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math.NA2025
Higher-Order Boundary Conditions for Atomistic Dislocation Simulations
Xinyi Wei, Julian Braun, Yangshuai Wang +1
We present a higher-order boundary condition for atomistic simulations of dislocations that address the slow convergence of standard supercell methods. The method is based on a mul…
math.NA2025
Numerical Homogenization of Landau-Lifshitz Equation with Rough Coefficients
Zetao Ma, Jingrun Chen, Rui Du +1
In this work, we develop a numerical homogenization approach for the fully nonlinear Landau-Lifshitz equation with rough coefficients, including non-periodicity and nonseparable sc…