An energy-stable generalized-α method for the Swift-Hohenberg equation
| dc.contributor.author | Sarmiento, A. | |
| dc.contributor.author | Espath, L. | |
| dc.contributor.author | Vignal, P. | |
| dc.contributor.author | Dalcin, L. | |
| dc.contributor.author | Parsani, M. | |
| dc.contributor.author | Calo, Victor | |
| dc.date.accessioned | 2018-02-06T06:15:22Z | |
| dc.date.available | 2018-02-06T06:15:22Z | |
| dc.date.created | 2018-02-06T05:50:02Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Sarmiento, A. and Espath, L. and Vignal, P. and Dalcin, L. and Parsani, M. and Calo, V. 2017. An energy-stable generalized-α method for the Swift-Hohenberg equation. Journal of Computational and Applied Mathematics. 344: pp. 836-851. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/63144 | |
| dc.identifier.doi | 10.1016/j.cam.2017.11.004 | |
| dc.description.abstract |
We propose a second-order accurate energy-stable time-integration method that controls the evolution of numerical instabilities introducing numerical dissipation in the highest-resolved frequencies. Our algorithm further extends the generalized-a method and provides control over dissipation via the spectral radius. We derive the first and second laws of thermodynamics for the Swift-Hohenberg equation and provide a detailed proof of the unconditional energy stability of our algorithm. Finally, we present numerical results to verify the energy stability and its second-order accuracy in time. | |
| dc.publisher | Elsevier | |
| dc.title | An energy-stable generalized-α method for the Swift-Hohenberg equation | |
| dc.type | Journal Article | |
| dcterms.source.issn | 0377-0427 | |
| dcterms.source.title | Journal of Computational and Applied Mathematics | |
| curtin.department | School of Earth and Planetary Sciences (EPS) | |
| curtin.accessStatus | Open access |