# Civil Engineering Analysis

(
Hirose Sohichi
)

Mon 3-4Session M112

Credits Lecture:2 Exercise:0 Experiment:0 / code:61013

Update syllabus：2011/10/15

Update lecture notes : 2012/1/29

Access Index :

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，examples of stationary problems

2. Variational method - 1D problems

3. Variational method - 2D,3D problems, the second variation

4. Variational method - boundary conditions, Lagrange's multiplier

5. Variational method - linear elasticity problems and other problems

6. Variational method - Ritz's method, Weighted residual methods

7. Midterm examination

8. Finite element method - 1D problem

9. Finite element method - 2D, 3D problems

10. Finite element method - numerical schemes & examples

11. Boundary element method - 1D problems

12. Boundary element method - 2D, 3D problems

13. Inverse problem - introduction

14. Inverse problem - math fundamentals and formulation

15. Inverse problem - examples - 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%)