Second-order PFEMs for surface diffusion achieve exact area/volume preservation via Simpson-Boole geometric identities on quadratic interpolants without auxiliary multipliers.
Journal of Computational Physics 222(1), 441–467 (2007)
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Proof of optimal H1-norm error estimates for A-stable BDF1/BDF2 full discretizations of Willmore flow using surface finite elements of degree at least 2.
citing papers explorer
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Second-Order Area/Volume-Preserving PFEMs for Surface Diffusion via Simpson--Boole Geometric Identities
Second-order PFEMs for surface diffusion achieve exact area/volume preservation via Simpson-Boole geometric identities on quadratic interpolants without auxiliary multipliers.
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Error estimates for $A$-stable backward difference full discretizations of Willmore flow of closed surfaces
Proof of optimal H1-norm error estimates for A-stable BDF1/BDF2 full discretizations of Willmore flow using surface finite elements of degree at least 2.