Name
Abstract | ||
|---|---|---|
The formation of folds and ridges in the elastic deformation of thin elastic sheets is related to certain instabilities in mathematical models derived from continuum mechanics. Their approximation is difficult due to nonuniqueness and localization effects which result from nonlinearities and singular perturbations. Numerical methods for simulating these effects have to be justified without unrealistic assumptions on exact solutions. The paper proposes a convergent finite element discretization of a Foppl-von Karman model and devises an efficient energy decreasing iterative scheme. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M1069791 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
plate bending,finite elements,iterative solution,convergence | Convergence (routing),Discretization,Mathematical optimization,Mathematical analysis,Continuum mechanics,Finite element method,Deformation (engineering),Mathematical model,Numerical analysis,Mathematics,Bending of plates | Journal |
Volume | Issue | ISSN |
55 | 3 | 0036-1429 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sören Bartels | 1 | 355 | 56.90 |