Results 201 to 210 of about 421,152 (262)
Some of the next articles are maybe not open access.
Defect correction on Shishkin-type meshes
Numerical Algorithms, 2001The authors consider a defect-correction method that combines a first-order upwinded difference scheme with a second-order central difference scheme for a model singularly perturbed convection-diffusion problem in one dimension on a class of Shishkin-type meshes. They give the first general proof of uniform second-order convergence of this method. As a
Fröhner, Anja +2 more
openaire +2 more sources
The sdfem on Shishkin meshes for linear convection-diffusion problems
Numerische Mathematik, 2001The authors consider a modified streamline diffusion finite element method (SDFEM) in order to resolve the boundary layer in some 2D singularly perturbed linear elliptic problems. They use piecewise linear functions on highly nonuniform Shishkin meshes.
Linß, Torsten, Stynes, Martin
openaire +2 more sources
Numerical methods on Shishkin meshes for linear convection–diffusion problems
Computer Methods in Applied Mechanics and Engineering, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Linß, Torsten, Stynes, Martin
openaire +2 more sources
Richardson extrapolation for a convection–diffusion problem using a Shishkin mesh
Applied Numerical Mathematics, 2003For the solution of a linear two-point convection-diffusion boundary value problem the authors consider a simple upwind scheme on a piecewise uniform Shishkin type mesh. An application of Richardson's extrapolation principle improves the convergence rate in the discrete \(L_\infty\) norm from \(O(N^{-1} \ln N)\) to \(O(N^{-2} \ln^2 N)\).
Natividad, Maria Caridad, Stynes, Martin
openaire +2 more sources
International Journal of Computational Methods
In this paper, we investigate the application of the direct discontinuous Galerkin (DDG) method for the numerical approximation of singularly perturbed coupled reaction-diffusion systems.
Amit Yadav, Gautam Singh
semanticscholar +1 more source
In this paper, we investigate the application of the direct discontinuous Galerkin (DDG) method for the numerical approximation of singularly perturbed coupled reaction-diffusion systems.
Amit Yadav, Gautam Singh
semanticscholar +1 more source
Pointwise error estimates of the bilinear SDFEM on Shishkin meshes
Numerical Methods for Partial Differential Equations, 2012AbstractA model singularly perturbed convection–diffusion problem in two space dimensions is considered. The problem is solved by a streamline diffusion finite element method (SDFEM) that uses piecewise bilinear finite elements on a Shishkin mesh. We prove that the method is convergent, independently of the diffusion parameter ε, with a pointwise ...
Zhang, Jin, Mei, Liquan
openaire +2 more sources
arXiv.org
The singularly perturbed reaction-diffusion problem $\varepsilon^2\Delta^2 u - \mathrm{div}\left(c\nabla u\right) = f$ is considered on the unit square $\Omega$ in $\mathbb{R}^2$ with homogenous Dirichlet boundary conditions.
Xiangyun Meng, M. Stynes
semanticscholar +1 more source
The singularly perturbed reaction-diffusion problem $\varepsilon^2\Delta^2 u - \mathrm{div}\left(c\nabla u\right) = f$ is considered on the unit square $\Omega$ in $\mathbb{R}^2$ with homogenous Dirichlet boundary conditions.
Xiangyun Meng, M. Stynes
semanticscholar +1 more source
Solving a partially singularly perturbed initial value problem on Shishkin meshes
Applied Mathematics and Computation, 2010The authors analyse a new numerical method for the solution of partially singularly perturbed systems of two coupled ordinary differential equations. Partially singularly perturbed is understood in the sense that one of the coupled equations is singularly perturbed while the other is not.
Meenakshi, P. Maragatha +2 more
openaire +1 more source
A modification of the Shishkin discretization mesh for one-dimensional reaction–diffusion problems
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vulanović, Relja, Teofanov, Ljiljana
openaire +1 more source
Finite difference numerical solution of Troesch’s problem on a piecewise uniform Shishkin mesh
Calcolo, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Temimi, Helmi +3 more
openaire +2 more sources