With the large computing capabilities of today, scientists and engineers are now able to solve finite element problems on a scale that was impossible just a few years ago. These problems, ranging from several hundred thousand elements, to millions of elements are now routinely being solved. With this ability, however, comes a new problem; viewing the 3D finite element mesh on a 2D screen. When the mesh is non-uniform and composed of thousands of elements, humans' perception abilities fail to graspthe complexities and spatial relationships of the elements. We have developed a new computational module for interactively visualizing large-scale 3D unstructured finite element meshes. The program includes two novel real-time interactive methods that overcome the difficulties of visualizing unstructured 3D grids on 2D screens: a clipping ``surface'' utility and a growth algorithm. Used separately or together, these new utilities allow the user to better explore complicated unstructured polygonal domains.