Stable backward differentiation formula time discretization of BGN-based parametric finite element methods for geometric flows
DOI10.1137/23M1625597MaRDI QIDQ6623706
Wei Jiang, Chun-Mei Su, [[Person:6046755|Author name not available (Why is that?)]]
Publication date: 24 October 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
backward differentiation formulaegeometric flowparametric finite element methodBGN schemegood mesh qualityhigh-order accuracy in time
Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- 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
- On the parametric finite element approximation of evolving hypersurfaces in \(\mathbb R^3\)
- Computational parametric Willmore flow
- Threshold dynamics for high order geometric motions
- Convolution-generated motion as a link between cellular automata and continuum pattern dynamics
- A parametric finite element method for solid-state dewetting problems with anisotropic surface energies
- Geometric curve evolution and image processing
- 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
- Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow
- A convergent algorithm for forced mean curvature flow driven by diffusion on the surface
- A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
- Geometric partial differential equations and image analysis
- Evolution of plane curves driven by a nonlinear function of curvature and anisotropy
- Evolution of elastic curves in \(\mathbb R^n\): Existence and computation
- A phase field formulation of the Willmore problem
- A Higher Order Scheme for a Tangentially Stabilized Plane Curve Shortening Flow with a Driving Force
- 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
- CONVERGENCE OF A SEMI-DISCRETE SCHEME FOR THE CURVE SHORTENING FLOW
- On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick
- A direct method for solving an anisotropic mean curvature flow of plane curves with an external force
- An energy-stable parametric finite element method for simulating solid-state dewetting
- A convergent finite element algorithm for generalized mean curvature flows of closed surfaces
- A Structure-Preserving Parametric Finite Element Method for Surface Diffusion
- Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations
- A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions
- An Adaptive Moving Mesh Method for Forced Curve Shortening Flow
- 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
- A structure-preserving parametric finite element method for area-conserved generalized curvature flow
- New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution
- A second-order in time, BGN-based parametric finite element method for geometric flows of curves
- A new approach to the analysis of parametric finite element approximations to mean curvature flow
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