Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis
DOI10.1142/s0218202524500398MaRDI QIDQ6633029
Publication date: 5 November 2024
Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)
free energyCahn-Hilliard equationfinite-element methodenergy stabilitylymphangiogenesisconvex splittingcross-diffusion systemsexistence of discrete solutions
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Developmental biology, pattern formation (92C15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell biology (92C37) Computational methods for problems pertaining to biology (92-08)
Cites Work
- Unnamed Item
- Spatio-temporal models of lymphangiogenesis in wound healing
- A gradient stable scheme for a phase field model for the moving contact line problem
- A mathematical model for lymphangiogenesis in normal and diabetic wounds
- Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations
- Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions
- Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system
- An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels
- On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth
- Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models
- Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model
- Energy stable compact scheme for Cahn-Hilliard equation with periodic boundary condition
- Network development in biological gels: role in lymphatic vessel development
- A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
- Existence of solutions for a class of fourth order cross-diffusion systems of gradient flow type
- A mathematical model of lymphangiogenesis in a zebrafish embryo
- Continuum thermodynamics of chemically reacting fluid mixtures
- A coupled surface-Cahn–Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes
- Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations
- Entropy dissipative one‐leg multistep time approximations of nonlinear diffusive equations
- A monotone finite element scheme for convection-diffusion equations
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- New development in freefem++
- Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
- A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
- Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
- Viscoelastic Cahn–Hilliard models for tumor growth
- Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
- Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system
- Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems
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