This simulation engine uses the finite element method on a domain mesh with triangles and/or quadrilaterals to solve equations commonly encountered in Engineering Sciences: heat flow, wave propagation, vibrations, fluid mechanics, hydrology, and solid mechanics. The engine coded in C using matrix solver libraries with the mesh domain solution visualized in MATLAB is compatible with a general boundary value problem for elliptical and parabolic PDEs. The examples, product website, and GitHub attached show the breadth of applications I simulated.