Introduces an admissible minimizing-movement framework for parametric FEM approximations of geometric gradient flows that recovers classical BGN and MDR schemes, adds two new variants, and proves unconditional energy stability.
A convergent evolving finite element algorithm for
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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A minimizing-movement framework for geometric gradient flows with admissible tangential motion
Introduces an admissible minimizing-movement framework for parametric FEM approximations of geometric gradient flows that recovers classical BGN and MDR schemes, adds two new variants, and proves unconditional energy stability.
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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.