Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) Global differential geometry (53Cxx)

Cites Work

Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs
A finite element method for surface diffusion: the parametric case.
A parametric finite element method for fourth order geometric evolution equations
A discrete scheme for parametric anisotropic surface diffusion
On the parametric finite element approximation of evolving hypersurfaces in $\mathbb R^3$
Anisotropic mean curvature flow for two-dimensional surfaces in higher codimension: A numerical scheme
Energy dissipative numerical schemes for gradient flows of planar curves
Variational discretization of axisymmetric curvature flows
Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff
Electromigration of intergranular voids in metal films for microelectronic interconnects.
Linking anisotropic sharp and diffuse surface motion laws via gradient flows
A Convergent evolving finite element algorithm for Willmore flow of closed surfaces
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
Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow
Sharp-interface approach for simulating solid-state dewetting in two dimensions: A Cahn-hoffman $\boldsymbol{\xi}$-vector formulation
Finite element methods for fourth order axisymmetric geometric evolution equations
A sharp-interface model and its numerical approximation for solid-state dewetting with axisymmetric geometry
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
Numerical solutions for the surface diffusion flow in three space dimensions
A variational formulation of anisotropic geometric evolution equations in higher dimensions
Evolution of Elastic Curves in $\Rn$: Existence and Computation
Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering
Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions
Parametric finite element approximations of curvature-driven interface evolutions
Computation of geometric partial differential equations and mean curvature flow
Numerical approximation of anisotropic geometric evolution equations in the plane
On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations
Discrete Anisotropic Curve Shortening Flow
Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces
Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation
Space–Time Finite Element Methods for Surface Diffusion with Applications to the Theory of the Stability of Cylinders
An energy-stable parametric finite element method for simulating solid-state dewetting
Stable approximations for axisymmetric Willmore flow for closed and open surfaces
A Structure-Preserving Parametric Finite Element Method for Surface Diffusion
Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations
Anisotropic curve shortening flow in higher codimension
Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs
High-Order Fully Discrete Energy Diminishing Evolving Surface Finite Element Methods for a Class of Geometric Curvature Flows
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion of Closed Curves
A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow
Interfaces: Modeling, Analysis, Numerics
A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters
A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion in Three Dimensions

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