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Problems in Finite Element Methods : Aubin Nitsche’s Duality Process, Nodal Methods and Friedrichs Systems / by Aref Jeribi.
Springer Nature - Springer Mathematics and Statistics eBooks 2024 English International Available online
View online- Format:
- Book
- Author/Creator:
- Jeribi, Aref.
- Series:
- Infosys Science Foundation Series in Mathematical Sciences, 2364-4044
- Language:
- English
- Subjects (All):
- Numerical analysis.
- Fluid mechanics.
- Differential equations.
- Thermodynamics.
- Heat engineering.
- Heat--Transmission.
- Heat.
- Mass transfer.
- Statistical mechanics.
- Numerical Analysis.
- Engineering Fluid Dynamics.
- Differential Equations.
- Engineering Thermodynamics, Heat and Mass Transfer.
- Statistical Mechanics.
- Local Subjects:
- Numerical Analysis.
- Engineering Fluid Dynamics.
- Differential Equations.
- Engineering Thermodynamics, Heat and Mass Transfer.
- Statistical Mechanics.
- Physical Description:
- 1 online resource (763 pages)
- Edition:
- 1st ed. 2024.
- Place of Publication:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 9789819757107
- 981975710X
- OCLC:
- 1465362626
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