A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion
DOI10.1016/j.jcp.2010.12.029zbMath1316.65089OpenAlexW2129134793MaRDI QIDQ543668
Shingyu Leung, John S. Lowengrub, Hong-Kai Zhao
Publication date: 17 June 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2010.12.029
CFL conditionsemi-implicit schemeLagrangian sampling particlesEulerian meshWillmore flowCN schememotion by surface diffusionpartial differential equations on surfaces
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- Simulating the dynamics and interactions of flexible fibers in Stokes flows
- An Eulerian approach to transport and diffusion on evolving implicit surfaces
- A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
- Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth
- A finite element method for surface diffusion: the parametric case.
- A numerical method for simulating the dynamics of 3D axisymmetric vesicles suspended in viscous flows
- A grid based particle method for evolution of open curves and surfaces
- PDE's on surfaces -- a diffusive interface approach
- A parametric finite element method for fourth order geometric evolution equations
- A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D
- A grid based particle method for moving interface problems
- Dynamics of multicomponent vesicles in a viscous fluid
- On the motion of a phase interface by surface diffusion
- QMR: A quasi-minimal residual method for non-Hermitian linear systems
- An Eulerian formulation for solving partial differential equations along a moving interface
- A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow
- Numerical simulation of anisotropic surface diffusion with curvature-dependent energy
- Evolution of inelastic plane curves
- The Willmore flow near spheres.
- Transport and diffusion of material quantities on propagating interfaces via level set methods.
- A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
- A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface
- Numerical solutions for the surface diffusion flow in three space dimensions
- A simple embedding method for solving partial differential equations on surfaces
- Fourth order partial differential equations on general geometries
- A level-set method for interfacial flows with surfactant
- Evolution of vesicles subject to adhesion
- The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
- Finite elements on evolving surfaces
- ANALYSIS OF A DIFFUSE INTERFACE APPROACH TO AN ADVECTION DIFFUSION EQUATION ON A MOVING SURFACE
- The Surface Diffusion Flow for Immersed Hypersurfaces
- Curvature effects in vesicle-particle interactions
- Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method
- Variational problems and partial differential equations on implicit surfaces
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