Finite element methods for fourth order axisymmetric geometric evolution equations
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Publication:2311488
DOI10.1016/j.jcp.2018.10.006zbMath1416.65334arXiv1806.05093OpenAlexW2808463287WikidataQ117202060 ScholiaQ117202060MaRDI QIDQ2311488
John W. Barrett, Robert Nürnberg, Harald Garcke
Publication date: 10 July 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.05093
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Related Items (12)
A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves ⋮ An energy-stable parametric finite element method for anisotropic surface diffusion ⋮ Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations ⋮ Unfitted finite element methods for axisymmetric two-phase flow ⋮ Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry ⋮ Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow ⋮ Variational discretization of axisymmetric curvature flows ⋮ Stable approximations for axisymmetric Willmore flow for closed and open surfaces ⋮ A Structure-Preserving Parametric Finite Element Method for Surface Diffusion ⋮ Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds ⋮ A $θ-L$ Formulation-Based Finite Element Method for Solving Axisymmetric Solid-State Dewetting Problems ⋮ Computing confined elasticae
Cites Work
- A stable numerical method for the dynamics of fluidic membranes
- Error analysis for the approximation of axisymmetric Willmore flow by \(C^{1}\)-finite elements
- Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films
- A finite element method for surface diffusion: the parametric case.
- An algorithm for evolutionary surfaces
- A parametric finite element method for fourth order geometric evolution equations
- Asymptotic behavior for singularities of the mean curvature flow
- On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\)
- Modeling and computation of two phase geometric biomembranes using surface finite elements
- On rotationally symmetric mean curvature flow
- A numerical scheme for axisymmetric solutions of curvature-driven free boundary problems, with applications to the Willmore flow
- Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff
- The Willmore flow near spheres.
- Gradient flow for the Willmore functional
- Stability of cylindrical bodies in the theory of surface diffusion
- Linking anisotropic sharp and diffuse surface motion laws via gradient flows
- Min-max theory and the Willmore conjecture
- Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects
- Stability Analysis of Delaunay Surfaces as Steady States for the Surface Diffusion Equation
- Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering
- Computation of geometric partial differential equations and mean curvature flow
- On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations
- A singular example for the Willmore flow
- The use of Delaunay curves for the wetting of axisymmetric bodies
- Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces
- Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature
- Space–Time Finite Element Methods for Surface Diffusion with Applications to the Theory of the Stability of Cylinders
- Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations
- The effect of spontaneous curvature on a two-phase vesicle
- Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies
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