Discontinuous Galerkin methods for incompressible elastic materials

By Bernardo Cockburn, Dominik Schötzau, Jing Wang. 2006

68 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5384280b3c75c691b99cd735d43861f0aa6051c2

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. Bernardo Cockburn
2. Dominik Schötzau
3. Guido Kanschat
4. Henry K. Stolarski
5. Giuseppe Vacca
6. Carlo Lovadina
7. Guosheng Fu
8. See-Chew Soon

In Computational Theory and Mathematics

1. Bernardo Cockburn
2. Guido Kanschat
3. Carlo Lovadina
4. Giuseppe Vacca
5. Henry K. Stolarski
6. Dominik Schötzau
7. L. Beirão da Veiga
8. Guosheng Fu

In Mechanics of Materials

1. Bernardo Cockburn
2. Henry K. Stolarski
3. Carlo Lovadina
4. Giuseppe Vacca
5. Guosheng Fu
6. L. Beirão da Veiga
7. See-Chew Soon
8. Guido Kanschat

Citations in the corpus

• A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier–Stokes Equations (2007, methodology): “The remarks developed in this note for the DG methods developed in [14] for the Navier–Stokes equations also hold for the DG methods developed in [16] for incompressible elastic materials.”
• Analysis of an HDG method for linear elasticity (2015, methodology): “Indeed, in the following few years, DG methods were devised for linear elasticity in 2004 [3], for incompressible and near incompressible elastic materials in 2002 [4] and 2006 [5], for Timoshenko beams in 2006 [6], for fourth-order problems in structural and continuum mechanics in 2002 [7] and 2005”
• Divergence free Virtual Elements for the Stokes problem on polygonal meshes (2015, methodology): “We however remark that, using different discretization methodologies, some divergence-free methods have already proposed in the literature (for instance, see [23,25,28,29,35,36]).”
• A review of unified a posteriori finite element error control (2012, unknown): “Then, with parameters κp, d , β , c1, c2 from [30,32] and [25], L1 = −r [ul] + c1s [ul] ·β and L2 = r [ul] + c2s € d · [ul] +κp[pl] Š”
• A hybridizable discontinuous Galerkin method for linear elasticity (2009, methodology): “In particular, the development of the DG methods for elliptic problems includes the unifying analysis of DG methods for second-order problems [7], the introduction of DG methods for linear elasticity [8], for incompressible and near incompressible elastic materials [9, 10], for Timoshenko beams [11]”