HP DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE STOKES PROBLEM

By Andrea Toselli. 2002

90 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/71113a7b520b5c6276d6ead202ebfbdb4b5ca0ba

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. Dominik Schötzau
2. Guido Kanschat
3. Bernardo Cockburn
4. Antonio Huerta
5. S. Fernández‐Méndez
6. Herbert Egger
7. Christian Waluga
8. Chi-Wang Shu

In Electrical and Electronic Engineering

1. Antonio Huerta
2. Dominik Schötzau
3. Herbert Egger
4. S. Fernández‐Méndez
5. Christian Waluga
6. Guido Kanschat
7. Bernardo Cockburn
8. Adeline Montlaur

Citations in the corpus

• Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations (2008, methodology): “It clearly identifies pressure with the Lagrange multiplier that imposes both a weakly solenoidal field inside each element and a continuous normal component along Γ. However, the IPM provides a symmetric bilinear form for the velocity, see equation (11a), whereas the formulation proposed in [ 7 ] d”
• hp analysis of a hybrid DG method for Stokes flow (2013, methodology): “Let us mention [61] and [57], where similar hp stability estimates for related DG methods on quadrilateral and hexahedral meshes were derived with different arguments.”
• A locally conservative LDG method for the incompressible Navier-Stokes equations (2004, methodology): “Extensions of this result to the hp-version of the finite element method and to quadrilateral meshes can be found in [23, 19].”