A numerical method for computing minimal surfaces in arbitrary dimension
From MaRDI portal
Publication:556306
DOI10.1016/j.jcp.2004.12.022zbMath1070.65048OpenAlexW2000693148MaRDI QIDQ556306
Publication date: 13 June 2005
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2004.12.022
Numerical optimization and variational techniques (65K10) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25)
Related Items
Object-oriented persistent homology ⋮ An approximation method based on MRA for the quasi-Plateau problem ⋮ Geometric and potential driving formation and evolution of biomolecular surfaces ⋮ Differential geometry based solvation model. I: Eulerian formulation ⋮ Simulation of a Soap Film Möbius Strip Transformation ⋮ Differential geometry based solvation model II: Lagrangian formulation ⋮ Differential geometry based multiscale models ⋮ Evolutionary de Rham-Hodge method ⋮ Learning phase field mean curvature flows with neural networks
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
- An algorithm for evolutionary surfaces
- A contribution to the particle modeling of soap films
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A contribution to the numerical approximation of minimal surfaces
- Fast tree-based redistancing for level set computations
- A PDE-based fast local level set method
- A multiphase level set framework for image segmentation using the Mumford and Shah model
- Local level set method in high dimension and codimension
- On the approximation of unstable parametric minimal surfaces
- On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
- On the numerical approximation of unstable minimal surfaces with polygonal boundaries
- Computing minimal surfaces via level set curvature flow
- A systematic net description of saddle polyhedra and periodic minimal surfaces
- Multigrid Algorithms for Variational Inequalities
- Explicit determination of area minimizing hypersurfaces. II
- The discrete Plateau Problem: Algorithm and numerics
- The Surface Evolver
