A PRIORI ERROR ESTIMATES FOR ENERGY-BASED QUASICONTINUUM APPROXIMATIONS OF A PERIODIC CHAIN
نویسندگان
چکیده
منابع مشابه
A Priori Error Estimates for Energy-Based Quasicontinuum Approximations of a Periodic Chain
We derive a priori error estimates for three prototypical energy-based quasicontinuum (QC) methods: the local QC method, the energy-based QC method, and the quasinonlocal QC method. Our analysis clearly decomposes the consistency error into modelling and coarsening errors. While previous results on estimating the modelling error exist, we give a new and simpler proof based on negative-norm esti...
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2011
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202511005817