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

Balyan, Lokendra Kumar; Dutt, Pravir

Softcover

ISBN 10: 3846589845 ISBN 13: 9783846589847

Publisher: LAP LAMBERT Academic Publishing, 2012

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• ISBN 10: 3846589845
• ISBN 13: 9783846589847
• Binding: Paperback
• Language: English
• Number of pages: 112