The appearance of microstructures in problems with incompatible wells and their numerical approach |
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Authors: | Michel Chipot |
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Affiliation: | Angewandte Mathematik, Universit?t Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland, CH
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Abstract: | 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 method we are then able to single out discrete minimizing sequences and to give energy estimates in terms of the mesh size. Received December 23, 1997 / Revised version received September 7, 1998 / Published online: June 29, 1999 |
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Keywords: | Mathematics Subject Classification (1991):65K10 |
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