Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Motion of multiple junctions: a level set approach
Journal of Computational Physics
A simple proof of convergence for an approximation scheme for computing motions by mean curvature
SIAM Journal on Numerical Analysis
A numerical method for tracking curve networks moving with curvature motion
Journal of Computational Physics
A dynamic mesh algorithm for curvature dependent evolving interfaces
Journal of Computational Physics
Quarterly of Applied Mathematics
Volume-preserving mean curvature flow as a limit of a nonlocal Ginzburg-Landau equation
SIAM Journal on Mathematical Analysis
Capturing the behavior of bubbles and drops using the variational level set approach
Journal of Computational Physics
Efficient algorithms for diffusion-generated motion by mean curvature
Journal of Computational Physics
A diffusion-generated approach to multiphase motion
Journal of Computational Physics
Convolution-generated motion as a link between cellular automata and continuum pattern dynamics
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
Convolution-generated motion and generalized Huygens' principles for interface motion
SIAM Journal on Applied Mathematics
A remark on computing distance functions
Journal of Computational Physics
Shapes and geometries: analysis, differential calculus, and optimization
Shapes and geometries: analysis, differential calculus, and optimization
Convolution—thresholding methods for interface motion
Journal of Computational Physics
A Simple Scheme for Volume-Preserving Motion by Mean Curvature
Journal of Scientific Computing
Semi-Implicit Level Set Methods for Curvature and Surface Diffusion Motion
Journal of Scientific Computing
Redistancing by flow of time dependent eikonal equation
Journal of Computational Physics
Diffusion generated motion using signed distance functions
Journal of Computational Physics
A variational method for multiphase volume-preserving interface motions
Journal of Computational and Applied Mathematics
Hi-index | 0.00 |
We propose efficient and accurate algorithms for computing certain area preserving geometric motions of curves in the plane, such as area preserving motion by curvature. These schemes are based on a new class of diffusion generated motion algorithms using signed distance functions. In particular, they alternate two very simple and fast operations, namely convolution with the Gaussian kernel and construction of the distance function, to generate the desired geometric flow in an unconditionally stable manner. We present applications of these area preserving flows to large scale simulations of coarsening.