Civil Engineering Analysis Civil Engineering Analysis

文字サイズ小中大

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: 2012年10月8日

講義資料更新日: 2012年9月21日

学期: 後期

概要

講義概要

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, in connection with FEM. Then the fundamentals and formulations of boundary element method are described. Finally mathematical basis and formulation of inverse problems are lectured.

講義の目的

To understand fundamentals of numerical analysis including FEM and BEM.

講義計画

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

教科書・参考書等

Lecture materials will be distributed by the lecturer.

成績評価

Homework(40%) and examination(60%)