Brakke's inequality for the thresholding scheme
From MaRDI portal
Publication:2291734
DOI10.1007/s00526-020-1696-8OpenAlexW3002361454MaRDI QIDQ2291734
Publication date: 31 January 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.03071
Dynamics of phase boundaries in solids (74N20) Variational methods applied to PDEs (35A15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical approximation and computational geometry (primarily algorithms) (65Dxx)
Related Items
Diffusion-redistanciation schemes for 2D and 3D constrained Willmore flow: application to the equilibrium shapes of vesicles, Weak-strong uniqueness for the mean curvature flow of double bubbles, Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets, Analysis of diffusion generated motion for mean curvature flow in codimension two: a gradient-flow approach, A simplified threshold dynamics algorithm for isotropic surface energies, De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions, Mullins-Sekerka as the Wasserstein flow of the perimeter, A Monotone, Second Order Accurate Scheme for Curvature Motion
Cites Work
- Unnamed Item
- Unnamed Item
- Convergence of the thresholding scheme for multi-phase mean-curvature flow
- Consistency result for a non monotone scheme for anisotropic mean curvature flow
- Gamma-convergence of nonlocal perimeter functionals
- Diffusion generated motion for grain growth in two and three dimensions
- Asymptotic behavior for singularities of the mean curvature flow
- Threshold dynamics type approximation schemes for propagating fronts
- Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- Motion of multiple junctions: A level set approach
- Implicit time discretization for the mean curvature flow equation
- On the mean curvature flow of grain boundaries
- The thresholding scheme for mean curvature flow and de Giorgi's ideas for minimizing movements
- Convergence of thresholding schemes incorporating bulk effects
- Short-time heat flow and functions of bounded variation in \(\mathbb R^N\)
- Riemannian geometries on spaces of plane curves
- Large-scale simulation of normal grain growth via diffusion-generated motion
- Minimizing Movements for Mean Curvature Flow of Partitions
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies
- The Variational Formulation of the Fokker--Planck Equation
- Convergence of the Allen‐Cahn Equation to Multiphase Mean Curvature Flow
- Convergence of diffusion generated motion to motion by mean curvature
- Threshold dynamics for anisotropic surface energies
- Curvature-Driven Flows: A Variational Approach
- A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
- Threshold Dynamics for Networks with Arbitrary Surface Tensions
- APPROXIMATION OF THE ANISOTROPIC MEAN CURVATURE FLOW
- Convolution Kernels and Stability of Threshold Dynamics Methods
- Dislocation Models of Crystal Grain Boundaries
