內容簡介
還兼重在工程設計和分析中的套用算法效率、程式開發和較難的收斂問題。目次：基本概念；Sobolev空間；橢圓邊界值問題變分公式；有限元空間結構；Sobolev空間中的多項式近似理論．n維變分問題；有限元多柵法；加性Schwarz預條件； 極大範數估計；自適應格線； 變分病態、在平面彈性力學中的套用；混合法；疊代技巧用於混合法；運算元插值理論的套用。
《有限元方法的數學理論(第2版)》適合數學、物理和工程專業的研究生和技術人員。
目錄
1. Sirovich: Introduction to Applied Mathematics.
2. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd ed.
3. Hale/Koeak: Dynamics and Bifurcations.
4. Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics, 3rd ed.
5. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations.
6. Sontag: Mathematical Control Theory: Deterministic Finite Dimensional Systems,2nd ed.
7. Perko: Differential Equations and Dynamical Systems, 3rd ed.
8. Seaborn: Hypergeometric Functions and Their Applications.
9. Pipkin: A Course on Integral Equations.
10. Hoppensteadt/Peskin: Modeling and Simulation in Medicine and the Life Sciences, 2nd ed.
11. Braun." Differential Equations and Their Applicationsl 4th ed.
12. Stoer/Bulirsch: Introduction to Numerical Analysis, 3rd ed.
13. Renardy/Rogers: An Introduction to Partial Differential Equations, 2nd ed.
14. Banks: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications.
15. Brenner/Scott: The Mathematical Theory of Finite Element Methods, 2nd ed.
16. Van de Velde: Concurrent Scientific Computing.
17. Marsden/Ratiu: Introduction to Mechanics and Symmetry, 2nd ed.
18. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Higher- Dimensional Systems.
19. Kaplan/Glass: Understanding Nonlinear Dynamics.
20. Holmes: Introduction to Perturbation Methods.
21. Curtain/Zwart: An Introduction to Infinite-Dimensional Linear Systems Theory.
22. Thomas: Numerical Partial Differential Equations: Finite Difference Methods.
23. Taylor: Partial Differential Equations: Basic Theory.
24. Merkin: Introduction to the Theory of Stability of Motion.
25. Naber: Topology, Geometry, and Gauge Fields: Foundations.
26. Polderman/Willems." Introduction to Mathematical Systems Theory: A Behavioral Approach.
27. Reddy: Introductory Functional Analysis with Applications to Boundary-Value Problems and Finite Elements.
28. GustafsoMWilcox: Analytical and Computational Methods of Advanced Engineering Mathematics.
29. Tveito/Winther: Introduction to Partial Differential Equations: A Computational Approach.
30. Gasquet/Witomski: Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets.
