Finite Element Adaptation for PDEs: Duality methods for time-space adaptivity - Couverture souple

Carpio Huertas, Jaime; Bermejo, Rodolfo

 
9783838341507: Finite Element Adaptation for PDEs: Duality methods for time-space adaptivity
Couverture souple
ISBN 10 : 3838341503 ISBN 13 : 9783838341507
Editeur : LAP Lambert Academic Publishing, 2010

Synopsis

Nowadays, numerical methods are crucial in order to understand the physics behind great amount of industrial processes. Engineers, mathematicians, physicists and scientists in general, work on a wide variety of problems modelled by partial differential equations (PDEs). In most of these problems the physical phenomena are extremely complex, with several scales of time and space, making difficult to calculate the numerical solution of the equations. In this work we propose an efficient numerical treatment of time dependent PDEs equations, with special interest on fluid dynamics and combustion problems, using adaptive techniques. The goal of our adaptation is to design both economical meshes and time steps sizes to compute an accurate solution with a reduced computational cost. The adaptation will be based on information extracted from an a posteriori error estimator calculated by duality techniques in terms of an output target functional, J(u), of the solution u of our problem.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Nowadays, numerical methods are crucial in order to understand the physics behind great amount of industrial processes. Engineers, mathematicians, physicists and scientists in general, work on a wide variety of problems modelled by partial differential equations (PDEs). In most of these problems the physical phenomena are extremely complex, with several scales of time and space, making difficult to calculate the numerical solution of the equations. In this work we propose an efficient numerical treatment of time dependent PDEs equations, with special interest on fluid dynamics and combustion problems, using adaptive techniques. The goal of our adaptation is to design both economical meshes and time steps sizes to compute an accurate solution with a reduced computational cost. The adaptation will be based on information extracted from an a posteriori error estimator calculated by duality techniques in terms of an output target functional, J(u), of the solution u of our problem.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP Lambert Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838341503
ISBN 13 
9783838341507
Reliure
Broché
Nombre de pages
148
Coordonnées du fabricant
non disponible
Personne responsable
KreGa Onlinehandel GmbH
4950000000000
info@krega-onlinehandel.de

Birkenweg 31
Brakel
33034
Allemagne