Faculty Advisor

Sarkis-Martins, Marcus

Abstract

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.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2015

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

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