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Fully adaptive multiresolution finite volume schemes for conservation laws (2000).
| Content Provider | CiteSeerX |
|---|---|
| Author | Cohen, Albert Kaber, Sidi Mahmoud Müller, Siegfried Postel, Marie |
| Abstract | The use of multiresolution decompositions in the context of finite volume schemes for conservation laws was firstly proposed by A. Harten for the purpose of accelerating the evaluation of numerical uxes through an adaptive computation. In this approach the solution is still represented at each time step on the finest grid, resulting in an inherent limitation of the potential gain in memory space and computational time. The present paper is concerned with the development and the numerical analysis of fully adaptive multiresolution schemes, in which the solution is represented and computed in a dynamically evolved adaptive grid. A crucial problem is then the accurate computation of the flux without the full knowledge of fine grid cell averages. Several solutions to this problem are proposed, analyzed and compared in terms of accuracy and complexity. |
| File Format | |
| Publisher Date | 2000-01-01 |
| Access Restriction | Open |
| Subject Keyword | Conservation Law Adaptive Multiresolution Finite Volume Scheme Present Paper Full Knowledge Numerical Analysis Numerical Uxes Crucial Problem Time Step Adaptive Computation Multiresolution Decomposition Fine Grid Cell Average Memory Space Potential Gain Accurate Computation Inherent Limitation Adaptive Multiresolution Scheme Several Solution Finite Volume Scheme Computational Time Adaptive Grid |
| Content Type | Text |
