Avoiding slave points in an adaptive refinement procedure for convection-diffusion problems in 2D

DOI10.1007/BF02684384zbMath0921.65072OpenAlexW1974783314MaRDI QIDQ1282162

M. Nikolova, Owe Axelsson

Publication date: 16 May 1999

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02684384

zbMATH Keywords

singular perturbationnumerical experimentsconvection-diffusion problemserror boundsdefect-correctionmesh-refinement method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

Semilocal and global convergence of the Newton-HSS method for systems of nonlinear equations ⋮ On the accelerated modified Newton-HSS method for systems of nonlinear equations ⋮ Finite element superconvergence approximation for one-dimensional singularly perturbed problems ⋮ An adaptive refinement method for convection-diffusion problems ⋮ Multi-step modified Newton-HSS methods for systems of nonlinear equations with positive definite Jacobian matrices ⋮ Semi-local convergence of the Newton-HSS method under the center Lipschitz condition ⋮ A robust algebraic multilevel preconditioner for non-symmetricM-matrices

Cites Work

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• Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method
• Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
• Defect correction methods for convection dominated convection-diffusion problems
• Asymptotic Analysis of a Singular Perturbation Problem
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• Stability theory of difference schemes and iterative methods
• Layer-Adapted Grids for Singular Perturbation Problems

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