Solution of porous medium type systems by linear approximation schemes
The convergence of semi-discrete and discrete linear approximation schemes is analysed for nonlinear degenerate parabolic systems of porous medium type. The enthalpy formulation and variational technique are used. The semi-discretization used reduces the original parabolic P.D.E. to linear elliptic...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1991
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| In: |
Numerische Mathematik
Year: 1991, Jahrgang: 60, Heft: 1, Pages: 407-427 |
| ISSN: | 0945-3245 |
| DOI: | 10.1007/BF01385729 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.1007/BF01385729 Verlag, Volltext: https://link.springer.com/article/10.1007/BF01385729 
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| Verfasserangaben: | Willi Jäger and Jozef Kačur |
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| 520 | |a The convergence of semi-discrete and discrete linear approximation schemes is analysed for nonlinear degenerate parabolic systems of porous medium type. The enthalpy formulation and variational technique are used. The semi-discretization used reduces the original parabolic P.D.E. to linear elliptic P.D.E. The algebraic correction arising from nonlinearities is treated by Newton-like iterations in finite steps. Some numerical experiments are discussed and compared with the analytical solutions. | ||
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