A PRIORI AND A POSTERIORI ANALYSIS OF THE QUASINONLOCAL QUASICONTINUUM METHOD IN 1D

作者：Ortner Christoph^*

来源：Mathematics of Computation, 2011, 80(275): 1265-1285.

DOI：10.1090/S0025-5718-2010-02453-6

• Quasicontinuum method
• quasinonlocal coupling
• finite deformations
• sharp stability
• error analysis

For a next-nearest neighbour pair interaction model in a periodic domain, a priori and a posteriori analyses of the quasinonlocal quasicontinuum method (QNL-QC) are presented. The results are valid for large deformations and essentially guarantee a one-to-one correspondence between atomistic solutions and QNL-QC solutions. The analysis is based on consistency error estimates in negative norms, novel a priori and a posteriori stability estimates, and a quantitative inverse function theorem.

• 出版日期2011-7