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Convergence results for pseudospectral approximations of hyperbolic systems by a penalty type boundary treatment
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Gottlieb, David Funaro, Daniele |
| Copyright Year | 1989 |
| Description | A new method of imposing boundary conditions in the pseudospectral approximation of hyperbolic systems of equations is proposed. It is suggested to collocate the equations, not only at the inner grid points, but also at the boundary points and use the boundary conditions as penalty terms. In the pseudo-spectral Legrendre method with the new boundary treatment, a stability analysis for the case of a constant coefficient hyperbolic system is presented and error estimates are derived. |
| File Size | 583768 |
| Page Count | 26 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19900002914 |
| Archival Resource Key | ark:/13960/t3pw1d42w |
| Language | English |
| Publisher Date | 1989-09-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Boundary Value Problems Approximation Error Analysis Estimating Legendre Functions Boundary Conditions Hyperbolic Functions Spectral Methods Convergence Penalty Function Collocation Computational Grids Numerical Stability Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
