Numerical analysis of moving boundary problems using the boundary tracking method
From MaRDI portal
Publication:1370921
DOI10.1007/BF03167390zbMath0892.76065OpenAlexW2041297121MaRDI QIDQ1370921
Publication date: 12 August 1998
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167390
Related Items
A fully discrete curve-shortening polygonal evolution law for moving boundary problems, An automated segmentation of NATURA 2000 habitats from sentinel-2 optical data, Qualitative and Numerical Aspects of a Motion of a Family of Interacting Curves in Space, Comparison study for level set and direct Lagrangian methods for computing Willmore flow of closed planar curves, Multichannel segmentation of planar point clouds using evolving curves, A new tangentially stabilized 3D curve evolution algorithm and its application in virtual colonoscopy, Evolution of plane curves with a curvature adjusted tangential velocity, Numerical analysis of elastica with obstacle and adhesion effects, Lagrangian evolution approach to surface-patch quadrangulation., Discrete Lagrangian algorithm for finding geodesics on triangular meshes, On the approximation of blow-up time for solutions of nonlinear parabolic equations, Evolution of curves on a surface driven by the geodesic curvature and external force, The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute, Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature, Contour parametrization via anisotropic mean curvature flow, A level set method using the signed distance function, Comoving mesh method for certain classes of moving boundary problems
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
- The Hele--Shaw problem and area-preserving curve-shortening motions
- An algorithm for evolutionary surfaces
- On a differential equation arising in a Hele Shaw flow moving boundary problem
- Motion of level sets by mean curvature. I
- Évolution d'une interface par capillarité et diffusion de volume. I: Existence locale en temps
- The heat equation shrinking convex plane curves
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- The heat equation shrinks embedded plane curves to round points
- Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
- Parabolic equations for curves on surfaces. I: Curves with \(p\)-integrable curvature
- A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane
- Accurate numerical scheme for the flow by curvature
- Asymptotic estimation for the condition numbers in BEM
- Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
- Motion of Level Sets by Mean Curvature. II
- Complex variable methods in Hele–Shaw moving boundary problems
- CONVERGENCE OF A SEMI-DISCRETE SCHEME FOR THE CURVE SHORTENING FLOW
- Global solutions for small data to the Hele-Shaw problem
- Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations