The Application of Wavelets Methods in Stefan Problem | Theory, Method, Simulation

Ping Yin

ISBN 10: 3639714687 / ISBN 13: 9783639714685

Published by Scholars' Press, 2014

About this Item

The Application of Wavelets Methods in Stefan Problem | Theory, Method, Simulation | Ping Yin | Taschenbuch | 136 S. | Englisch | 2014 | Scholars' Press | EAN 9783639714685 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.

Seller Inventory # 105325724

Bibliographic Details

• Title: The Application of Wavelets Methods in Stefan Problem | Theory, Method, Simulation
• Publisher: Scholars' Press
• Publication Date: 2014
• Language: English
• ISBN 10: 3639714687
• ISBN 13: 9783639714685
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 9D millimeters 220 millimeters width by 150 millimeters height by 9 millimeters depth
• Weight: 221 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

This book is devoted to the definition, analysis and implementation of a new numerical algorithm for the approximation of elliptic equations defined on general domains and its application to the problems of Stefan. These problems are used to model the multiphase physical phenomena, such as the melting of ice, dendritic solidification or crystal growth. From the mathematical point of view, the problems of Stefan consist a system of partial differential equations(PDE) governing simultaneously the quantities on an open domain (or a family of open domains) and its boundary (or their boundaries). The method that we will present and analyze is developed to resolve the different disadvantages of existing methods. It is constructed on a level set method for the equation of the boundary and a formulation of fictitious domain method coupled with Lagrange multipliers for the initial PDE. The approximation is mainly based on a method of Petrov-Galerkin with biorthogonal wavelets on the fictitious domain and orthogonal wavelets for the representation of the Lagrange multipliers. This book is targeted to the ones who are interested in the numerical computation of newly developped tool wavelets.

About the Author

Ping Yin is assistant professor in school of science at Jiangnan University, China. Her main research interests include numerical computing, mathematical software, and software verification. She got the Ph.D. degree in applied mathematics from Aix-Marseille University (AMU), France in 2011.