Galerkin finite element methods for convection-diffusion problems with exponential layers on Shishkin triangular meshes and hybrid meshes

DOI10.1016/j.amc.2017.03.003zbMath1411.65153OpenAlexW2600563147WikidataQ115598232 ScholiaQ115598232MaRDI QIDQ1736138

Jin Zhang, Xiao-Wei Liu

Publication date: 29 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.03.003

zbMATH Keywords

convection-diffusion problemGalerkin finite element methodShishkin meshsuperclosenessexponential layer

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

Supercloseness and postprocessing for linear finite element method on Bakhvalov-type meshes ⋮ Uniform supercloseness of Galerkin finite element method for convection-diffusion problems with characteristic layers ⋮ Supercloseness of continuous interior penalty methods on Shishkin triangular meshes and hybrid meshes for singularly perturbed problems with characteristic layers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of SDFEM on Shishkin triangular meshes and hybrid meshes for problems with characteristic layers
• Some open questions in the numerical analysis of singularly perturbed differential equations
• Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
• Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer
• Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers
• Anisotropic interpolation with applications to the finite element method
• A novel exponentially fitted triangular finite element method for an advection-diffusion problem with boundary layers
• A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers
• Numerical solution of saddle point problems
• Steady-state convection-diffusion problems
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
• Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
• A supercloseness result for the discontinuous Galerkin stabilization of convection–diffusion problems on Shishkin meshes
• Superconvergence analysis of the Galerkin FEM for a singularly perturbed convection–diffusion problem with characteristic layers
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
• Superconvergence on a hybrid mesh for singularly perturbed problems with exponential layers
• Optimal Order $L^2$ Error Estimate of SDFEM on Shishkin Triangular Meshes for Singularly Perturbed Convection-Diffusion Equations
• The SDFEM on Shishkin meshes for linear convection-diffusion problems
• Numerical methods on Shishkin meshes for linear convection-diffusion problems
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem

This page was built for publication: Galerkin finite element methods for convection-diffusion problems with exponential layers on Shishkin triangular meshes and hybrid meshes