A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems
DOI10.1016/j.cam.2016.08.020zbMath1353.65087OpenAlexW2519419103MaRDI QIDQ344258
Publication date: 22 November 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.08.020
numerical resultsmesh generationupwind finite difference schemestrong couplinga posteriori error estimationnon-uniform meshmaximum normadaptive grid algorithmsingularly perturbed convection-diffusion problems
Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items (12)
Cites Work
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- A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling
- Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations
- Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems
- Uniform pointwise convergence for a singularly perturbed problem using arc-length equidistribution.
- A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations
- Nonlinear singular perturbation phenomena: theory and applications
- Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid
- Parameter-uniform finite difference scheme for a system of coupled singularly perturbed con\-vec\-tion-diffusion equations
- A priori meshes for singularly perturbed quasilinear two-point boundary value problems
- Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem
- Applications of Singular Perturbation Techniques to Control Problems
- Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling
- Uniform convergence analysis of an upwind finite-difference approximation of a convection-diffusion boundary value problem on an adaptive grid
- Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
- A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
- Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
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