Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models
DOI10.1016/j.jcp.2016.04.004zbMath1349.92015OpenAlexW2314914323MaRDI QIDQ2375214
Lili Ju, Xiaoqiang Wang, Qiang Du
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.04.004
Runge-Kutta methodsphase field methodexponential time differencingaugmented Lagrange multiplierelastic bending energyWillmore flow
Membranes (74K15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Cell biology (92C37) Computational methods for problems pertaining to biology (92-08)
Related Items (53)
Cites Work
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- Simulating vesicle-substrate adhesion using two phase field functions
- Phase-field approximations of the Willmore functional and flow
- Thermodynamically consistent higher order phase field Navier-Stokes models with applications to biomembranes
- Exponential time differencing for stiff systems
- A two phase field model for tracking vesicle-vesicle adhesion
- A phase field model for vesicle-substrate adhesion
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- A singular perturbation problem with integral curvature bound
- Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
- Dynamics of multicomponent vesicles in a viscous fluid
- Applications of semi-implicit Fourier-spectral method to phase field equations
- A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
- A level set formulation for Willmore flow
- Colliding interfaces in old and new diffuse-interface approximations of Willmore-flow
- Energetic variational approaches in modeling vesicle and fluid interactions
- On a modified conjecture of De Giorgi
- Diffuse interface energies capturing the Euler number: relaxation and renomalization
- Fast explicit integration factor methods for semilinear parabolic equations
- Multiplier and gradient methods
- Analysis and applications of the exponential time differencing schemes and their contour integration modifications
- Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
- Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation
- A phase field formulation of the Willmore problem
- Axisymmetric Indentation of a Thin Incompressible Elastic Layer
- Asymptotic Analysis of Phase Field Formulations of Bending Elasticity Models
- Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations
- Propagation of fronts in a nonlinear fourth order equation
- Approximation of Helfrich's Functional via Diffuse Interfaces
- Retrieving Topological Information for Phase Field Models
- Fourth-Order Time-Stepping for Stiff PDEs
- Error estimates for approximations of a gradient dynamics for phase field elastic bending energy of vesicle membrane deformation
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
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