An ALE meshfree method for surface PDEs coupling with forced mean curvature flow
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Publication:6094727
DOI10.1016/j.jcp.2023.112467OpenAlexW4386303575MaRDI QIDQ6094727
Nazakat Adil, Kun Wang, Xufeng Xiao, Xinlong Feng
Publication date: 10 October 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112467
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Parabolic equations and parabolic systems (35Kxx)
Cites Work
- A high-order kernel method for diffusion and reaction-diffusion equations on surfaces
- Curvature driven interface evolution
- The surface finite element method for pattern formation on evolving biological surfaces
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
- On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy
- An algorithm for evolutionary surfaces
- A parametric finite element method for fourth order geometric evolution equations
- On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\)
- Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method
- Classical solutions for diffusion-induced grain-boundary motion
- Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
- A fourth-order scheme for incompressible Boussinesq equations
- Numerical comparisons of two meshless methods using radial basis functions
- Analysis of a fourth-order finite difference method for the incompressible Boussinesq equations
- An ALE ESFEM for solving PDEs on evolving surfaces
- Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations
- Finite element error analysis for a system coupling surface evolution to diffusion on the surface
- Transport schemes in spherical geometries using spline-based RBF-FD with polynomials
- A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
- Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces
- Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow
- A meshfree generalized finite difference method for surface PDEs
- An insight into RBF-FD approximations augmented with polynomials
- Simulating backward wave propagation in metamaterial with radial basis functions
- Solving partial differential equations on (evolving) surfaces with radial basis functions
- A fully Lagrangian meshfree framework for PDEs on evolving surfaces
- A convergent algorithm for forced mean curvature flow driven by diffusion on the surface
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces
- Short time existence for coupling of scaled mean curvature flow and diffusion
- Qualitative properties for a system coupling scaled mean curvature flow and diffusion
- Convergence of perturbed Allen-Cahn equations to forced mean curvature flow
- Parametric finite element approximations of curvature-driven interface evolutions
- Finite elements on evolving surfaces
- On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations
- Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary
- Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems
- A Least Squares Radial Basis Function Finite Difference Method with Improved Stability Properties
- Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance
- A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation
- Finite element methods for surface PDEs
- A free-boundary model for diffusion-induced grain boundary motion
- Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies
- An adaptive time-stepping method for the phase-field molecular beam epitaxial growth model on evolving surfaces
- An adaptive time-stepping method for the binary fluid-surfactant phase field model on evolving surfaces
- Stabilized finite element approximation of the Swift-Hohenberg model on evolving surfaces
