Problems in Finite Element Methods: Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems (Infosys Science Foundation Series) - Softcover

Jeribi, Aref

Softcover

ISBN 10: 9819757126 ISBN 13: 9789819757121

Publisher: Springer, 2025

Synopsis

This book discusses major topics and problems in finite element methods. It is targeted to graduate students and researchers in applied mathematics, physics, and engineering, wishing to learn and familiarize themselves with finite element theory. The book describes the nodal method for squares or rectangles and triangles, as well as an increase of the error between exact solution and approximate solution. It discusses an approximation of positive symmetric first-order systems in the Friedrichs sense by finite element methods. In addition, the book also explains the continuous and discontinuous approximation methods, adapted to the structure of the transport equation, leading to linear systems of quasi-explicit resolution, and therefore commonly used in practice.

About this title

About the Author

Aref Jeribi is Professor in the Department of Mathematics and Statistics, College of science, Imam Mohammad Ibn Saud Islamic, Riyadh, Saudi Arabia, and in the Department of Mathematics, University of Sfax, Sfax, Tunisia. He completed his Habilitation of Mathematics and Applications at the University of Sfax, Tunisia, in 2002, and defended his Ph.D. thesis at the University of Corsica Pasquale Paoli, France, in 1998. His research interests include spectral theory, matrix operators, transport theory, Gribov operator, Bargmann space, fixed-point theory, Riesz basis and linear relations.

From the Back Cover

This book discusses major topics and problems in finite element methods. It is targeted to graduate students and researchers in applied mathematics, physics, and engineering, wishing to learn and familiarize themselves with finite element theory. The book describes the nodal method for squares or rectangles and triangles, as well as an increase of the error between exact solution and approximate solution. It discusses an approximation of positive symmetric first-order systems in the Friedrichs sense by finite element methods. In addition, the book also explains the continuous and discontinuous approximation methods, adapted to the structure of the transport equation, leading to linear systems of quasi-explicit resolution, and therefore commonly used in practice.

Edition details

• Publisher: Springer
• Publication date: 2025
• Language: English
• ISBN 10: 9819757126
• ISBN 13: 9789819757121
• Binding: Paperback
• Number of pages: 768