Academic Catalog

ES505 VARIATIONAL METHODS IN ENGINEERING

Course Code: 5610505
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Engineering Sciences
Language of Instruction: English
Level of Study: Graduate
Course Coordinator: Prof.Dr. MEHMET ZÜLFÜ AÞIK
Offered Semester: Fall Semesters.

Course Content

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.