Uniform high-order convergence of multiscale finite element computation on a graded recursion for singular perturbation
From MaRDI portal
Publication:779910
DOI10.3934/era.2020049zbMath1452.65134OpenAlexW3034937298MaRDI QIDQ779910
Publication date: 14 July 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020049
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items
Robust numerical method for singularly perturbed differential equations having both large and small delay, Parametric uniform numerical method for singularly perturbed differential equations having both small and large delay
Cites Work
- Unnamed Item
- Robust a posteriori error estimates for conforming discretizations of a singularly perturbed reaction-diffusion problem on anisotropic meshes
- Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems
- Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: a splitting by components
- A finite difference analysis of a streamline diffusion method on a Shishkin mesh
- Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm
- An adaptive staggered discontinuous Galerkin method for the steady state convection-diffusion equation
- A parameter uniform numerical method for a nonlinear elliptic reaction-diffusion problem
- Finite element approximation of reaction-diffusion problems using an exponentially graded mesh
- Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems
- 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
- Stability and accuracy of adapted finite element methods for singularly perturbed problems
- Finite element approximation of convection diffusion problems using graded meshes
- Fitted Numerical Methods For Singular Perturbation Problems
- Graded Meshes for Higher Order FEM
- A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems
- REDUCED MULTISCALE COMPUTATION ON ADAPTED GRID FOR THE CONVECTION-DIFFUSION ROBIN PROBLEM
- An đ-uniform method for a class of singularly perturbed parabolic problems with Robin boundary conditions having boundary turning point
- An adapted PetrovâGalerkin multi-scale finite element method for singularly perturbed reactionâdiffusion problems