Least-Squares Finite Element Methods: 166 (Applied Mathematical Sciences) - Softcover

Bochev, Pavel B.; Gunzburger, Max D.

 
9781441921604: Least-Squares Finite Element Methods: 166 (Applied Mathematical Sciences)
Softcover
ISBN 10: 1441921605 ISBN 13: 9781441921604
Verlag: Springer, 2011

Inhaltsangabe

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.

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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.

 

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
1441921605
ISBN 13 
9781441921604
Einband
Tapa blanda
Anzahl der Seiten
684
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9780387308883: Least-Squares Finite Element Methods: 166 (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  0387308881 ISBN 13:  9780387308883
Verlag: Springer, 2009
Hardcover