Error Estimates for Full Discretization of a Model for Ostwald Ripening

DOI10.1080/01630560802295922zbMath1155.65074OpenAlexW2133140572MaRDI QIDQ3532775

Patrícia Nunes da Silva, José Luiz Boldrini

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/10.1080/01630560802295922

zbMATH Keywords

phase transitionserror boundsCahn-Hilliard equationsemidiscretizationOstwald ripeningAllen-Cahn equationfull discretizationuniform meshquasi-uniform triangulation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (1)

Existence and Approximate Solutions of a Model for Ostwald Ripening

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

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