h-p Spectral Element Method for Elliptic Eigenvalue Problems: Eigenvalue Problems on Non-smooth domains - Tapa blanda

Balyan, Lokendra Kumar; Dutt, Pravir

 
9783846589847: h-p Spectral Element Method for Elliptic Eigenvalue Problems: Eigenvalue Problems on Non-smooth domains
Tapa blanda
ISBN 10: 3846589845 ISBN 13: 9783846589847
Editorial: LAP LAMBERT Academic Publishing, 2012

Sinopsis

This book deals with the techniques to solve elliptic eigenvalue problems on polygonal domains using least squares methods. It provides an in-depth treatment of an exponentially accurate nonconforming h-p spectral element method. The spectral element functions are nonconforming and a correction is made to the approximate solution so that the corrected solution is conforming. In this book we discuss the method separately when the boundary of underlying domain is smooth and also when the boundary contains corners. We present error estimates for the eigenvalues and eigenvectors and show that the error in the numerical solution is exponentially small. Theoretical results presented in the book are equally well suited for multiple or clustered eigenvalues.

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Reseña del editor

This book deals with the techniques to solve elliptic eigenvalue problems on polygonal domains using least squares methods. It provides an in-depth treatment of an exponentially accurate nonconforming h-p spectral element method. The spectral element functions are nonconforming and a correction is made to the approximate solution so that the corrected solution is conforming. In this book we discuss the method separately when the boundary of underlying domain is smooth and also when the boundary contains corners. We present error estimates for the eigenvalues and eigenvectors and show that the error in the numerical solution is exponentially small. Theoretical results presented in the book are equally well suited for multiple or clustered eigenvalues.

Biografía del autor

Author was born in a village of Uttar Pradesh, INDIA. He did his Master of Science in applied mathematics from I.I.T. Roorkee and Ph.D. in applied mathematics and parallel computing from I.I.T. Kanpur in 2009. His current research areas are Numerical Analysis, Algorithms and High Performance Computing.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2012
Idioma
Inglés
ISBN 10 
3846589845
ISBN 13 
9783846589847
Encuadernación
Tapa blanda
Número de páginas
112
Contacto del fabricante
no disponible
Persona responsable
no disponible