Asymptotic finite element method for boundary value problems
- 1 January 1986
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Fluids
- Vol. 6 (1) , 21-34
- https://doi.org/10.1002/fld.1650060103
Abstract
The Asymptotic Finite Element method for improvement of standard finite element solutions of perturbation equations by the addition of asymptotic corrections to the right hand side terms is presented. It is applied here to 1‐D and 2‐D diffusion–convection equations and to non‐linear similarity equations. Excellent results were obtained without the a priori use of special trial and test functions. Theoretical expectations were confirmed.Keywords
This publication has 15 references indexed in Scilit:
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equationsPublished by Elsevier ,2003
- Asymptotic and finite element approximations for heat transfer in rotating compressible flow over an infinite porous diskComputers & Fluids, 1984
- On the accuracy of interlaminar stress calculation in laminated platesComputer Methods in Applied Mechanics and Engineering, 1983
- Variable upwinding and adaptive mesh refinement in convection-diffusionInternational Journal for Numerical Methods in Engineering, 1983
- Aspects of Numerical Methods for Elliptic Singular Perturbation ProblemsSIAM Journal on Scientific and Statistical Computing, 1982
- Round-off error in the penalty finite element analysis of incompressible continuous mediaInternational Journal for Numerical Methods in Engineering, 1982
- The numerical solution of boundary value problems for stiff differential equationsMathematics of Computation, 1977
- The Numerical Solution of Boundary Value Problems for Stiff Differential EquationsMathematics of Computation, 1977
- Finite element methods for second order differential equations with significant first derivativesInternational Journal for Numerical Methods in Engineering, 1976
- Extension of perturbation series by computer: Viscous flow between two infinite rotating disksJournal of Computational Physics, 1974