Convergence of a finite element method on a Bakhvalov‐type mesh for a singularly perturbed convection–diffusion equation in <scp>2D</scp>
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Publication:6064516
DOI10.1002/num.22930arXiv2011.05611OpenAlexW3100486728MaRDI QIDQ6064516
Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.05611
singular perturbationfinite element methoduniform convergenceconvection-diffusion equationBakhvalov-type mesh
Cites Work
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- Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D.
- Some open questions in the numerical analysis of singularly perturbed differential equations
- Error estimates for linear finite elements on Bakhvalov-type meshes.
- Layer-adapted meshes for reaction-convection-diffusion problems
- A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
- Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: vertex-cell interpolation
- Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with exponential layers
- Supercloseness of continuous interior penalty methods on Shishkin triangular meshes and hybrid meshes for singularly perturbed problems with characteristic layers
- Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection-diffusion equation in 1D
- Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes
- Supercloseness of finite element method on a Bakhvalov-type mesh for a singularly perturbed problem with two parameters
- High-order finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion problem with two parameters
- Superconvergence of finite element method for singularly perturbed convection-diffusion equations in 1D
- Supercloseness of continuous interior penalty method for convection-diffusion problems with characteristic layers
- Fitted Numerical Methods For Singular Perturbation Problems
- Uniform Superconvergence of a Finite Element Method with Edge Stabilization for Convection-Diffusion Problems
- Numerical solution of saddle point problems
- Steady-state convection-diffusion problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Optimal Order $L^2$ Error Estimate of SDFEM on Shishkin Triangular Meshes for Singularly Perturbed Convection-Diffusion Equations
- Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
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