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An hp-adaptivity and error estimation for hyperbolic conservation laws
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Bey, Kim S. |
| Copyright Year | 1995 |
| Description | This paper presents an hp-adaptive discontinuous Galerkin method for linear hyperbolic conservation laws. A priori and a posteriori error estimates are derived in mesh-dependent norms which reflect the dependence of the approximate solution on the element size (h) and the degree (p) of the local polynomial approximation. The a posteriori error estimate, based on the element residual method, provides bounds on the actual global error in the approximate solution. The adaptive strategy is designed to deliver an approximate solution with the specified level of error in three steps. The a posteriori estimate is used to assess the accuracy of a given approximate solution and the a priori estimate is used to predict the mesh refinements and polynomial enrichment needed to deliver the desired solution. Numerical examples demonstrate the reliability of the a posteriori error estimates and the effectiveness of the hp-adaptive strategy. |
| File Size | 2217957 |
| Page Count | 14 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19960011636 |
| Archival Resource Key | ark:/13960/t40s4q07d |
| Language | English |
| Publisher Date | 1995-10-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Conservation Laws Error Analysis Computational Fluid Dynamics Polynomials Galerkin Method Computational Grids Grid Generation Mathematics Hyperbolic Differential Equations Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
