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 benchmark problems, the same convergence rates as optimal force-based coupling schemes. We present the construction of this new scheme, numerical results exploring its accuracy in comparison with established schemes, and a rigorous error analysis for an instructive special case
Force-based multiphysics coupling methods have become popular since they provide a simple and effici...
The efficient and accurate simulation of material systems with defects using atomistic- to-continuum...
In this paper we construct energy based numerical methods free of ghost forces in three dimen- siona...
Abstract. We combine the ideas of atomistic/continuum energy blending and ghost force correction to ...
We formulate an atomistic-to-continuum coupling method based on blending atomistic and continuum for...
Abstract. We formulate an atomistic-to-continuum coupling method based on blending atomistic and con...
Abstract. We present a practical implementation of an energy-based atomistic-to-continuum (a/c) coup...
A common observation from an atomistic to continuum coupling method is that the error is often gener...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale schemes that c...
We formulate a patch test consistent atomistic-to-continuum coupling (a/c) scheme that employs a sec...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
We formulate an energy-based atomistic-to-continuum coupling method based on blending the quasiconti...
The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid ...
We formulate the blended force-based quasicontinuum method for multilattices and develop rigorous er...
Force-based multiphysics coupling methods have become popular since they provide a simple and effici...
The efficient and accurate simulation of material systems with defects using atomistic- to-continuum...
In this paper we construct energy based numerical methods free of ghost forces in three dimen- siona...
Abstract. We combine the ideas of atomistic/continuum energy blending and ghost force correction to ...
We formulate an atomistic-to-continuum coupling method based on blending atomistic and continuum for...
Abstract. We formulate an atomistic-to-continuum coupling method based on blending atomistic and con...
Abstract. We present a practical implementation of an energy-based atomistic-to-continuum (a/c) coup...
A common observation from an atomistic to continuum coupling method is that the error is often gener...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
Atomistic-to-continuum (a/c) coupling methods are a class of computational multiscale schemes that c...
We formulate a patch test consistent atomistic-to-continuum coupling (a/c) scheme that employs a sec...
Abstract. We present a comprehensive error analysis of two prototypical atomistic-to-continuum coupl...
We formulate an energy-based atomistic-to-continuum coupling method based on blending the quasiconti...
The force-based quasicontinuum (QCF) approximation is a non-conservative atomistic/continuum hybrid ...
We formulate the blended force-based quasicontinuum method for multilattices and develop rigorous er...
Force-based multiphysics coupling methods have become popular since they provide a simple and effici...
The efficient and accurate simulation of material systems with defects using atomistic- to-continuum...
In this paper we construct energy based numerical methods free of ghost forces in three dimen- siona...