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- W155691840 abstract ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i Dedication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v 1 Mathematical Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Function Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Variational Form of Differential Equations . . . . . . . . . . . . . . 4 1.3 Key Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2 Finite Element Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.1 Definition and Construction of Finite Elements . . . . . . . . . . . 11 2.2 Key Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3 Error of the Finite Element Method . . . . . . . . . . . . . . . . . . . . . 15 3.1 Key Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 4 Worked Examples and Applications . . . . . . . . . . . . . . . . . . . . . 19 4.1 Worked Examples with MATLAB Approximation . . . . . . . . . . 19 4.2 Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Vita . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32" @default.
- W155691840 created "2016-06-24" @default.
- W155691840 creator A5021398666 @default.
- W155691840 date "2011-01-01" @default.
- W155691840 modified "2023-09-24" @default.
- W155691840 title "Finite Element Analysis: Mathematical Theory and Applications" @default.
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