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

Libro 18 de 18: Infosys Science Foundation

Jeribi, Aref

 
9789819757091: Problems in Finite Element Methods: Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems (Infosys Science Foundation Series)
Tapa dura
ISBN 10: 9819757096 ISBN 13: 9789819757091
Editorial: Springer, 2024

Sinopsis

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.

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Acerca del autor

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.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2024
Idioma
Inglés
ISBN 10 
9819757096
ISBN 13 
9789819757091
Encuadernación
Tapa dura
Número de páginas
772
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