full-wave analysis
Hi,
A simple explanation that facilitates the understanding is: full wave analysis is to solve the complete set of Maxwells equations without any simplifying assumptions. Usually the fields described by the equations are time-variant/frequency-dependent. Compared to full wave analysis are some methods such as Quasi-static analysis, where the Maxwell's equations are simplified first(the fields are assumed time-invariant/frequency-independent).
Full-wave analysis is often used to analyze electrically-large structures(physical size is much much larger compared to wavelength), in other words, doing high frequency analysis. Some famous full-wave solvers are: Ansoft HFSS, CST Microwave Studio
Quasi-static analysis is suitable for electrically small structures(usually phsical size is assumed to be less than 1/10 wavelength or 1/6 wavelength or... depends on applications as can be seen from a lot of text books). One of the most famous solver is: Ansoft SpiceLink which is also known as Q2D/Q3D
Hope this helps.
Best regards,