Discretization Methods and Iterative Solvers Based on Domain Decomposition: 17 (Lecture Notes in Computational Science and Engineering, 17) - Tapa blanda

Wohlmuth, Barbara I.

 
9783540410836: Discretization Methods and Iterative Solvers Based on Domain Decomposition: 17 (Lecture Notes in Computational Science and Engineering, 17)
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ISBN 10: 354041083X ISBN 13: 9783540410836
Editorial: Springer, 2013

Sinopsis

Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.

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Reseña del editor

Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science and engineering. This book deals with discretization techniques on non-matching triangulations and iterative solvers with particular emphasis on mortar finite elements, Schwarz methods and multigrid techniques. New results on non-standard situations as mortar methods based on dual basis functions and vector field discretizations are analyzed and illustrated by numerical results. The role of trace theorems, harmonic extensions, dual norms and weak interface conditions is emphasized. Although the original idea was used successfully more than a hundred years ago, these methods are relatively new for the numerical approximation. The possibilites of high performance computations and the interest in large- scale problems have led to an increased research activity.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
354041083X
ISBN 13 
9783540410836
Encuadernación
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Número de páginas
216
Contacto del fabricante
no disponible
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9783642567681: Discretization Methods and Iterative Solvers Based on Domain Decomposition

Edición Destacada

ISBN 10:  3642567681 ISBN 13:  9783642567681
Editorial: Springer, 2011
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