Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
- 1 January 1993
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 60 (201) , 167-188
- https://doi.org/10.2307/2153160
Abstract
Adaptive finite element methods for stationary convection-diffusion problems are designed and analyzed. The underlying discretization scheme is the Shock-capturing Streamline Diffusion method. The adaptive algorithms proposed are based on a posteriori error estimates for this method leading to reliable methods in the sense that the desired error control is guaranteed. A priori error estimates are used to show that the algorithms are efficient in a certain sense.Keywords
This publication has 12 references indexed in Scilit:
- Adaptive streamline diffusion methods for compressible flow using conservation variablesComputer Methods in Applied Mechanics and Engineering, 1991
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model ProblemSIAM Journal on Numerical Analysis, 1991
- A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equationsComputer Methods in Applied Mechanics and Engineering, 1990
- Adaptive finite element methods for diffusion and convection problemsComputer Methods in Applied Mechanics and Engineering, 1990
- On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation LawsMathematics of Computation, 1990
- An Adaptive Finite Element Method for Linear Elliptic ProblemsMathematics of Computation, 1988
- On the Convergence of a Finite Element Method for a Nonlinear Hyperbolic Conservation LawMathematics of Computation, 1987
- Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element MethodsMathematics of Computation, 1987
- Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes EquationsMathematics of Computation, 1986
- Finite element methods for linear hyperbolic problemsComputer Methods in Applied Mechanics and Engineering, 1984