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 SM ISO690:2012MOROŞANU, Costică. Errors analysis for two methods approximating the classical Caginalp’s model. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 19-20. ISBN 978-9975-76-247-2. |
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| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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| MSC 2010: 35K55, 35K57, 65M06, 65M12, 65Y20, 80Axx | ||||||
| Pag. 19-20 | ||||||
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The paper concerns with the error analysis of two time-stepping schemes used in the discretization of the phase- eld transition system with a classical regular potential (Caginalp's model) and Neumann boundary conditions. Using energy methods, we establish L1 error estimates for the implicit Euler and a fractional steps method. A numerical experiment validates the theoretical results (see [1]), comparing the accuracy of the methods (see [2], [3]). |
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| Cuvinte-cheie nonlinear PDE of parabolic type, Reaction-diffusion equations, finite difference methods, fractional steps method, stability and convergence of numerical methods, performance of numerical algorithms, thermodynamics, phase-changes |
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