Least-Squares Finite Element Methods

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bochev, Pavel B. (Autor), Gunzburger, Max D. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Applied Mathematical Sciences, 166
Temas:
Numerical analysis.
Mathematical analysis.
Engineering mathematics.
Engineering-Data processing.
Mathematics-Data processing.
Mathematical optimization.
Calculus of variations.
Fluid mechanics.
Numerical Analysis.
Analysis.
Mathematical and Computational Engineering Applications.
Computational Mathematics and Numerical Analysis.
Calculus of Variations and Optimization.
Engineering Fluid Dynamics.
Acceso en línea:Texto Completo
Descripción
Sumario: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. .
Descripción Física:XXII, 660 p. online resource.
ISBN:9780387689227
ISSN:2196-968X ;

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