Error estimates for fully discrete approximation to a free boundary problem in polymer technology

DOI10.1016/S0096-3003(02)00103-0zbMath1029.65101OpenAlexW2016084250MaRDI QIDQ1406135

D. Massart

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00103-0

zbMATH Keywords

convergenceheat equationfinite element methodfree boundary problemCrank-Nicolson schemebackward Euler methoda priori error estimatespolymer technology

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Heat equation (35K05) 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) Free boundary problems for PDEs (35R35)

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Cites Work

• Finite element analysis of diffusion with reaction at a moving boundary
• Well-posedness of a moving boundary problem arising in a dissolution-growth process
• On a Problem in the Polymer Industry: Theoretical and Numerical Investigation of Swelling
• An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
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