2 papers
math.NA2017
Coupling Atomistic, Elasticity and Boundary Element Models
A. S. Dedner, C. Ortner, H. Wu
We formulate a new atomistic/continuum (a/c) coupling scheme that employs the boundary element method (BEM) to obtain an improved far-field boundary condition. We establish sharp e…
math.NA2016
Analysis of patch-test consistent atomistic-to-continuum coupling with higher-order finite elements
A. S. Dedner, C. Ortner, H. Wu
We formulate a patch test consistent atomistic-to-continuum coupling (a/c) scheme that employs a second-order (potentially higher-order) finite element method in the material bulk.…