The streamline-diffusion finite element method on graded meshes for a convection-diffusion problem

DOI10.1016/j.apnum.2018.12.012zbMath1456.65169OpenAlexW2908040656MaRDI QIDQ1732872

Peng Zhu, Yunhui Yin

Publication date: 25 March 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.12.012

zbMATH Keywords

singularly perturbed problemerror estimatestreamline-diffusion finite element methodgraded mesheshigher order

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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 (2)

A compact difference scheme on graded meshes for the nonlinear fractional integro-differential equation with non-smooth solutions ⋮ Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers

Cites Work

• Discontinuous Galerkin methods with interior penalties on graded meshes for 2D singularly perturbed convection-diffusion problems
• Anisotropic interpolation with applications to the finite element method
• An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
• Analysis of the SDFEM in a streamline diffusion norm for singularly perturbed convection diffusion problems
• Finite element approximation of convection diffusion problems using graded meshes
• Steady-state convection-diffusion problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Layer-Adapted Grids for Singular Perturbation Problems
• The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
• Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem
• The SDFEM on Shishkin meshes for linear convection-diffusion problems
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
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