Publication: The appearance of microstructures in problems with incompatible wells and their numerical approach
The appearance of microstructures in problems with incompatible wells and their numerical approach
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Chipot, M. (1999). The appearance of microstructures in problems with incompatible wells and their numerical approach. Numerische Mathematik, 83(3), 325–352. https://doi.org/10.1007/s002110050452
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The goal of the paper is to analyze the creation of microstructure in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells. This forces the minimizing sequences to use other gradients than the wells in a puzzling way. Using a method we are then able to single out discrete minimizing sequences and to give energy estimates in terms of the mesh size.
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- Chipot, M
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Chipot, M. (1999). The appearance of microstructures in problems with incompatible wells and their numerical approach. Numerische Mathematik, 83(3), 325–352. https://doi.org/10.1007/s002110050452