A Posteriori Error Estimation Techniques for Finite Element Methods

Couverture du livre « A Posteriori Error Estimation Techniques for Finite Element Methods » de RÜ Diger VerfÜ Rth aux éditions Oup Oxford
  • Nombre de page : (non disponible)
  • Collection : (non disponible)
  • Genre : (non disponible)
  • Thème : Non attribué
  • Prix littéraire(s) : (non disponible)
Résumé:

Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main... Voir plus

Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computedfrom the given numerical solution and the data of the differential equation. This book reviews the most frequently used a posteriori error estimation techniques and applies them to a broad class of linear and nonlinear elliptic and parabolic equations. Although there are various approaches to adaptivity and a posteriori error estimation, they are all based on a few common principles. The main aim of the book is to elaborate these basic principles and to give guidelines for developing adaptive schemes for new problems. Chapters 1 and 2 are quite elementary and present various error indicators and their use for mesh adaptation in the framework of a simple model problem. The basic principles are introduced using a minimal amount of notations and techniques providing a complete overview for the non-specialist. Chapters 4-6 on the other hand are more advanced and present a posteriori error estimates within a general framework using the technical tools collected in Chapter 3. Most sections close with abibliographical remark which indicates the historical development and hints at further results.

Donner votre avis

Les derniers avis

Ce livre n'a pas encore d'avis. Donnez le vôtre et partagez-le avec la communauté de lecteurs.com

Donnez votre avis sur ce livre

Pour donner votre avis vous devez vous identifier, ou vous inscrire si vous n'avez pas encore de compte.

Où trouver ce livre en librairie ?

Service proposé en partenariat avec Place des Libraires

Discussions autour de ce livre

Il n'y a pas encore de discussion sur ce livre

Soyez le premier à en lancer une !

Forum de discussion

Afficher plus de discussions