Problems in Finite Element Methods : Aubin Nitsche's Duality Process, Nodal Methods and Friedrichs Systems

Aref Jeribi

ISBN 10: 9819757096 / ISBN 13: 9789819757091

Editore: Springer Nature Singapore, Springer Nature Singapore, 2024

Riguardo questo articolo

Druck auf Anfrage Neuware - Printed after ordering - 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.

Codice articolo 9789819757091

Dati bibliografici

• Titolo: Problems in Finite Element Methods : Aubin Nitsche's Duality Process, Nodal Methods and Friedrichs Systems
• Editore: Springer Nature Singapore, Springer Nature Singapore
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 9819757096
• ISBN 13: 9789819757091
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Aref Jeribi is a professor at the Department of Mathematics, University of 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.

He is an author/co-author of nine books, as well as 215 research articles published in reputed journals and conference proceedings.