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However, a recently proposed modification of the right-hand side alone leads to a discretization that is really locking-free; i.e., its velocity error converges with optimal order and is independent of the pressure and the smallness of the viscosity. In this contribution, we extend this approach to the transient incompressible Stokes equations, where besides the right-hand side also the velocity time derivative requires an improved space discretization. Semidiscrete and fully discrete a priori velocity and pressure error estimates are derived, which show remarkable robustness properties. Two numerical examples illustrate the superior accuracy of pressure-robust space discretizations in the case of small viscosities.<\/jats:p>","DOI":"10.1137\/17m1112017","type":"journal-article","created":{"date-parts":[[2018,1,9]],"date-time":"2018-01-09T12:27:52Z","timestamp":1515500872000},"page":"185-209","source":"Crossref","is-referenced-by-count":14,"title":["On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations"],"prefix":"10.1137","volume":"56","author":[{"given":"Naveed","family":"Ahmed","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexander","family":"Linke","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christian","family":"Merdon","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,1,9]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1007\/s10092-016-0194-z"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2016.09.026"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/BF02576171"},{"key":"atypb4","first-page":"28","volume-title":"IMACS","author":"Arnold D. 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