Force-based atomistic/continuum blending for multilattices

Analysis of Boundary Conditions for Crystal Defect Atomistic Simulations

(2016) V. Ehrlacher et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Analysis of an optimization-based atomistic-to-continuum coupling method for point defects

(2015) Derek Olson et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

CONCURRENT COUPLING OF BOND-BASED PERIDYNAMICS AND THE NAVIER EQUATION OF CLASSICAL ELASTICITY BY BLENDING

(2015) Pablo Seleson et al.   International Journal for Multiscale Computational Engineering

Analysis of blended atomistic/continuum hybrid methods

(2015) Xingjie Helen Li et al.   NUMERISCHE MATHEMATIK

Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model

(2015) T. Hudson et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Stability Of A Force-Based Hybrid Method With Planar Sharp Interface

(2014) Jianfeng Lu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Theory-based benchmarking of the blended force-based quasicontinuum method

(2013) Xingjie Helen Li et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Symmetries of 2-Lattices and Second Order Accuracy of the Cauchy--Born Model

(2013) Brian Van Koten et al.   MULTISCALE MODELING & SIMULATION

A Priori and A Posteriori $W^{1,\infty}$ Error Analysis of a QC Method for Complex Lattices

(2013) Assyr Abdulle et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Atomistic-to-continuum coupling

(2013) Mitchell Luskin et al.   ACTA NUMERICA

Justification of the Cauchy–Born Approximation of Elastodynamics

(2012) C. Ortner et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Convergence of a Force-Based Hybrid Method in Three Dimensions

(2012) Jianfeng Lu et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

A force-based coupling scheme for peridynamics and classical elasticity

(2012) Pablo Seleson et al.   COMPUTATIONAL MATERIALS SCIENCE

Formulation and optimization of the energy-based blended quasicontinuum method

(2012) M. Luskin et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Numerical Methods for Multilattices

(2012) Assyr Abdulle et al.   MULTISCALE MODELING & SIMULATION

Positive Definiteness of the Blended Force-Based Quasicontinuum Method

(2012) Xingjie Helen Li et al.   MULTISCALE MODELING & SIMULATION

Consistent Energy-Based Atomistic/Continuum Coupling for Two-Body Potentials in Three Dimensions

(2012) Alexander V. Shapeev   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Consistent Energy-Based Atomistic/Continuum Coupling for Two-Body Potentials in One and Two Dimensions

(2011) Alexander V. Shapeev   MULTISCALE MODELING & SIMULATION

Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation

(2010) M. Dobson et al.   MULTISCALE MODELING & SIMULATION

A unified framework and performance benchmark of fourteen multiscale atomistic/continuum coupling methods

(2009) Ronald E Miller et al.   MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

A Posteriori Existence in Numerical Computations

(2009) C. Ortner   SIAM JOURNAL ON NUMERICAL ANALYSIS

On the application of the Arlequin method to the coupling of particle and continuum models

(2008) Paul T. Bauman et al.   COMPUTATIONAL MECHANICS

Analysis of a force-based quasicontinuum approximation

(2008) Matthew Dobson et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A variational formulation of the quasicontinuum method based on energy sampling in clusters

(2008) Bernhard Eidel et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

On the Cauchy—Born Rule

(2008) J.L. Ericksen   MATHEMATICS AND MECHANICS OF SOLIDS

On Atomistic-to-Continuum Coupling by Blending

(2008) Santiago Badia et al.   MULTISCALE MODELING & SIMULATION