ADAPTIVE REMESHING FOR HYPERBOLIC TRANSPORT PROBLEMS
- 1 January 1994
- journal article
- research article
- Published by Taylor & Francis in International Journal of Computational Fluid Dynamics
- Vol. 3 (2) , 79-99
- https://doi.org/10.1080/10618569408904501
Abstract
This paper presents an adaptive finite element method for solving scalar hyperbolic transport problems. An equation for the evolution of the error is developed. The Lesaint-Raviart finite element method is used to solve both the transport problem and the error equation. The use of a hierarchical finite element basis on triangles leads to a very efficient error estimation algorithm. The adaptive strategy, based on remeshing, is dmonstrated on several non-trivial problems with known analytical solutions. Higher degree polynomials combined with adaptation produce a very efficient solution algorithm even for problems involving discontinuities.Keywords
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