Faculty Advisor

Sarkis-Martins, Marcus

Faculty Advisor

Vernescu, Bogdan M.

Abstract

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.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2002

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Mathematical Sciences

Advisor Program

Mathematical Sciences

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