An Asymptotically Fitted Finite Element Method for Convection Dominated Convection‐Diffusion‐Reaction Problems
Author:
- G. LubeGLG. Lube
- 1 January 1992
- journal article
- research article
- Published by Wiley in ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Vol. 72 (3) , 189-200
Abstract
This paper is concerned with the convergence of an asymptotically fitted variant of the finite method of streamline‐diffusion type for singularly perturbed elliptic boundary value problems modelling convection dominated convection‐diffusion problems. Numerical results are presented.Keywords
This publication has 7 references indexed in Scilit:
- Uniform in $\varepsilon $ discretization error estimates for convection dominated convection-diffusion problemsESAIM: Mathematical Modelling and Numerical Analysis, 1988
- Crosswind smear and pointwise errors in streamline diffusion finite element methodsMathematics of Computation, 1987
- On the convergence of a finite element method for a nonlinear hyperbolic conservation lawMathematics of Computation, 1987
- Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equationsComputer Methods in Applied Mechanics and Engineering, 1986
- Streamline diffusion methods for the incompressible Euler and Navier-Stokes equationsMathematics of Computation, 1986
- On the numerical solution of two-point singularly perturbed boundary value problemsComputer Methods in Applied Mechanics and Engineering, 1985
- Stability and Error Estimates of Galerkin Finite Element Approximations for Convection—Diffusion EquationsIMA Journal of Numerical Analysis, 1981