Existence and Approximate Solutions of a Model for Ostwald Ripening

DOI10.1080/01630560802295906zbMath1158.35055OpenAlexW2026838171MaRDI QIDQ3532774

José Luiz Boldrini, Patrícia Nunes da Silva

Publication date: 28 October 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802295906

zbMATH Keywords

error estimatesfinite elementswell-posednessfully discrete schemehomogeneous Neumann boundary conditionsAllen-Cahn equationCahn-Hillard equationanisotropic cyrstals

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
• Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
• Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem
• Error Estimates for Full Discretization of a Model for Ostwald Ripening

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