Quadratic rate of convergence for curvature dependent smooth interfaces: A simple proof

DOI10.1016/0893-9659(94)90012-4zbMath0823.35013OpenAlexW2059827887MaRDI QIDQ1334826

Claudio Verdi, Ricardo H. Nochetto, Maurizio Paolini

Publication date: 22 September 1994

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(94)90012-4

zbMATH Keywords

double obstacle problemsgeometric front evolutionsinterface error estimates

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57)

Related Items (3)

A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem ⋮ Diffuse-Interface Approximations of Osmosis Free Boundary Problems ⋮ Error estimates and numerical simulations of mean curvature flow through a modified reaction-diffusion equation

Cites Work

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• Generation and propagation of interfaces for reaction-diffusion equations
• Quasi-optimal error estimates for the mean curvature flow with a forcing term
• Phase transitions and generalized motion by mean curvature
• SHARP ERROR ANALYSIS FOR CURVATURE DEPENDENT EVOLVING FRONTS
• Front Propagation and Phase Field Theory

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