MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear Water Bay, Kowloon, Hong Kong SAR Tel: +852-2358-7194, Fax: +852-2358-1543 E-mail: mewye@ust.hk Course Homepage: http://www.me.ust.hk/~mech300h

Numerical Methods – Definition and Advantages Definition: Methods that seek quantitative approximations to the solutions of mathematical problems Advantages:

What is a Numerical Method – An Example

What is a Numerical Method – An Example

What is a Numerical Method – An Example

What is a Numerical Method – An Example

What is a Numerical Method – An Example

What is a Finite Element Method

Discretization 1-D 2-D ?-D 3-D Hybrid

Numerical Interpolation Non-exact Boundary Conditions Approximation Numerical Interpolation Non-exact Boundary Conditions

Applications of Finite Element Methods Structural & Stress Analysis Thermal Analysis Dynamic Analysis Acoustic Analysis Electro-Magnetic Analysis Manufacturing Processes Fluid Dynamics