Name
Title | ||
|---|---|---|
Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity. |
Abstract | ||
|---|---|---|
In this paper we present a discontinuous Galerkin method applied to incompressible nonlinear elastostatics in a total Lagrangian deformation-pressure formulation, for which a suitable interior penalty stabilization is applied. We prove that the proposed discrete formulation for the linearized problem is well-posed, asymptotically consistent and that it converges to the corresponding weak solution. The derived convergence rates are optimal and further confirmed by a set of numerical examples in two and three spatial dimensions. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s10444-012-9286-8 | Adv. Comput. Math. |
Keywords | Field | DocType |
Nonlinear elasticity,Discontinuous Galerkin formulation,Incompressible material,Edge-based stabilization,65N30,65N12,74B20 | Compressibility,Discontinuous Galerkin method,Nonlinear elasticity,Convergence (routing),Mathematical optimization,Nonlinear system,Lagrangian,Mathematical analysis,Galerkin method,Weak solution,Mathematics | Journal |
Volume | Issue | ISSN |
39 | 2 | 1019-7168 |
Citations | PageRank | References |
3 | 0.46 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Davide Baroli | 1 | 3 | 0.46 |
| Alfio Quarteroni | 2 | 341 | 44.82 |
| Ricardo Ruiz-Baier | 3 | 77 | 13.60 |