A subgrid projection method for relaxation of non-attainable differential inclusions

D. Cox, P. Klouček and D. R. Reynolds
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D. Cox: Rice University
P. Klouček: Rice University, Department of Computational and Applied Mathematics
D. R. Reynolds: Rice University

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 575-584 from Springer

Abstract: Summary We propose a subgrid projection method which is suitable for computing microstructures describing non-attainable infima of variational integrals. We document that a descent method in combination with the proposed method yields relaxing sequences which converge in weak-* topology as well as in the sense of approximate Young measures. We show that a sufficient condition for our method to work is to asymptotically form white noise. We present an example which shows that this requires symmetry in the target function.

Keywords: White Noise; Shape Memory Alloy; Steep Descent; Target Function; Free Energy Density (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_54

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DOI: 10.1007/978-88-470-2089-4_54

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