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

Balyan, Lokendra Kumar; Dutt, Pravir

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

Inhaltsangabe

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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Über die Autorin bzw. den 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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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
3846589845
ISBN 13 
9783846589847
Einband
Taschenbuch
Anzahl der Seiten
112
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Editions Muse
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