An adaptive meshfree method for phase-field models of biomembranes. I: Approximation with maximum-entropy basis functions
From MaRDI portal
Publication:6534372
DOI10.1016/j.jcp.2013.04.046zbMATH Open1548.82032MaRDI QIDQ6534372
Christian Peco, A. Rosolen, Marino Arroyo
Publication date: 23 October 2014
Published in: Journal of Computational Physics (Search for Journal in Brave)
Phase transitions (general) in equilibrium statistical mechanics (82B26) General biology and biomathematics (92B05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An adaptive meshfree method for phase-field models of biomembranes. II: A Lagrangian approach for membranes in viscous fluids
- A fast algorithm for simulating vesicle flows in three dimensions
- Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations
- Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
- Finite element modeling of lipid bilayer membranes
- Spectral implementation of an adaptive moving mesh method for phase-field equations
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Viscous regularization and r-adaptive remeshing for finite element analysis of lipid membrane mechanics
- Parametric FEM for geometric biomembranes
- Three-dimensional, fully adaptive simulations of phase-field fluid models
- Modeling and computation of two phase geometric biomembranes using surface finite elements
- A phase field method for simulating morphological evolution of vesicles in electric fields
- Calculation of two-phase Navier-Stokes flows using phase-field modeling
- A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
- Geometrical image segmentation by the Allen-Cahn equation
- Revisiting brittle fracture as an energy minimization problem
- A time-adaptive finite volume method for the Cahn-Hilliard and Kuramoto-Sivashinsky equations
- An adaptive mesh redistribution method for the incompressible mixture flows using phase-field model
- A fully implicit, fully adaptive time and space discretisation method for phase-field simulation of binary alloy solidification
- Energetic variational approaches in modeling vesicle and fluid interactions
- Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
- Surface evolution of elastically stressed films under deposition by a diffuse interface model
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- 3D phase-field simulations of interfacial dynamics in Newtonian and viscoelastic fluids
- Nonlinear manifold learning for meshfree finite deformation thin-shell analysis
- Second-order convex maximum entropy approximants with applications to high-order PDE
- Thin shell analysis from scattered points with maximum-entropy approximants
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
- Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
- On the optimum support size in meshfree methods: A variational adaptivity approach with maximum-entropy approximants
- Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations
- Smooth, second order, non-negative meshfree approximants selected by maximum entropy
- Surfaces Generated by Moving Least Squares Methods
- Numerical Optimization
- Centroidal Voronoi Tessellations: Applications and Algorithms
- Approximation of Helfrich's Functional via Diffuse Interfaces
- Construction of polygonal interpolants: a maximum entropy approach
Related Items (4)
An adaptive meshfree method for phase-field models of biomembranes. II: A Lagrangian approach for membranes in viscous fluids ⋮ Phase-field modeling of brittle fracture in a 3D polycrystalline material via an adaptive isogeometric-meshfree approach ⋮ On the application of higher-order elements in the hierarchical interface-enriched finite element method ⋮ Eulerian finite volume method using Lagrangian markers with reference map for incompressible fluid-structure interaction problems
This page was built for publication: An adaptive meshfree method for phase-field models of biomembranes. I: Approximation with maximum-entropy basis functions