The Least-squares finite element method : theory and applications in computational fluid dynamics and electromagnetics
著者
書誌事項
The Least-squares finite element method : theory and applications in computational fluid dynamics and electromagnetics
（Scientific computation）
Springer, c1998
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注記
Includes bibliographical references (p. [399]-412) and index
内容説明・目次
内容説明
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.
目次
I. Basic Concepts of the LSFEM.- 1. Introduction.- 2. First-Order Scalar Equation in One Dimension.- 3. First-Order System in One Dimension.- II. Fundamentals of LSFEM.- 4. Basis of 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. Incompressible Inviscid Rotational Flow. 11. Low-Speed Compressible Viscous Flows.- 12. Two-Fluid Flows.- 13. High-Speed Compressible Flows.- IV. The LSFEM in Electromagnetics.- 14. Electromagnetics.- V. Solution of Discrete Equations.- 15. The Element-by-Element Conjugate Gradient Method.- Appendices: A. Operations on Vectors.- B. Green's Formula.- C. Poincare Inequality.- D. The Lax--Milgram Theory.- References.- Index.
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