Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh
DOI10.1007/s10092-024-00571-7arXiv2112.06201OpenAlexW4392230149MaRDI QIDQ6151546
Publication date: 11 March 2024
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.06201
Diffusion (76R50) 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) Numerical computation of matrix norms, conditioning, scaling (65F35) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical quadrature and cubature formulas (65D32)
Cites Work
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- A coupled continuous-discontinuous FEM approach for convection diffusion equations
- Layer-adapted meshes for convection-diffusion problems
- Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems
- On the local discontinuous Galerkin method for singularly perturbed problem with two parameters
- Finite element method on Shishkin mesh for a singularly perturbed problem with an interior layer
- Higher order uniformly convergent NIPG methods for 1-d singularly perturbed problems of convection-diffusion type
- A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids
- Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers
- Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension
- Numerical solution of saddle point problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- 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
- Finite element superconvergence approximation for one-dimensional singularly perturbed problems
- A supercloseness result for the discontinuous Galerkin stabilization of convection–diffusion problems on Shishkin meshes
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