Name
Abstract | ||
|---|---|---|
The numerical solution of nonlocal constrained value problems with integrable kernels is considered. These nonlocal problems arise in nonlocal mechanics and nonlocal diffusion. The structure of the true solution to the problem is analyzed first. The analysis leads naturally to a new kind of discontinuous Galerkin method that can more efficiently solve the problem numerically. The new method is shown to be asymptotically compatible. Moreover, it has optimal convergence rate for any dimensional case under mild assumptions. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10915-019-01006-0 | Journal of Scientific Computing |
Keywords | Field | DocType |
Nonlocal diffusion, Peridynamic model, Nonlocal model, Integrable kernel, Discontinuous Galerkin, Finite element, Convergence analysis, Condition number, 82C21, 65R20, 74S05, 46N20, 45A05 | Discontinuous Galerkin method,Integrable system,Mathematical analysis,Rate of convergence,Mathematics | Journal |
Volume | Issue | ISSN |
80 | 3 | 0885-7474 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qiang Du | 1 | 1692 | 188.27 |
| Xiaobo Yin | 2 | 0 | 0.34 |