Does someone have a reference for the minimum number of elements (or maximum mesh size) for electromagnetic simulations where a mathematical or numerical explanation is given?
I have found several recommendations but alas no justification:
- For instance, here at least 5 second-order elements per wavelength are recommended.
- On page 190 of "Principles and Techniques of Electromagnetic Compatibility" from Christopolous at least 10 elements per wavelength are recommended.
- On page 269 of "MATLAB-based Finite Element Programming in Electromagnetic Modeling" from Özgün and Kuzouglu at least 20 elements per wavelength are recommended.
- On page 10 of "Transmission Lines in Digital and Analog Electronic Systems" from Paul, it says that a transmission line is short if it is shorter than wavelength/10 because the wave "only" has a phase shift of 36° (that seems a lot to me!)