Convergence of Dziuk's Fully Discrete Linearly Implicit Scheme for Curve Shortening Flow

DOI10.1137/21M1391626zbMath1492.65276OpenAlexW3210699758MaRDI QIDQ5164017

Changqing Ye, Jun-Zhi Cui

Publication date: 9 November 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1391626

zbMATH Keywords

convergenceerror estimatecurve shortening flowfully discretelinearly implicit

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow ⋮ A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow ⋮ A symmetrized parametric finite element method for simulating solid-state dewetting problems ⋮ New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution ⋮ Unnamed Item

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