stationary Darcy-Brinkman equations ⋮ Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems ⋮ Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems ⋮ An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method ⋮ A quadratic equal-order stabilized finite element method for the conduction-convection equations ⋮ Unconditional optimal error estimate of the projection/Lagrange-Galerkin finite element method for the Boussinesq equations ⋮ A stabilized Oseen iterative finite element method for stationary conduction-convection equations

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