Parameter-uniform superconvergence of multiscale computation for singular perturbation exhibiting twin boundary layers

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

A review on singularly perturbed differential equations with turning points and interior layers
A singularly perturbed problem with two parameters on a Bakhvalov-type mesh
Quintic B-spline method for solving second order linear and nonlinear singularly perturbed two-point boundary value problems
Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers
Uniform high-order convergence of multiscale finite element computation on a graded recursion for singular perturbation
Layer-adapted meshes for convection-diffusion problems
Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.
Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s)
The streamline-diffusion finite element method on graded meshes for a convection-diffusion problem
Galerkin finite element methods for convection-diffusion problems with exponential layers on Shishkin triangular meshes and hybrid meshes
Adaptive generalized multiscale finite element methods for \(\mathrm{H(curl)}\)-elliptic problems with heterogeneous coefficients
A singularly perturbed problem with two parameters in two dimensions on graded meshes
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
The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems
Finite element approximation of reaction-diffusion problems using an exponentially graded mesh
A modified graded mesh and higher order finite element approximation for singular perturbation problems
Robust equilibrated a posteriori error estimator for higher order finite element approximations to diffusion problems
Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers
A modified Bakhvalov mesh
Finite element approximation of convection diffusion problems using graded meshes
A parameter uniform B-spline collocation method for solving singularly perturbed turning point problem having twin boundary layers
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
A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation
REDUCED MULTISCALE COMPUTATION ON ADAPTED GRID FOR THE CONVECTION-DIFFUSION ROBIN PROBLEM
Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems
An adapted Petrov–Galerkin multi-scale finite element method for singularly perturbed reaction–diffusion problems
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem
Efficient numerical solution of two-dimensional time-space fractional nonlinear diffusion-wave equations with initial singularity

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