Finite Element Approximation of a System Coupling Curve Evolution with Prescribed Normal Contact to a Fixed Boundary to Reaction-Diffusion on the Curve

DOI10.1007/978-3-030-55874-1_121zbMath1475.65134arXiv2002.11996OpenAlexW3164447669MaRDI QIDQ3379548

James van Yperen, Vanessa Styles

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11996

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Finite element error analysis for a system coupling surface evolution to diffusion on the surface ⋮ Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces ⋮ Numerical analysis for a system coupling curve evolution attached orthogonally to a fixed boundary, to a reaction–diffusion equation on the curve

Cites Work

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• Curve shortening flow coupled to lateral diffusion
• The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute
• On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations
• Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary
• CONVERGENCE OF A SEMI-DISCRETE SCHEME FOR THE CURVE SHORTENING FLOW
• On approximations of the curve shortening flow and of the mean curvature flow based on the DeTurck trick
• Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve
• Numerical diffusion-induced grain boundary motion

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