Digital Twins

Digital Twins are one of the hottest digital trends. In this contribution we review the concept of Digital Twins and the chances for novel industrial applications. Mathematics are a key enabler and the impact will be highlighted along four specific examples addressing Digital Product Twins democratizing Design, Digital Production Twins enabling robots to mill, Digital Production Twins driving industrialization of additive manufacturing, and Digital Performance Twins boosting operations. We conclude the article with an outlook on the next wave of Digital Twins, Executable Digital Twins, and will review the associated challenges and opportunities for mathematics.