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Editors contains: "Mengesha, Tadele"

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  1. ; (, The IMA volumes in mathematics and its applications)
    Mengesha, Tadele; Salgado, Abner J. (Ed.)
    In this note, we prove an estimate on the level sets of a function with (𝑝,𝑞) growth that depends on the difference quotient of a bounded weak solution to a nonlocal double-phase equation. This estimate is related to a self-improving property of these solutions. 
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    Full Text Available 
  2. ; (, A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models: Proceedings of the 50th John H. Barrett Memorial Lectures)
    Mengesha, Tadele; Salgado, Abner J (Ed.)
    Inspired by the blending method developed by [P. Seleson, S. Beneddine, and S. Prudhome, A Force-Based Coupling Scheme for Peridynamics and Classical Elasticity, (2013)] for the nonlocal-to-local coupling, we create a symmetric and consistent blended force-based atomistic-to-continuum (a/c) scheme for the atomistic chain in one-dimensional space. The conditions for the well-posedness of the underlying model are established by analyzing an optimal blending size and blending type to ensure the H1{\$$}{\$$}H^1{\$$}{\$$}semi-norm stability for the blended force-based operator. We present several numerical experiments to test and confirm the theoretical findings. 
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    Accepted Manuscript Full Text Available
  3. ; (, A3N2M: Approximation, Applications, and Analysis of Nonlocal, Nonlinear Models: Proceedings of the 50th John H. Barrett Memorial Lectures)
    Mengesha, Tadele; Salgado, Abner J (Ed.)
    Accepted Manuscript Full Text Available