A quasi-local interpolation operator¶preserving the discrete divergence

By Vivette Girault, L. R. Scott. 2003

113 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b5bf18f7132ffb6891a85ca1a0d15558b8cd8f85

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Timo Heister
2. J. Löwe
3. Gert Lube
4. Ricardo H. Nochetto
5. R. Scott
6. Maxim A. Olshanskii
7. Vivette Girault
8. Alexander Linke

In Mechanics of Materials

1. Ricardo H. Nochetto
2. R. Scott
3. Gert Lube
4. Timo Heister
5. Maxim A. Olshanskii
6. Vivette Girault
7. J. Löwe
8. Mary F. Wheeler

In Statistical and Nonlinear Physics

1. Gert Lube
2. Timo Heister
3. J. Löwe
4. R. Scott
5. Ricardo H. Nochetto
6. Maxim A. Olshanskii
7. Vivette Girault

Citations in the corpus

• Maximum-norm stability of the finite element Stokes projection (2005, methodology): “Then, following the argument of [22], we can construct ch(ψ) ∈ Xh(Oi) such that ∫ Oi qhdiv ch(ψ)dx = ∫ Oi qhdiv(ψ − R̄h(ψ))dx ∀qh ∈Mh(Oi) , (6.”
• Grad–div stabilization and subgrid pressure models for the incompressible Navier–Stokes equations (2009, background): “Following [37], we obtain in the first step the stability estimate acðvh; qh; vh; qhÞP 1 2 j½vh; qh j 2 a 8ðvh; qhÞ 2 Vh Qh: ð51Þ Let uJ ¼ Iuu be the interpolant to u in Vh with the divergence-preserving interpolation operator Iu of Girault–Scott [21].”