Civil Engineering Analysis

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Lecturer
Hirose Sohichi 
Place
Mon3-4(M112)  
Credits
Lecture2  Exercise0  Experiment0
Code
61013
Syllabus updated
2010/10/3
Lecture notes updated
2011/1/23
Semester
Fall Semester

Outline of lecture

Presented in this lecture are fundamentals of numerical analysis including FEM and BEM. In the first part of the lectures, variational methods and weighted residual methods are explained. Then the fundamentals and formulations of boundary element method are described.

Purpose of lecture

To understand fundamentals of numerical analysis including FEM and BEM.

Plan of lecture

1. Introductionシ憩xamples of stationary problems
2. Variational method - 1D problems
3. Variational method - 2D,3D problems
4. Variational method - boundary conditions, the second variation
5. Variational method - Lagrange's multiplier, Ritz's method
6. Variational method - linear elasticity problems and other problems
7. Weighted residual methods
8. Finite element method - fundamentals on FEM and examples
9. Finite element method - numerical schemes
10. Midterm Examination
11. Boundary element method - 1D problems
12. Boundary element method - fundamentals for 2D, 3D problems
13. Boundary element method - BEM formulation of 2D, 3D problems
14. Boundary element method - numerical implementation
15. Final Examination

Textbook and reference

Lecture materials will be distributed by the lecturer.

Related and/or prerequisite courses

Advanced numerical analyais II (related subject)

Evaluation

Homework(20%) and examination(80%)

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