Singularly perturbed problem based on multiscale finite element scheme and its uniform super-convergence analyses
DOI10.12286/JSSX.J2022-0996MaRDI QIDQ6665220
Shan Jiang, Yeping Li, Meiling Sun
Publication date: 17 January 2025
Published in: Mathematica Numerica Sinica (Search for Journal in Brave)
convection-diffusion equationboundary layeradaptive meshmultiscale finite element methodsuper-convergence
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Cites Work
- A singularly perturbed problem with two parameters on a Bakhvalov-type mesh
- A brief survey on numerical methods for solving singularly perturbed problems
- Layer-adapted meshes for convection-diffusion problems
- The streamline-diffusion finite element method on graded meshes for a convection-diffusion problem
- On the local discontinuous Galerkin method for singularly perturbed problem with two parameters
- Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers
- An elliptic singularly perturbed problem with two parameters. I: Solution decomposition
- Fitted Numerical Methods For Singular Perturbation Problems
- Superconvergence for finite element approximation of a convection-diffusion equation using graded meshes
- Graded Meshes for Higher Order FEM
- A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters
- A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers
- Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation
- REDUCED MULTISCALE COMPUTATION ON ADAPTED GRID FOR THE CONVECTION-DIFFUSION ROBIN PROBLEM
- An adapted Petrov–Galerkin multi-scale finite element method for singularly perturbed reaction–diffusion problems
This page was built for publication: Singularly perturbed problem based on multiscale finite element scheme and its uniform super-convergence analyses
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6665220)
