Least-Squares Finite Element Methods - Couverture rigide

Bochev, Pavel B; Gunzburger, Max D

Couverture rigide

ISBN 10 : 0387308881 ISBN 13 : 9780387308883

Editeur : Springer-Verlag New York Inc., 2009

Synopsis

This book is written to provide a common, mathematically sound foundation for least-squares finite element methods. It is intended to give both the researcher and the practitioner a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.

A propos du livre

À propos de la quatrième de couverture

The book examines theoretical and computational aspects of least-squares finite element methods(LSFEMs) for partial differential equations (PDEs) arising in key science and engineering applications. It is intended for mathematicians, scientists, and engineers interested in either or both the theory and practice associated with the numerical solution of PDEs.

The first part looks at strengths and weaknesses of classical variational principles, reviews alternative variational formulations, and offers a glimpse at the main concepts that enter into the formulation of LSFEMs. Subsequent parts introduce mathematical frameworks for LSFEMs and their analysis, apply the frameworks to concrete PDEs, and discuss computational properties of resulting LSFEMs. Also included are recent advances such as compatible LSFEMs, negative-norm LSFEMs, and LSFEMs for optimal control and design problems. Numerical examples illustrate key aspects of the theory ranging from the importance of norm-equivalence to connections between compatible LSFEMs and classical-Galerkin and mixed-Galerkin methods.

Pavel Bochev is a Distinguished Member of the Technical Staff at Sandia National Laboratories with research interests in compatible discretizations for PDEs, multiphysics problems, and scientific computing.

Max Gunzburger is Frances Eppes Professor of Scientific Computing and Mathematics at Florida State University and recipient of the W.T. and Idelia Reid Prize in Mathematics from the Society for Industrial and Applied Mathematics.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 0387308881
• ISBN 13: 9780387308883
• Reliure: Relié
• Nombre de pages: 660
• Coordonnées du fabricant: KINESIS; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; 22391; Allemagne