A subgrid projection method for relaxation of non-attainable differential inclusions
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.
KeywordsWhite Noise Shape Memory Alloy Steep Descent Target Function Free Energy Density
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