A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods

Details A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods

2010-12-29

arxiv.org/abs/1012.6031v5

Mathematics

Numerical Analysis

25 pages, 9 figures, improved exposition, fixed typos

Scientific paper

We give computational results to study the accuracy of several quasicontinuum methods for two benchmark problems - the stability of a Lomer dislocation pair under shear and the stability of a lattice to plastic slip under tensile loading. We find that our theoretical analysis of the accuracy near instabilities for one-dimensional model problems can successfully explain most of the computational results for these multi-dimensional benchmark problems. However, we also observe some clear discrepancies, which suggest the need for additional theoretical analysis and benchmark problems to more thoroughly understand the accuracy of quasicontinuum methods.

Affiliated with

Also associated with

No associations

Rating

A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-399949