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Finite element approximation of a microstructure evolution
Author(s) -
Roubiček Tomáš
Publication year - 1994
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670170505
Subject(s) - mathematics , finite element method , discretization , convergence (economics) , microstructure , element (criminal law) , mathematical analysis , mathematical optimization , structural engineering , engineering , materials science , political science , law , economics , metallurgy , economic growth
The evolution model of a microstructure described as appropriately generalized Young measures, which was developed in [11], is discretized here by means of a suitably adapted finite element method. The convergence of the approximate solutions is proved, and a one‐dimensional example is treated to discuss some implementation experience and to show some illustrative results.