Status: Bibliographieeintrag
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| Verfasst von: | Neuss-Radu, Maria [VerfasserIn]  |
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| | Ludwig, Stephan Ernst [VerfasserIn] |
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| | Jäger, Willi [VerfasserIn] |
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| Titel: | Multiscale analysis and simulation of a reaction-diffusion problem with transmission conditions |
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| Verf.angabe: | Maria Neuss-Radu, Stephan Ludwig, Willi Jäger |
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| Jahr: | 2010 |
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| Umfang: | 14 S. |
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| Fussnoten: | Available online 30 January 2009 ; Gesehen am 18.08.2018 |
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| Titel Quelle: | Enthalten in: Multiscale problems in science and technology |
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| Ort Quelle: | 2010 |
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| Jahr Quelle: | 2010 |
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| Band/Heft Quelle: | 11(2010), 6, Seite 4572-4585 |
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| Abstract: | This paper considers a transmission problem for partial differential equations obtained in the recent paper [M. Neuss-Radu, W. Jäger, Effective transmission conditions for reaction-diffusion processes in domains separated by an interface, SIAM J. Math. Anal. 39 (2007) 687-720] as the effective system modeling a reaction-diffusion process in two domains separated by a membrane. For the analysis of this problem an appropriate function space, which includes the coupling conditions for the concentrations on the interface, is introduced. The transmission conditions for the flux are included in the variational formulation with respect to this function space. The solution of the transmission problem is approximated by using the Galerkin method. Numerically the problem is reduced to a system of ordinary differential equations, where the coupling of the micro- and macro-variables leads to a special structure, distinguishing the variables relevant for the transmission. Results of numerical simulations are illustrating the effect of the microscopic process in the membrane on the macroscopic reaction-diffusion process in the bulk domains. |
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| DOI: | doi:10.1016/j.nonrwa.2008.11.024 |
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| URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext ; Verlag: http://dx.doi.org/10.1016/j.nonrwa.2008.11.024 |
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| | Volltext: http://www.sciencedirect.com/science/article/pii/S1468121809000480 |
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| | DOI: https://doi.org/10.1016/j.nonrwa.2008.11.024 |
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| Datenträger: | Online-Ressource |
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| Sprache: | eng |
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| Sach-SW: | Nonlinear reaction-diffusion system |
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| | Numerical multiscale analysis |
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| | Transmission conditions |
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| K10plus-PPN: | 1580145221 |
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| Verknüpfungen: | → Sammelwerk |
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Multiscale analysis and simulation of a reaction-diffusion problem with transmission conditions / Neuss-Radu, Maria [VerfasserIn]; 2010 (Online-Ressource)
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