Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations
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Publication:2137983
DOI10.1016/j.jcp.2022.111180OpenAlexW3217443430WikidataQ114163330 ScholiaQ114163330MaRDI QIDQ2137983
Robert Nürnberg, Weizhu Bao, Quan Zhao, Harald Garcke
Publication date: 11 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.13565
unconditional stabilityvolume conservationaxisymmetrysurface diffusion flowparametric finite element methodconserved mean curvature flow
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)
Related Items (8)
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 ⋮ Unfitted finite element methods for axisymmetric two-phase flow ⋮ A Symmetrized Parametric Finite Element Method for Anisotropic Surface Diffusion in Three Dimensions ⋮ Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry ⋮ A structure-preserving parametric finite element method for area-conserved generalized curvature flow ⋮ Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow ⋮ New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution
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