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Numerical analysis of a model for phase separation of a multicomponent alloy |
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| Authors: | BLOWEY J F; COPETTI M I M; ELLIOTT C M |
| Institution: |
Department of Mathematical Sciences South Road, Durham DH1 3LE, UK Departamento de Mathemtica, Universidade Federal de Santa Maria 97119 Santa Maria - RS, Brazil Centre for Mathematical Analysis and its Applications, University of Sussex Falmer, Brighton BN1 9QH, UK |
| Abstract: | We consider a fully discrete implicit finite-element approximationof a model for the phase separation of a multi-component alloy.We prove existence, uniqueness and stability of the numericalsolution for a sufficiently small time step. We prove convergenceto the solution of the associated continuous problem. We performa linear stability analysis of the equation and describe somenumerical experiments. |
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