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  1. No Access

    Article

    A Multifidelity Monte Carlo Method for Realistic Computational Budgets

    A method for the multifidelity Monte Carlo (MFMC) estimation of statistical quantities is proposed which is applicable to computational budgets of any size. Based on a sequence of optimization problems each wi...

    Anthony Gruber, Max Gunzburger, Lili Ju, Zhu Wang in Journal of Scientific Computing (2022)

  2. No Access

    Article

    Stationary surfaces with boundaries

    This article investigates stationary surfaces with boundaries, which arise as the critical points of functionals dependent on curvature. Precisely, a generalized “bending energy” functional

    Anthony Gruber, Magdalena Toda, Hung Tran in Annals of Global Analysis and Geometry (2022)

  3. No Access

    Article

    Regarding the Euler–Plateau problem with elastic modulus

    We study equilibrium configurations for the Euler–Plateau energy with elastic modulus, which couples an energy functional of Euler–Plateau type with a total curvature term often present in models for the free ...

    Anthony Gruber, Álvaro Pámpano… in Annali di Matematica Pura ed Applicata (19… (2021)

  4. No Access

    Article

    On the variation of curvature functionals in a space form with application to a generalized Willmore energy

    Functionals involving surface curvature are important across a range of scientific disciplines, and their extrema are representative of physically meaningful objects such as atomic lattices and biomembranes. I...

    Anthony Gruber, Magdalena Toda, Hung Tran in Annals of Global Analysis and Geometry (2019)