Description
Written in easy to understand language, this self-explanatory guide introduces the fundamentals of finite element methods and its application to differential equations. Beginning with a brief introduction to Sobolev spaces and elliptic scalar problems, the text progresses through an explanation of finite element spaces and estimates for the interpolation error. The concepts of finite element methods for parabolic scalar parabolic problems, object-oriented finite element algorithms, efficient implementation techniques, and high dimensional parabolic problems are presented in different chapters. Recent advances in finite element methods, including non-conforming finite elements for boundary value problems of higher order and approaches for solving differential equations in high dimensional domains are explained for the benefit of the reader. Numerous solved examples and mathematical theorems are interspersed throughout the text for enhanced learning.
An easy-to-understand guide covering the key principles of finite element methods and its applications to differential equations.
About the Author
Sashikumaar Ganesan obtained his Ph.D. from Otto-von-Guericke-Universitat Magdeburg, Germany 2006. He was Postdoctoral Fellow at Otto-von-Guericke-Universitat Magdeburg, Germany (2006-08) and Research Associate (2008-09) at the Imperial College of Science, Technology and Medicine, London. He joined the Indian Institute of Science (IISc), Bangalore as Assistant Professor in 2011. He is currently heading a research group on Numerical Mathematics and Scientific Computing at Supercomputer Education and Research Centre, IISc, Bangalore. His areas of interest include numerical analysis, finite elements in fluid dynamics and high performance computing. Lutz Tobiska is Professor at the Institute for Analysis and Computational Mathematics, Otto-von-Guericke-Universitat Magdeburg, Germany. He received his Ph.D. from the Technische Hochschule Magdeburg in 1977. He has published many articles in international journals. His areas of interest include finite elements in fluid dynamics, parallel algorithms, multigrid methods and adaptive methods for convection diffusion equations.
Reviews
'The book is written in a very traditional and straightforward style of theory and proof. The organization of the material makes it accessible for the reader to gain a foundational understanding of the topics ... This book provides a readable, concise introduction to finite elements. Summing Up: Recommended.' S. L. Sullivan, CHOICE
Book Information
ISBN 9781108415705
Author Sashikumaar Ganesan
Format Hardback
Page Count 216
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 470g
Dimensions(mm) 248mm * 190mm * 15mm
An easy-to-understand guide covering the key principles of finite element methods and its applications to differential equations.
About the Author
Sashikumaar Ganesan obtained his Ph.D. from Otto-von-Guericke-Universitat Magdeburg, Germany 2006. He was Postdoctoral Fellow at Otto-von-Guericke-Universitat Magdeburg, Germany (2006-08) and Research Associate (2008-09) at the Imperial College of Science, Technology and Medicine, London. He joined the Indian Institute of Science (IISc), Bangalore as Assistant Professor in 2011. He is currently heading a research group on Numerical Mathematics and Scientific Computing at Supercomputer Education and Research Centre, IISc, Bangalore. His areas of interest include numerical analysis, finite elements in fluid dynamics and high performance computing. Lutz Tobiska is Professor at the Institute for Analysis and Computational Mathematics, Otto-von-Guericke-Universitat Magdeburg, Germany. He received his Ph.D. from the Technische Hochschule Magdeburg in 1977. He has published many articles in international journals. His areas of interest include finite elements in fluid dynamics, parallel algorithms, multigrid methods and adaptive methods for convection diffusion equations.
Reviews
'The book is written in a very traditional and straightforward style of theory and proof. The organization of the material makes it accessible for the reader to gain a foundational understanding of the topics ... This book provides a readable, concise introduction to finite elements. Summing Up: Recommended.' S. L. Sullivan, CHOICE
Book Information
ISBN 9781108415705
Author Sashikumaar Ganesan
Format Hardback
Page Count 216
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 470g
Dimensions(mm) 248mm * 190mm * 15mm
