A HYBRID MESHLESS FINITE VOLUME METHOD AND ITS APPLICATION
杂交型无网格有限体积法及其应用

To avoid mesh restriction,the finite volume method(FVM) is combined with the meshless method based on the moving least squares(MLS) approximation.A hybrid meshless finite volume method(MFVM) is presented.Here,"hybrid" has the same meaning as the hybrid finite element.By the hybrid technique,both the displacement and the stress are independently interpolated.In this way,the derivatives of shape functions in integrand on the process of sub-domain integration will disappear.Then,the stress-displacement compatibility is implemented by the collocation method.Essential boundary conditions are imposed using a modified collocation technique.Numerical results in the case studies show that the presented method has higher accuracies and computational efficiencies.