Extended Variational Formulation for Heterogeneous Partial Differential Equations
Abstract: We address the coupling of an advection equation with a diffusion-advection equation, for solutions featuring boundary layers. We consider non-overlapping domain decompositions and we face up the heterogeneous problem using an extended variational formulation. We will prove the equivalence between the latter formulation and a treatment based on a singular perturbation theory. An exhaustive comparison in terms of solution and computational efficiency between these formulations is carried out.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Extended Variational Formulation for Heterogeneous Partial Differential Equations ; volume:11 ; number:2 ; year:2011 ; pages:141-172
Computational methods in applied mathematics ; 11, Heft 2 (2011), 141-172
- Urheber
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Blanco, Pablo
Gervasio, Paola
Quarteroni, Alfio
- DOI
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10.2478/cmam-2011-0008
- URN
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urn:nbn:de:101:1-2410261637444.462669796264
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:31 MESZ
Datenpartner
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Beteiligte
- Blanco, Pablo
- Gervasio, Paola
- Quarteroni, Alfio