Adhesive tape: in the direction of expected stress or perpendicular to it?
Best solution I have seen is to make a recess and drop the mat in the recess.

Allows the mat to be taken out and cleaned, also no sticky residue.



source : https://www.amazon.co.uk/Stainless-Matwell-Entrance-Surround-Insert/dp/B00PK4LNKM