Application of Sobolev gradient to Poisson Boltzmann system: Sobolev inner products as preconditiong operators in the steepest descent minimization process - Softcover

Majid, Abdul; Sial, Sultan

Softcover

ISBN 10: 3659169404 ISBN 13: 9783659169403

Publisher: LAP LAMBERT Academic Publishing, 2012

Synopsis

This book offers an application of Sobolev gradient approach to Poisson Boltzmann system. A detailed description of Sobolev gradient method is given and its application is demonstrated on the Poisson Boltzmann system when there are large non-linearities and discontinuities in the coefficient functions. Poisson Boltzmann is a physical model that governs the electrostatic potential of macromolecules when immersed in solvent. It is shown that in some cases Sobolev gradient performs better in terms of efficiency than other existing fast methods such as multigrid and Newton's methods. The experiments' results are given in both finite element and finite difference settings. This book presents a fine blend of Functional Analysis, Numerical Analysis and Biophysics. It is the Ph.D. work that Dr. Abdul Majid completed under the supervision of Dr. Sultan Sial.

About this title

About the Author

A Ph.D. in Applied Mathematics from Lahore University of Management Sciences(LUMS), Pakistan. He completed his M.Sc. in Pure Mathematics from KU Karachi and is currently working as an Assistant Professor in the Institute of Business Administration(IBA) Karachi, Pakistan. He has been a Research Associate at the Mathematics Dept. at LUMS.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• ISBN 10: 3659169404
• ISBN 13: 9783659169403
• Binding: Paperback
• Language: English
• Number of pages: 144