Computation of Microstructure Utilizing Young Measure Representations

An algorithm is proposed for the solution of non-convex variational problems. In order to avoid representing highly oscillatory functions on a mesh, an associated Young measure, which characterizes such oscillations, is also approximated. Sample calculations demonstrate the viability of this approac...

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Veröffentlicht in:	Journal of intelligent material systems and structures 1993-10, Vol.4 (4), p.457-462
Hauptverfasser:	Nicolaides, R.A., Walkington, Noel J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithmics. Computability. Computer arithmetics Applied sciences Computer science control theory systems Condensed matter: structure, mechanical and thermal properties Defects and impurities in crystals microstructure Exact sciences and technology Physics Structure of solids and liquids crystallography Theoretical computing Theories and models of crystal defects
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Beschreibung
Zusammenfassung:	An algorithm is proposed for the solution of non-convex variational problems. In order to avoid representing highly oscillatory functions on a mesh, an associated Young measure, which characterizes such oscillations, is also approximated. Sample calculations demonstrate the viability of this approach.
ISSN:	1045-389X 1530-8138
DOI:	10.1177/1045389X9300400403