iFEM is a MATLAB software package containing robust, efficient, and easy-following codes for the main building blocks of adaptive finite element methods on unstructured simplicial grids in both two and three dimensions. Besides the simplicity and readability, sparse matrixlization, an innovative programming style for MATLAB, is introduced to improve the efficiency. In this novel coding style, the sparse matrix and its operations are used extensively in the data structure and algorithms.
Source: http://www.math.uci.edu/~chenlong/programming.html
FEATool Multiphysics is also a very easy and fully integrated FEM simulation toolbox for Matlab, see http://www.featool.com for more information.
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