Introduction

MOLE is a high-quality (C++, MATLAB/Octave, and Julia) library that implements high-order mimetic operators to solve partial differential equations. It provides discrete analogs of the most common vector calculus operators: Gradient, Divergence, Laplacian, Bilaplacian, and Curl. These operators (highly sparse matrices) act on staggered grids (uniform, non-uniform, curvilinear) and satisfy local and global conservation laws.

Mathematics is based on the work of Corbino and Castillo. However, the user may find helpful previous publications, such as Castillo and Grone, in which similar operators were derived using a matrix analysis approach.