Name
Title | ||
|---|---|---|
A locking-free finite difference method on staggered grids for linear elasticity problems. |
Abstract | ||
|---|---|---|
A finite difference method on staggered grids is constructed on general nonuniform rectangular partition for linear elasticity problems. Stability, optimal-order error estimates in discrete H1-norms on general nonuniform grids and second-order superconvergence on almost uniform grids have been obtained. These theoretical results are uniform about the Lamé constant λ∈(0,∞) so the finite difference method is locking-free. The method and theoretical results can be extended to three dimensional problems. Numerical experiments using the method show agreement of the numerical results with theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.camwa.2018.06.023 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Linear elasticity,Locking-free,Staggered grids,Finite difference,Convergence and superconvergence | Mathematical analysis,Superconvergence,Finite difference method,Linear elasticity,Partition (number theory),Mathematics | Journal |
Volume | Issue | ISSN |
76 | 6 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hongxing Rui | 1 | 199 | 37.20 |
| Ming Sun | 2 | 91 | 16.25 |