Buch, Englisch, 749 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1308 g
Aubin Nitsche's Duality Process, Nodal Methods and Friedrichs Systems
Buch, Englisch, 749 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1308 g
Reihe: Infosys Science Foundation Series
ISBN: 978-981-97-5709-1
Verlag: Springer Nature Singapore
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
- Naturwissenschaften Chemie Physikalische Chemie Quantenchemie, Theoretische Chemie
Weitere Infos & Material
Chapter 1 Introduction.- Chapter 2 Fundamentals.- Chapter 3 Variational Formulation of Boundary Problems.- Chapter 4 Introduction to Finite Elements.- Chapter 5 Non-conforming Methods.- Chapter 6 Nodal Methods.