Let $R$ be a regular local complete (with respect to the maximal ideal) ring with field of fraction $K$. Let $S$ be a Noetherian local ring which is an $R$-algebra. 
Is the completed tensor product (https://stacks.math.columbia.edu/tag/0AMU) 
 $S \widehat{\otimes}_R K$ a Noetherian local ring containing  $K$ ?