Bernardi, Christine; Raugel, Geneviève A conforming finite element method for the time-dependent Navier-Stokes equations. (English) Zbl 0578.65122 SIAM J. Numer. Anal. 22, 455-473 (1985). For the Stokes problem with spatial discretization the authors obtain optimal error estimates for velocity and pressure. The results are extended to the Navier-Stokes problem by an implicit function theorem. The results are in 2 or 3 space dimensions and continuous time. Reviewer: J.D.P.Donnelly Cited in 26 Documents MSC: 65Z05 Applications to the sciences 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 76D05 Navier-Stokes equations for incompressible viscous fluids 35Q30 Navier-Stokes equations 76D07 Stokes and related (Oseen, etc.) flows Keywords:time-dependent; finite-element; continuous time; Stokes problem; optimal error estimates PDFBibTeX XMLCite \textit{C. Bernardi} and \textit{G. Raugel}, SIAM J. Numer. Anal. 22, 455--473 (1985; Zbl 0578.65122) Full Text: DOI