Problems in Finite Element Methods

Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems

von Aref Jeribi

749 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Infosys Science Foundation Series in Mathematical Sciences
• ISBN: 9789819757091
• Sprache: Englisch
• Erscheinungsdatum: 02.11.2024
• Genre: Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
• Verlag: Springer Singapore