Finite difference approach for concurrent multiscale computations in solids

In this article, we described a finite differenced approach for multiscale computations of solids which was worked out. The major novelties include a finite difference scheme derived by a matching differential operator method, and a velocity interfacial condition across different scales. The interfacial condition is local in time and hence allows to treat solids with relatively strong nonlinearity and large deformation. Numerical results demonstrated the efficiency and accuracy of presented method.