MECH300H Introduction to Finite Element Methods

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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 [phone], Fax [phone] E-mai
l mewye_at_ust.hk Course Homepage
http//www.me.ust.hk/mech300h
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Numerical Methods Definition and Advantages

• Definition Methods that seek quantitative
  approximations to the solutions of mathematical
  problems
• Advantages

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What is a Numerical Method An Example
Example 1
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What is a Numerical Method An Example
Example 1
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What is a Numerical Method An Example
Example 2
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What is a Numerical Method An Example
Example 2
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What is a Numerical Method An Example
Example 3
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What is a Finite Element Method

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Discretization
1-D
2-D
3-D
?-D
Hybrid
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Approximation
Numerical Interpolation
Non-exact Boundary Conditions
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Applications of Finite Element Methods

• Structural Stress Analysis
• Thermal Analysis
• Dynamic Analysis
• Acoustic Analysis
• Electro-Magnetic Analysis
• Manufacturing Processes
• Fluid Dynamics