Name
Abstract | ||
|---|---|---|
We present a virtual element method for the Reissner-Mindlin plate bending problem which uses shear strain and deflection as discrete variables without the need of any reduction operator. The proposed method is conforming in [H-1(Omega)](2) x H-2(Omega) and has the advantages of using general polygonal meshes and yielding a direct approximation of the shear strains. The rotations are then obtained by a simple post-process from the shear strain and deflection. We prove convergence estimates with involved constants that are uniform in the thickness t of the plate. Finally, we report numerical experiments which allow us to assess the performance of the method. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1090/mcom/3331 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Virtual element method,Reissner-Mindlin plates,error analysis,polygonal meshes | Convergence (routing),Deflection (engineering),Polygon,Shear (sheet metal),Polygon mesh,Mathematical analysis,Shear stress,Operator (computer programming),Mathematics,Bending of plates | Journal |
Volume | Issue | ISSN |
88 | 315 | 0025-5718 |
Citations | PageRank | References |
2 | 0.38 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. Beirão da Veiga | 1 | 223 | 21.23 |
| David Mora | 2 | 34 | 8.92 |
| Gonzalo Rivera | 3 | 3 | 1.41 |