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| Content Provider | Springer Nature Link |
|---|---|
| Author | Lazarov, Raytcho Tomov, Stanimire |
| Copyright Year | 2002 |
| Abstract | We present the results of a study on a posteriori error control strategies for finite volume element approximations of second order elliptic differential equations. Finite volume methods ensure local mass conservation and, combined with some up-wind strategies, give monotone solutions. We adapt the local refinement techniques known from the finite element method to the finite volume discretizations of various boundary value problems for steady-state convection–diffusion–reaction equations. In this paper we derive and study a residual type error estimator and illustrate its practical performance on a series of computational tests in 2 and 3 dimensions. Our tests show that the discussed locally conservative approximation methods with a posteriori error control can be used successfully in numerical simulation of fluid flow and transport in porous media. |
| Starting Page | 483 |
| Ending Page | 503 |
| Page Count | 21 |
| File Format | |
| ISSN | 14200597 |
| Journal | Computational Geosciences |
| Volume Number | 6 |
| Issue Number | 3-4 |
| e-ISSN | 15731499 |
| Language | English |
| Publisher | Kluwer Academic Publishers |
| Publisher Date | 2002-01-01 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Hydrogeology Geotechnical Engineering Mathematical Modeling and Industrial Mathematics Soil Science & Conservation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics |
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