In this paper, we extend the idea of “geometric reconstruction” to couple a nonlocal diffusion
model directly with the classical local diffusion in one dimensional space. This new coupling …

We develop and analyze a framework for consistent QM/MM (quantum/classic) hybrid
models of crystalline defects, which admits general atomistic interactions including …

We present an efficient a posteriori error control strategy for an energy-based concurrent
multiscale method with sharp interface in molecular mechanics, namely the geometric …

We combine the ideas of atomistic/continuum energy blending and ghost force correction to
obtain an energy-based atomistic/continuum coupling scheme which has, for a range of …

The lattice Green's function method (LGFM) is the discrete counterpart of the continuum
boundary element method and is a natural approach for solving intrinsically discrete solid …

In this work, we propose a novel energy-based multivariate coupling method for
peridynamics and classical continuum mechanics (CCM) models to fully take advantage of …

This paper introduces the MeshAC package, which generates three-dimensional adaptive
meshes tailored for the efficient and robust implementation of multiscale coupling methods …

Multiscale coupling methods are significant methodologies for the modeling and simulation
of materials with defects, intending to achieve the (quasi-) optimal balance of accuracy and …

Flexible harmonic boundary conditions have been proposed by Sinclair in the 1970s in
order to overcome spurious effects on atomistic problems due to fixed boundaries. To date …

Atomistic/continuum coupling methods aim to achieve optimal balance between accuracy
and efficiency. Adaptivity is the key for the efficient implementation of such methods. In this …