The Finite Element Method (FEM) is a scheme that can approximate the solution of boundary value problems. We study the fundamentals of FEM and construct a MATLAB code to approximate the error of the solution for each refinement and compute the rate of convergence of this discretization. Then, we study the article of Bramble and Schatz[2] to construct MATLAB code to approximate better solution by averaging the FEM's solution.

• 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

• Chokchaisiripakdee, Amorn

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-042815-235401

Advisor

• Sarkis-Martins, Marcus

Year

• 2015

Date created

• 2015-04-28

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright