Abdulle, AssyrLin, PingShapeev, Alexander2012-11-072012-11-072012-11-07201310.1137/120894300https://infoscience.epfl.ch/handle/20.500.14299/86688WOS:000323892000022In this paper we derive regularity results for equilibria of multilattices under an external force and prove a priori and a posteriori error estimates for a multiscale numerical method for computing such equilibria. The estimates are derived in a W-1,W-infinity norm in one space dimension. One of the features of our analysis is that we establish an equivalent way of formulating the coarse-grained problem which greatly simplifies derivation of the error bounds (both a priori and a posteriori). We illustrate our error estimates with numerical experiments.a priori and a posteriori analysismultilatticequasicontinuum methodmultiscale methodtext::journal::journal article::research article