Error visualization of tetrahedral subdivision approach for trilinear interpolation

A linear interpolation scheme inside a tetrahedral cell often causes a large interpolation error when field values change drastically. However, the error has not been analysed and visualized thoroughly In order to understand the error distribution inside a tetrahedral cell, we propose two types of error norms, which are both an interpolation function error norm and a field data error norm. These error norms make it possible to compare the linear interpolation function with a trilinear interpolation function that has often been used in rectilinear grid cell, and visualize the error distribution by using iso-surface display.