On a skin tumor growth modeling by the surface finite element methods combined with the phase field approach
type: Item
instance of: scholarly article
title: On a skin tumor growth modeling by the surface finite element methods combined with the phase field approach
author: Rui Xu
author: S. J. Huang
author: Xufeng Xiao
author: D. Sheen
author: Xinlong Feng
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2025-01-22T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 35Qxx
zbMATH DE Number: 7973472
zbMATH Keywords: phase-field model
zbMATH Keywords: skin tumor growth
zbMATH Keywords: evolving surface finite element method
zbMATH Keywords: keloid simulation
MaRDI profile type: Publication
cites work: A history of the study of solid tumour growth: the contribution of mathematical modelling
cites work: ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
cites work: An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis
cites work: Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
cites work: Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method
cites work: Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment
cites work: Mathematical modelling of cancer cell invasion of tissue
cites work: Multiscale modelling of palisade formation in gliobastoma multiforme
cites work: Stochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomas
cites work: Galerkin finite element method for cancer invasion mathematical model
cites work: A biophysical model of tumor invasion
cites work: Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization
cites work: An asymptotic analysis and numerical simulation of a prostate tumor growth model via the generalized moving least squares approximation combined with semi-implicit time integration
cites work: Finite element methods for surface PDEs
cites work: Keller-Segel chemotaxis models: a review
cites work: Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis
cites work: Level set equations on surfaces via the closest point method
cites work: The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
cites work: PDEs on moving surfaces via the closest point method and a modified grid based particle method
cites work: Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model
cites work: A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces
cites work: Finite elements on evolving surfaces
cites work: Evolving surface finite element method for the Cahn-Hilliard equation
cites work: An adaptive time-stepping method for the phase-field molecular beam epitaxial growth model on evolving surfaces
cites work: An adaptive time-stepping method for the binary fluid-surfactant phase field model on evolving surfaces
cites work: Stabilized finite element approximation of the Swift-Hohenberg model on evolving surfaces
cites work: Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows
cites work: An energy-stable finite-difference scheme for the binary fluid-surfactant system
cites work: Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system
cites work: Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
cites work: A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints
cites work: Applications of semi-implicit Fourier-spectral method to phase field equations
cites work: Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
cites work: GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING
cites work: A marching method for the triangulation of surfaces
cites work: A Fully Discrete Evolving Surface Finite Element Method
cites work: A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
DOI: 10.1016/J.CNSNS.2024.108470
description: scientific article; zbMATH DE number 7973472