Adaptive defect correction methods for convection dominated, convection diffusion problems

DOI10.1016/S0377-0427(99)00278-2zbMath0979.65096MaRDI QIDQ1975669

M. E. Cawood, William J. Layton, Joseph M. L. Maubach, Vincent J. Ervin

Publication date: 24 February 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmserror estimatesnumerical examplesfinite elementdefect correction methodconvection diffusion problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Iterative finite element variational multiscale method for the incompressible Navier-Stokes equations ⋮ Subgrid stabilized defect-correction method for a steady-state natural convection problem ⋮ An extremum-preserving finite volume scheme for convection-diffusion equation on general meshes ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems ⋮ New characteristic difference method with adaptive mesh for one-dimensional unsteady convection-dominated diffusion equations ⋮ A posteriori error estimation for a defect correction method applied to conduction convection problems ⋮ Genuinely nonlinear models for convection-dominated problems ⋮ A parameter-free dynamic diffusion method for advection-diffusion-reaction problems

Cites Work

• Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
• Solution algorithms for incompressible viscous flows at high Reynolds numbers
• Adaptive finite element methods for diffusion and convection problems
• Defect correction methods for convection dominated convection-diffusion problems
• An Analysis of a Defect-Correction Method for a Model Convection-Diffusion Equation
• Error Estimates for Adaptive Finite Element Computations
• Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
• Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
• A Nonlinear, Subgridscale Model for Incompressible viscous Flow Problems
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