An analysis of a conforming exponentially fitted finite element method for a convection-diffusion problem
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Publication:1612350
DOI10.1016/S0377-0427(01)00530-1zbMath1008.65081MaRDI QIDQ1612350
Publication date: 22 August 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
convection-diffusion problemsboundary layerexponential fittingGalerkin finite element methodsprojective-grid methods
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Cites Work
- Numerical simulation of semiconductor devices
- Inadequacy of first-order upwind difference schemes for some recirculating flows
- An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems
- A novel exponentially fitted triangular finite element method for an advection-diffusion problem with boundary layers
- A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
- A priori estimates for the solution of convection-diffusion problems and interpolation on Shishkin meshes
- The patch test as a validation of a new finite element for the solution of convection-diffusion equations
- Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type
- A novel nonconforming uniformly convergent finite element method in two dimensions
- A monotonic scheme for advection-diffusion problems
- A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
- On the Angle Condition in the Finite Element Method
- Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models
- A new exponentially fitted triangular finite element method for the continuity equations in the drift-diffusion model of semiconductor devices
- A monotone finite element scheme for convection-diffusion equations
- A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem
- Error estimates for the finite-element solution of an elliptic singularly perturbed problem
- RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER
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