1. A laser welding method, the method comprising: providing a storage medium containing stored data about possible welding defects and associated repair welding parameters; welding a workpiece with a laser to produce weldings on the workpiece; monitoring the produced weldings for defective weldings; and, in response to detecting a defective welding from among the monitored weldings: comparing the defective welding with the stored data about possible welding defects; selecting repair welding parameters from among the associated repair welding parameters based on the comparison; and then performing a repair welding in a region of the detected defective welding in accordance with the selected repair welding parameters.