The reproducing kernel particle method for two-dimensional unsteady heat conduction problems

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Original languageEnglish
Pages (from-to)1-10
Journal / PublicationComputational Mechanics
Issue number1
Publication statusPublished - Jan 2009


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