An Additive Schwarz Method for the P-Version Finite Element Method (Classic Reprint) - Couverture souple

Pavarino, Luca F.

Couverture souple

ISBN 10 : 1334017565 ISBN 13 : 9781334017568

Editeur : Forgotten Books, 2018

Synopsis

Learn a practical method for speeding up complex finite element calculations with the additive Schwarz approach, tailored for p-version elements.

This book presents how to apply the additive Schwarz method to a two- and three-dimensional model problem using square and brick-shaped elements. It explains the mathematical framework, including the discretization with high-degree polynomials and the construction of local subspaces that improve solver performance without sacrificing accuracy.

- See how subdomain projections are defined and used to split the problem into manageable pieces
- Understand error bounds and convergence results that hold uniformly as the polynomial degree increases
- Follow the step-by-step development from the two-dimensional case to three dimensions
- Explore the practical implications for preconditioning in p-version finite element methods

Ideal for engineers and researchers working on scalable solvers for high-order finite element problems who want a rigorous, implementable path to faster computations.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1334017565
• ISBN 13: 9781334017568
• Reliure: Broché
• Nombre de pages: 29
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
• Personne responsable: non disponible