Figure 2 - uploaded by Julian Roth

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In this work, the dual-weighted residual method is applied to a space-time formulation of nonstationary Stokes and Navier-Stokes flow. Tensor-product space-time finite elements are being used to discretize the variational formulation with discontinuous Galerkin finite elements in time and inf-sup stable Taylor-Hood finite element pairs in space. To...

## Contexts in source publication

**Context 1**

... at the streamlines, we observe a corner vortex in the lower left corner after the step. In Figure 12, we plot the snapshot of the vorticity magnitude of the primal backward-facing step problem at time t ≈ 4. It can be seen that the vorticity magnitude is largest at the reentrant corner x = (0, 1 2 ). In Figure 13, we display a 4 times adaptively refined grid with divergence-free L 2 projection. ...

**Context 2**

... at the streamlines, we observe a corner vortex in the lower left corner after the step. In Figure 12, we plot the snapshot of the vorticity magnitude of the primal backward-facing step problem at time t ≈ 4. It can be seen that the vorticity magnitude is largest at the reentrant corner x = (0, 1 2 ). In Figure 13, we display a 4 times adaptively refined grid with divergence-free L 2 projection. ...