COMPUTATIONAL MECHANICS;

OPTIMIZATION: MAXIMIZATION AND MINIMIZATION

ES 505

VARIATIONAL METHODS IN ENGINEERING

Problems of minimization and maximization. Functionals. Classical problems in calculus of variations, Euler equations, Variational notation, Natural boundary conditions, Hamilton's principle, Lagrange equations. Transformation of boundary value problems into the problem of calculus of variation. Direct methods; Ritz method, Galerkin method, Kantorovich method, Weighted residual method. (Applications on Fluids, Solids and Structural Engineering problems.)

This course is a fundamental course for the numerical methods in computational mechanics, such as Finite Element Method.

FIRST MEETING:

On Thursday, 27.09.2012, at 13:40

Meeting Room: MM 321.

Contact: Zülfü Aşık

Department of Engineering Sciences, Office:  MM903, Phone: 2390

e-mail:         azulfu@rmetu.edu.tr

URL: http://www.metu.edu.tr/~azulfu