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.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
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
- Creator
-
Blanco, Pablo
Gervasio, Paola
Quarteroni, Alfio
- DOI
-
10.2478/cmam-2011-0008
- URN
-
urn:nbn:de:101:1-2410261637444.462669796264
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:31 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Blanco, Pablo
- Gervasio, Paola
- Quarteroni, Alfio
Other Objects (12)
VARIATIONAL FORMULATION FOR A HYPERBOLIC PROBLEM
A variational formulation of a floating body
DUAL VARIATIONAL FORMULATION FOR A HYPERBOLIC PROBLEM
Variational bayes via propositionalization : (extended abstract)
Variational inequality formulation of circular cone eigenvalue complementarity problems
Spontaneously broken extended supersymmetry: full superfield formulation
Extended Lorentz Cones and Variational Inequalities on Cylinders
A variational formulation for motion design of adaptive compliant structures
A variational formulation for translation and assimilation of coherent structures
From Kernel Methods to Neural Networks: A Unifying Variational Formulation
Self-dual Partial Differential Systems and Their Variational Principles
Variational, topological, and partial order methods with their applications
VARIATIONAL FORMULATION FOR A HYPERBOLIC PROBLEM
A variational formulation of a floating body
DUAL VARIATIONAL FORMULATION FOR A HYPERBOLIC PROBLEM
Variational bayes via propositionalization : (extended abstract)
Variational inequality formulation of circular cone eigenvalue complementarity problems
Spontaneously broken extended supersymmetry: full superfield formulation
Extended Lorentz Cones and Variational Inequalities on Cylinders
A variational formulation for motion design of adaptive compliant structures
A variational formulation for translation and assimilation of coherent structures
From Kernel Methods to Neural Networks: A Unifying Variational Formulation
Self-dual Partial Differential Systems and Their Variational Principles
Variational, topological, and partial order methods with their applications
VARIATIONAL FORMULATION FOR A HYPERBOLIC PROBLEM
A variational formulation of a floating body
DUAL VARIATIONAL FORMULATION FOR A HYPERBOLIC PROBLEM
Variational bayes via propositionalization : (extended abstract)
Variational inequality formulation of circular cone eigenvalue complementarity problems
Spontaneously broken extended supersymmetry: full superfield formulation
Extended Lorentz Cones and Variational Inequalities on Cylinders
A variational formulation for motion design of adaptive compliant structures
A variational formulation for translation and assimilation of coherent structures
From Kernel Methods to Neural Networks: A Unifying Variational Formulation
Self-dual Partial Differential Systems and Their Variational Principles