A. Shapeev

activity

20092025

most citedMoment Tensor Potentials: a class of systematically improvable interatomic potentials

1.6k citations · 6.4k across the 65 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.NA2012

A priori and a posteriori $W^{1, \infty}$ error analysis of a QC method for complex lattices

Assyr Abdulle, Ping Lin, Alexander V. Shapeev

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 esti…

math.NA2012★ 20 cited

Interpolants of Lattice Functions for the Analysis of Atomistic/Continuum Multiscale Methods

C. Ortner, A. V. Shapeev

We introduce a general class of (quasi-)interpolants of functions defined on a Bravais lattice, and establish several technical results for these interpolants that are crucial ingr…

A priori and a posteriori W1,∞ error analysis of a QC method for complex lattices

Interpolants of Lattice Functions for the Analysis of Atomistic/Continuum Multiscale Methods

A priori and a posteriori $W^{1, \infty}$ error analysis of a QC method for complex lattices