## Abstract For the Poisson equation on rectangular and brick meshes it is well known that the piecewise linear conforming finite element solution approximates the interpolant to a higher order than the solution itself. In this article, this type of supercloseness property is established for a spec
Solutions of 3D Navier–Stokes benchmark problems with adaptive finite elements
✍ Scribed by M. Braack; T. Richter
- Book ID
- 108101329
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 350 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0045-7930
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## Abstract This paper presents a numerical study of the 3D flow around a cylinder which was defined as a benchmark problem for the steady state Navier–Stokes equations within the DFG high‐priority research program __flow simulation with high‐performance computers__ by Schafer and Turek (Vol. 52, V
A three-field finite element scheme for the explicit iterative solution of the stationary incompressible Navier-Stokes equations is studied. In linearized form the scheme is associated with a generalized time-dependent Stokes system discretized in time. The resulting system of equations allows for a