Semi-implicit level set methods for curvature and surface diffusion motion
From MaRDI portal
Publication:1418897
DOI10.1023/A:1025324613450zbMath1035.65098MaRDI QIDQ1418897
Publication date: 14 January 2004
Published in: Journal of Scientific Computing (Search for Journal in Brave)
numerical examplessurface diffusiondifference methodlevel set methodscurvature flowsemi-implicit methods
First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items
Mean curvature motion of point cloud varifolds, Fast data extrapolating, A general computational framework for the dynamics of single- and multi-phase vesicles and membranes, Stability and shape evolution of voids and channels due to surface misfit, A level set method for materials with texturally equilibrated pores, Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations, Object-oriented persistent homology, A semi-implicit level set method for multiphase flows and fluid-structure interaction problems, Geometric and potential driving formation and evolution of biomolecular surfaces, Diffusion generated motion using signed distance functions, A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources, Capturing of interface topological changes in two-phase gas-liquid flows using a coupled volume-of-fluid and level-set method (VOSET), High order semi-implicit schemes for time dependent partial differential equations, Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs, A robust method for calculating interface curvature and normal vectors using an extracted local level set, A Cartesian-based embedded geometry technique with adaptive high-order finite differences for compressible flow around complex geometries, The explicit-implicit-null method: removing the numerical instability of PDEs, A new incompressibility discretization for a hybrid particle MAC grid representation with surface tension, A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow, A high-order level-set method with enhanced stability for curvature driven flows and surface diffusion motion, A tangent-plane marker-particle method for the computation of three-dimensional solid surfaces evolving by surface diffusion on a substrate, Phase field computations for surface diffusion and void electromigration in \({\mathbb{R}^3}\), Differential geometry based solvation model. I: Eulerian formulation, ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing, On an evolution equation in a cell motility model, Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations, Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions, Finite element-based level set methods for higher order flows, A local semi-implicit level-set method for interface motion, Finite element approximation of a three dimensional phase field model for void electromigration, Stability of Spectral Collocation Schemes with Explicit-Implicit-Null Time-Marching for ConvectionDiffusion and Convection-Dispersion Equations, A parametric finite element method for solid-state dewetting problems with anisotropic surface energies, Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems, Global Polynomial Level Sets for Numerical Differential Geometry of Smooth Closed Surfaces, Semi-implicit surface tension formulation with a Lagrangian surface mesh on an Eulerian simulation grid, Unconditional Stability for Multistep ImEx Schemes: Theory, A numerical method for coupled surface and grain boundary motion, Modelling in vitro lung branching morphogenesis during development, A numerical approach for fluid deformable surfaces, Image segmentation with depth information via simplified variational level set formulation, Cell-Centered Finite Volume Method for Regularized Mean Curvature Flow on Polyhedral Meshes, Computation of multiphase systems with phase field models., High-order semi-implicit linear multistep LG scheme for a three species competition-diffusion system in two-dimensional spatial domain arising in ecology, An essentially non-oscillatory Crank-Nicolson procedure for the simulation of convection-dominated flows, Sharp interface approaches and deep learning techniques for multiphase flows, A level set projection model of lipid vesicles in general flows, A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation, Two methods of surface tension treatment in free surface flow simulations, Variational dynamics of free triple junctions, Differential geometry based solvation model II: Lagrangian formulation, Curvature Regularized Surface Reconstruction from Point Clouds, Advecting normal vectors: a new method for calculating interface normals and curvatures when modeling two-phase flows, Liquid crystals on deformable surfaces, Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions, A variational framework for region-based segmentation incorporating physical noise models, A second order primitive preconditioner for solving all speed multi-phase flows, Numerically stable fluid-structure interactions between compressible flow and solid structures, A finite element method for surface diffusion: the parametric case., A diffuse-interface model for electrowetting drops in a Hele-Shaw cell, Finite difference methods for the infinity Laplace and \(p\)-Laplace equations, Differential geometry based multiscale models, Fourth order partial differential equations on general geometries, A combined compact finite difference scheme for predicting the evolution of a mean curvature driven interface, Linearly stabilized schemes for the time integration of stiff nonlinear PDEs, A level set approach to anisotropic flows with curvature regularization, A second order accurate level set method on non-graded adaptive Cartesian grids, Codimensional non-Newtonian fluids, Local discontinuous Galerkin methods with explicit-implicit-null time discretizations for solving nonlinear diffusion problems, Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations, Level set jet schemes for stiff advection equations: the semijet method, Unconditional stability for multistep ImEx schemes: practice, Fast algorithms for surface reconstruction from point cloud, MARS: a method for the adaptive removal of stiffness in PDEs, Electrohydrodynamics of Three-Dimensional Vesicles: A Numerical Approach, High-Order Fully Discrete Energy Diminishing Evolving Surface Finite Element Methods for a Class of Geometric Curvature Flows, Convex Splitting Method for Strongly Anisotropic Solid-State Dewetting Problems in Two Dimensions, Poincaré inequality for a mesh-dependent 2-norm on piecewise linear surfaces with boundary, Semi-implicit Level Set Method with Inflow-Based Gradient in a Polyhedron Mesh, 3D finite element simulation of the matter flow by surface diffusion using a level set method
