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  1. An Operator-Splitting Optimization Approach for Phase-Field Simulation of Equilibrium Shapes of Crystals

    In this paper, we propose a new numerical method based on the Davis–Yin splitting (DYS) optimization algorithm to predict the ESCs instead of using gradient flow approaches.

  2. [2311.02955v1] An operator-splitting optimization approach for phase-field simulation of equilibrium shapes of crystals

    Nov 6, 2023 · In this paper, we propose a new numerical method based on the Davis-Yin splitting (DYS) optimization algorithm to predict the ESC instead of using gradient flow approaches.

  3. An Operator-Splitting Optimization Approach for Phase-Field Simulation of Equilibrium Shapes of Crystals

    Jun 5, 2024 · In this paper, we propose a new numerical method based on the Davis–Yin splitting (DYS) optimization algorithm to predict the ESCs instead of using gradient flow approaches.

  4. AI Summary: An operator-splitting optimization approach for phase-field simulation of equilibrium shapes of crystals

    This paper develops a numerical optimization method to compute equilibrium crystal shapes under anisotropic surface energies. It formulates the problem as minimizing an orientation-dependent …

  5. In this talk, we propose an optimization base approach to minimize the discretized non-regularized phase-field functional under the constraints of mass conservation and bound preservation.

  6. 4.1.2. Comparisons with H−1 gradient flow. We make a systematic com-parison of our proposed method with the H−1 gradient flow approach in the simulation of the ESC.

  7. An operator-splitting optimization approach for phase-field simulation of equilibrium shapes of crystals

    In this paper, we propose a new numerical method based on the Davis-Yin splitting (DYS) optimization algorithm to predict the ESC instead of using gradient flow approaches.

  8. A fast, robust, and accurate operator splitting method for phase-field simulations of crystal

    Apr 15, 2011 · In this paper we propose a fast, robust, and accurate operator splitting method for phase-field simulations of dendritic growth in both two- and three-dimensional space. The proposed method …

  9. "An Operator-Splitting Optimization Approach for Phase-Field Simulation

    Jun 18, 2024 · Bibliographic details on An Operator-Splitting Optimization Approach for Phase-Field Simulation of Equilibrium Shapes of Crystals.

  10. An Operator-Splitting Optimization Approach for Phase-Field Simulation of Equilibrium Shapes of Crystals

    In this paper, we propose a new numerical method based on the Davis-Yin splitting (DYS) optimization algorithm to predict the ESC instead of using gradient flow approaches.