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• W2593233103 abstract "In 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 $W^{1,infty}$ 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." @default.
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• W2593233103 date "2013-01-01" @default.
• W2593233103 modified "2023-09-26" @default.
• W2593233103 title "A Priori and A Posteriori $W^{1,infty}$ Error Analysis of a QC Method for Complex Lattices" @default.
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• W2593233103 doi "https://doi.org/10.1137/120894300" @default.
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