Blended force-based atomistic-continuum coupling method for the model adaptivity of a Frenkel-Kontorova model

Abstract:

We use the blended force-based atomistic-continuum coupling (BQCF) method to solve a Frenkel-Kontorova model and consider its adaptivity problem. We give a posteriori error estimator based on the residual. Then, by using this estimator, we construct a model adaptive algorithm, which adaptively determines the domain decomposition of an atomistic system and characterize the partition of the atomistic domain and the continuous domain. Numerical experiments illustrate the validity of the estimator and algorithm.