An improved local radial basis function collocation method based on the domain decomposition for composite wall

In this study, the idea of the domain decomposition is applied to further enhance the computational efficiency of the local radial basis function collocation method (LRBFCM). Unlike the traditional LRBFCM, the computational domain is decomposed into small unit square domains. Then the LRBFCM is further applied to each unit square domain, and the whole computational domain is later analyzed by considering interface conditions. The direct method is proposed to deal with the instability caused by the derivative calculation at the interface. Then the proposed LRBFCM is further extended to the composite walls. Different cases are carried out to test the efficiency of the proposed method. The accuracy of the numerical results is validated by comparing with the finite element method (FEM).