The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems

The complex variable reproducing kernel particle method (CVRKPM) for two-dimensional inverse heat conduction problems is presented in this paper. In the CVRKPM, the shape function of a two-dimensional problem is formed with one-dimensional basis function, the Galerkin weak form is employed to obtain the discretized system equation, and the penalty method is used to apply the essential boundary conditions, then the corresponding formulae of the CVRKPM for two-dimensional inverse heat conduction problems are obtained. Numerical examples are given to show that the method in this paper has higher computational accuracy and efficiency compared with the conventional element-free Galerkin (EFG) method and the reproducing kernel particle method (RKPM).