36 citations · 108 across the 13 of their papers we have counts for
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math.NA2013★ 29 cited
Energy-Based Atomistic-to-Continuum Coupling Without Ghost Forces
Christoph Ortner, Lei Zhang
We present a practical implementation of an energy-based atomistic-to-continuum (a/c) coupling scheme without ghost forces, and numerical tests evaluating its accuracy relative to…
math.NA2013★ 6 cited
(In-)Stability and Stabilisation of QNL-Type Atomistic-to-Continuum Coupling Methods
Christoph Ortner, Alexander Shapeev, Lei Zhang
We study the stability of ghost force-free energy-based atomistic-to-continuum coupling methods. In 1D we essentially complete the theory by introducing a universally stable a/c co…