A TWO-GRID FINITE-ELEMENT METHOD FOR THE NONLINEAR SCHRODINGER EQUATION
In this paper, some two-grid finite element schemes are constructed for solving the nonlinear SchrSdinger equation. With these schemes, the solution of the original problem is reduced to the solution of the same problem on a much coarser grid together with the solutions of two linear problems on a f...
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| Veröffentlicht in: | Journal of computational mathematics 2015-03, Vol.33 (2), p.146-157 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, some two-grid finite element schemes are constructed for solving the nonlinear SchrSdinger equation. With these schemes, the solution of the original problem is reduced to the solution of the same problem on a much coarser grid together with the solutions of two linear problems on a fine grid. We have shown, both theoretically and numerically, that our schemes are efficient and achieve asymptotically optimal accuracy. |
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| ISSN: | 0254-9409 1991-7139 |
| DOI: | 10.4208/jcm.1409-m4323 |