Supercloseness result of higher order FEM/LDG coupled method for solving singularly perturbed problem on S-type mesh
DOI10.1155/2014/260840zbMath1470.65146OpenAlexW2086263528WikidataQ59037171 ScholiaQ59037171MaRDI QIDQ1722486
Huonian Tu, Peng Zhu, Shenglan Xie
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/260840
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
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Cites Work
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- Convergence analysis of the LDG method for singularly perturbed two-point boundary value problems
- A uniformly convergent continuous-discontinuous Galerkin method for singularly perturbed problems of convection-diffusion type
- A coupled continuous-discontinuous FEM approach for convection diffusion equations
- Local projection stabilisation on \(S\)-type meshes for convection-diffusion problems with characteristic layers
- A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
- An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
- Continuous-discontinuous finite element method for convection-diffusion problems with characteristic layers
- Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type
- Analysis of a new stabilized higher order finite element method for advection-diffusion equations
- Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Uniform superconvergence analysis of the discontinuous Galerkin method for a singularly perturbed problem in 1-D
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
- Convergence phenomena of \documentclass{article} \usepackage{amsmath,amsfonts}\pagestyle{empty}\begin{document} $\mathcal{Q}_p$ \end{document}‐elements for convection–diffusion problems
- Convergence analysis of the LDG method applied to singularly perturbed problems
- A supercloseness result for the discontinuous Galerkin stabilization of convection–diffusion problems on Shishkin meshes
- On the coupling of local discontinuous Galerkin and conforming finite element methods
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