Dual formulations of curvature flows enable linearly implicit energy-stable discretizations while accommodating artificial tangential motions to maintain mesh quality.
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Introduces an energy-stable fully discrete parametric finite element method for Willmore flow of hypersurfaces in 2D and 3D using normal-tangential velocity splitting and a novel weak formulation.
Introduces unconditionally stable fully discrete finite element schemes for axisymmetric Willmore flow via a novel weak formulation combining mean curvature evolution and generating curve curvature identity.
citing papers explorer
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Dual formulations of geometric curvature flows and their discretizations
Dual formulations of curvature flows enable linearly implicit energy-stable discretizations while accommodating artificial tangential motions to maintain mesh quality.
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An energy-stable parametric finite element method for Willmore flow with normal-tangential velocity splitting
Introduces an energy-stable fully discrete parametric finite element method for Willmore flow of hypersurfaces in 2D and 3D using normal-tangential velocity splitting and a novel weak formulation.
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Stable fully practical finite element methods for axisymmetric Willmore flow
Introduces unconditionally stable fully discrete finite element schemes for axisymmetric Willmore flow via a novel weak formulation combining mean curvature evolution and generating curve curvature identity.