ENGLISH

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

By Aref Jeribi

Book information

Publisher
Springer
Year
2024
ISBN
9819757096, 9789819757091
Language
english
Format
PDF
Filesize
12 MB (12719756 bytes)
Edition
2024
Pages
768\766
Time added
2025-01-27 10:19:22

Description

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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