A Priori and a Posteriori W 1,∞ Error Analysis of a Qc Method for Complex Lattices
نویسندگان
چکیده
In this paper we prove a priori and a posteriori error estimates for a multiscale numerical method for computing equilibria of multilattices under an external force. The error estimates are derived in a W 1,∞ 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.
منابع مشابه
A priori and posteriori W1,∞ error analysis of a QC method for complex lattices
In this paper we prove a priori and a posteriori error estimates for a multiscale numerical method for computing equilibria of multilattices under an external force. The error estimates are derived in a W 1,∞ 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...
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تاریخ انتشار 2012