- 担当教員
- 廣瀬 壮一
- 使用教室
- 月3-4(M112)
- 単位数
- 講義：2 演習：0 実験：0
- 講義コード
- 61013
- シラバス更新日
- 2009年4月23日
- 講義資料更新日
- 2008年10月1日
- 学期
- 後期
講義概要
Presented in this lecture are both forward and inverse analyses for initial and boundary value problems in civil engineering field. In the forward analysis, fundamental formulations of finite element method and boundary element method are explained, and in the inverse analysis, mathematical treatment for linearized inverse problems is presented.
講義の目的
To understand fundamentals of forward and inverse analyses of initial and boundary value problems in civil engineering.
講義計画
1. Introduction ; forward and inverse problems
2. Variational method - stationary problem & basic formula
3. Variational method - examples, Lagrange’s multiplier
4. Variational method ; boundary conditions, Ritz’s method
5. Weighted residual methods
6. Finite element method ; fundamentals on FEM and examples
7. Finite element method ; numerical schemes
8. Boundary element method ; fundamentals on BEM
9. Boundary element method ; formulation of BEM
10.Boundary element method - numerical implementation
11.Linearized inverse problems I
12.Linearized inverse problems II
13.Generalized inverse matrix
14.Instability and regularization of inverse problems
15.Examination
教科書・参考書等
Lecture materials will be distributed by the lecturer.
関連科目・履修の条件等
Advanced numerical analyais II (related subject)
成績評価
Homework(20%) and examination(80%)
