Finite element-based level set methods for higher order flows

DOI10.1007/s10915-008-9204-xzbMath1203.76111OpenAlexW2098578403MaRDI QIDQ618349

Christina Stöcker, Axel Voigt, Martin Burger

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9204-x

zbMATH Keywords

finite element methodsenergy dissipationlevel set methodshigher-order geometric flowssemi-implicit time stepping

Mathematics Subject Classification ID

Related Items (2)

Orientational order on surfaces: the coupling of topology, geometry, and dynamics ⋮ Control of Nanostructures through Electric Fields and Related Free Boundary Problems

Uses Software

• AMDiS

Cites Work

• Unnamed Item
• Unnamed Item
• Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films
• A finite element method for surface diffusion: the parametric case.
• A discrete scheme for parametric anisotropic surface diffusion
• A level set approach to anisotropic flows with curvature regularization
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Semi-implicit level set methods for curvature and surface diffusion motion
• Error estimates for a semi-implicit fully discrete element scheme for the mean curvature flow of graphs
• A fully discrete numerical scheme for weighted mean curvature flow
• Numerical simulation of anisotropic surface diffusion with curvature-dependent energy
• Level set methods and dynamic implicit surfaces
• An algorithm for mean curvature motion
• A level set formulation for Willmore flow
• A numerical scheme for regularized anisotropic curve shortening flow
• Adaptive full domain covering meshes for parallel finite element computations
• An algorithm for the elastic flow of surfaces
• OPTIMAL GEOMETRY IN EQUILIBRIUM AND GROWTH
• On Level Set Formulations for Anisotropic Mean Curvature Flow and Surface Diffusion
• Computation of geometric partial differential equations and mean curvature flow
• Mixed and Hybrid Finite Element Methods
• A Regularized Equation for Anisotropic Motion-by-Curvature
• Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility
• Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces
• A diffuse interface approach to Hele Shaw flow
• Some Theorems on the Free Energies of Crystal Surfaces

This page was built for publication: Finite element-based level set methods for higher order flows