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The convergence of spectral methods for nonlinear conservation laws
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Tadmor, Eitan |
| Copyright Year | 1987 |
| Description | The convergence of the Fourier method for scalar nonlinear conservation laws which exhibit spontaneous shock discontinuities is discussed. Numerical tests indicate that the convergence may (and in fact in some cases must) fail, with or without post-processing of the numerical solution. Instead, a new kind of spectrally accurate vanishing viscosity is introduced to augment the Fourier approximation of such nonlinear conservation laws. Using compensated compactness arguments, it is shown that this spectral viscosity prevents oscillations, and convergence to the unique entropy solution follows. |
| File Size | 844776 |
| Page Count | 24 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19870018925 |
| Archival Resource Key | ark:/13960/t3033r256 |
| Language | English |
| Publisher Date | 1987-08-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Conservation Laws Viscosity Shock Discontinuity Approximation Scalars Fourier Analysis Nonlinear Systems Spectral Methods Convergence 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 |
