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Español, M.I.; Lewicka, M.; Scardia, L.; Schlömerkemper, A. (Ed.)
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Español, M; Lewicka, M; Scardia, L; Schlömerkemper, A (Ed.)Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play a crucial role in determining the grain structure and defining the materials properties across multiple scales. In this work, we consider two models for the motion of grain boundaries with the dynamic lattice misorientations and the triple junctions drag, and we conduct extensive numerical study of the models, as well as present relevant experimental results of grain growth in thin films.more » « less
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Bressan, A; Lewicka, M; Wang, D.; Zheng, Y.X. (Ed.)In this paper we review the algorithm development in high order methods for some conservation laws. The emphasis is on our recent contribution in the study of two model classes: Fokker-Planck-type equations and hyperbolic conservation law systems. For the former we will review free-energy-satisfying and positivity-preserving schemes. For the later we will review the general invariant-region-preserving (IRP) limiter, and its application to high order methods for multi-dimensional hyperbolic systems of conservation laws.more » « less
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null; null; Lewicka, M.; Pati, A.N.; null; Teboh-EwEwungkem, M.I. (Ed.)
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Acu, B.; Danielli, D.; Lewicka, M.; Pati, A.; Saraswathy, RV; Teboh-Ewungkem, M. (Ed.)
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