This project used finite element method to obtain neutral coated inclusions shapes for a thermal conductivity problem. Such an inclusion when inserted in a homogeneous matrix has the property that it does not disturb the uniform heat flow outside the inclusion. A free-boundary problem was formed and Newton's Method was used to handle the nonlinearity of the system. Dynamic mesh refinements were implemented to increase accuracy in certain areas. Iterations of the method yielded the desired neutrally coated shapes.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Murphy, Ethan K.

Publisher

• Worcester Polytechnic Institute

Identifier

• 02D004M

Advisor

• Vernescu, Bogdan M.
• Sarkis-Martins, Marcus

Year

• 2002

Date created

• 2002-01-01

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright