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GiD can be accelerated by any 3D graphics card that supports OpenGL.
Depending on the version of the graphics driver, some OpenGL implementation problems may arise with GiD. There is an option to use GiD without graphic acceleration, i.e. using the CPU to render the 3D model. Check the 'OpenGL options' in the Utilities --> Preferences --> Graphical --> System panel, and the 'Repair GiD' option in the MS Windows start menu, in Linux menu (or de gidx / gid_safe_mode.sh commands) or in macOS the /Applications/GiD-XXX/Contents/MacOS/GiD_Safe_Mode command .
In general NVIDIA graphic cards are a good option.