Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh in 2D
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Publication:6189291
DOI10.1016/j.camwa.2023.10.005arXiv2303.03827OpenAlexW4387794214MaRDI QIDQ6189291
Publication date: 8 February 2024
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.03827
Cites Work
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- Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer
- Layer-adapted meshes for reaction-convection-diffusion problems
- Supercloseness on graded meshes for \({\mathcal Q}_1\) finite element approximation of a reaction-diffusion equation
- On the local discontinuous Galerkin method for singularly perturbed problem with two parameters
- Continuous-discontinuous finite element method for convection-diffusion problems with characteristic layers
- Higher order uniformly convergent NIPG methods for 1-d singularly perturbed problems of convection-diffusion type
- Supercloseness of the SDFEM on Shishkin triangular meshes for problems with exponential layers
- Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers
- Supercloseness in a balanced norm of the NIPG method on Shishkin mesh for a reaction diffusion problem
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
- The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
- Uniform Convergence and Superconvergence of Mixed Finite Element Methods on Anisotropically Refined Grids
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Supercloseness of edge stabilization on Shishkin rectangular meshes for convection–diffusion problems with exponential layers
- Convection-Diffusion Problems
- A uniformly convergent hybrid difference scheme for a system of singularly perturbed initial value problems
- A supercloseness result for the discontinuous Galerkin stabilization of convection–diffusion problems on Shishkin meshes
- 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
- Supercloseness analysis of the nonsymmetric interior penalty Galerkin method for a singularly perturbed problem on Bakhvalov-type mesh
