The Least-Squares Finite Element Method
Theory and Applications in Computational Fluid Dynamics and Electromagentics
(Sprache: Englisch)
This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.
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This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.
Klappentext zu „The Least-Squares Finite Element Method “
This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.
Inhaltsverzeichnis zu „The Least-Squares Finite Element Method “
I. The Basic Concept of the LSFEM1. Introduction
2. The first-order Scalar Differential Equation in One-Dimension
3. The First-Order System in One-Dimension
II. Fundamentals of the LSFEM
4. Fundamentals of the LSFEM
5. The Div-Curl System
6. The Div-Curl-Grad System
III. The LSFEM in Fluid Dynamics
7. Inviscid Irrotational Flows
8. Incompressible Viscous Flows
9. Convective Transport
10. Rotational Inviscid Flows
11. Two-face Flows
12. Compressible Viscous Flows
13. High-Speed Compressible Flows
14. P-Version Least-Squares Finite Element Method
IV. The LSFEM in Electromagnetics
15. Electromagnetics
V. Solution of the Discrete Equations
16. Iterative Methods for Solving Linear Systems of Equations
Appendix
A. Operation on Vectors
B. Green's Formula
C. Finite Element Interpolation
D. The Lax-Milgram Theory
- References
- Index
Bibliographische Angaben
- Autor: Bo-nan Jiang
- 1998, 1998, 418 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540639349
- ISBN-13: 9783540639343
- Erscheinungsdatum: 22.06.1998
Sprache:
Englisch
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