You better check the voltage & amps coming from your power supply to the tablet.
Alternately, this could be the result of failing electronics (the wee bms it has). Some of these batteries have the BMS board attached to them, for others they are separate daughter board. Samsung has used both types in their devices, I dunno about the Galaxy Tab. Simple enough to know, if the battery has a small electronics board on it, that is it's BMS. BEWARE OF KNOCK OFFS ! LiPoly is good generally and I think Samsung uses SK cells.