A general discontinuous Galerkin method for finite hyperelasticity. Formulation and numerical applications
By Ludovic Noels, Raúl A. Radovitzky. 2006
123 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/33ffb8a1c36ee410a242bbfcb58dabc95633d502
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Biomedical Engineering
- Bernardo Cockburn
- Henry K. Stolarski
- Ludovic Noels
- Raúl A. Radovitzky
- Guosheng Fu
- A. Seagraves
- Michael R. Tupek
In Computational Mechanics
- Henry K. Stolarski
- Ludovic Noels
- Raúl A. Radovitzky
- Guosheng Fu
- Bernardo Cockburn
- Michael R. Tupek
- A. Seagraves
- Chi-Wang Shu
In Mechanics of Materials
- Henry K. Stolarski
- Bernardo Cockburn
- Ludovic Noels
- Raúl A. Radovitzky
- Guosheng Fu
- Michael R. Tupek
- A. Seagraves
Citations in the corpus
- A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, Cohesive Element Method (2011, methodology): “Toward this end, we propose a new method based on a discontinuous Galerkin (DG) reformulation of the continuum problem following (34; 35).”
- 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”
- A new discontinuous Galerkin method for Kirchhoff–Love shells (2008, methodology): “a common approximation [1,3,23] that reduces the dependency of ρhαβ inside an element Ae to its direct neighbors is ρhαβ = φ0,α ·∆t (uh),β + uh,α · t0,β + ∑ s∈∂Ae r αβ (J∆tK) in Ae , (65)”
- An explicit discontinuous Galerkin method for non‐linear solid dynamics: Formulation, parallel implementation and scalability properties (2008, unknown): “As explained in [9, 22] for the case of non-linear elastostatics, the formulation could be extended to a symmetric method by adding the symmetrization term J K to the interface terms of Eq.”