The reproducing kernel particle method for two-dimensional unsteady heat conduction problems
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1-10 |
| Journal / Publication | Computational Mechanics |
| Volume | 45 |
| Issue number | 1 |
| Publication status | Published - Jan 2009 |
Link(s)
Abstract
The numerical solution to two-dimensional unsteady heat conduction problem is obtained using the reproducing kernel particle method (RKPM). A variational method is employed to furnish the discrete equations, and the essential boundary conditions are enforced by the penalty method. Convergence analysis and error estimation are discussed. Compared with the numerical methods based on mesh, the RKPM needs only the scattered nodes instead of meshing the domain of the problem. The effectiveness of the RKPM for two-dimensional unsteady heat conduction problems is examined by two numerical examples. © 2009 Springer-Verlag.
Research Area(s)
- Error estimate, Meshless method, Reproducing kernel particle method, Unsteady heat conduction problem
Citation Format(s)
The reproducing kernel particle method for two-dimensional unsteady heat conduction problems. / Cheng, Rongjun; Liew, K. M.
In: Computational Mechanics, Vol. 45, No. 1, 01.2009, p. 1-10.
In: Computational Mechanics, Vol. 45, No. 1, 01.2009, p. 1-10.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
