Automated higher-order mesh generation in MATLAB on biomaterials

Abstract

We propose a method for automated higher-order triangle and tetrahedral mesh generation in MATLAB on biomaterials. The proposed mesh generator is based on the MATLAB function generate Mesh from the Partial Differential Equation Toolbox. Here, the inputs are STL file and an approximate upper bound on mesh edge length for the geometry under consideration using the higher-order triangle or tetrahedral elements. As, output we get a higher-order triangle or tetrahedral meshes, connectivity matrix, coordinates of the nodes, and boundary nodes. These outputs can be efficiently used for solving any partial differential equations by finite element method which arises in many applications like biomaterials, computational materials science, crystal plasticity, materials engineering, mechanics of materials etc.