Summary.
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 \(P_1\) 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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Received December 23, 1997 / Revised version received September 7, 1998 / Published online: June 29, 1999
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Chipot, M. The appearance of microstructures in problems with incompatible wells and their numerical approach. Numer. Math. 83, 325–352 (1999). https://doi.org/10.1007/s002110050452
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DOI: https://doi.org/10.1007/s002110050452