Multiscale Enrichment based on Partition of Unity for Nonperiodic Fields and Nonlinear Problems
نویسندگان
چکیده
We present a generalization of the Multiscale Enrichment based on Partition of Unity (MEPU) formulation originally reported in [1] to account for boundary layers, nonperiodic fields and nonlinear systems. MEPU is aimed at extending the range of applicability of the mathematical homogenization theory to nonlinear nonperiodic systems with inseparable fine and coarse scales. Performance studies for both continuum and coarse grained discrete systems are conducted to validate the formulation.
منابع مشابه
Multiscale Enrichment based on Partition of Unity
A new Multiscale Enrichment method based on the Partition of Unity (MEPU) method is presented. It is a synthesis of mathematical homogenization theory and the Partition of Unity method. Its primary objective is to extend the range of applicability of mathematical homogenization theory to problems where scale separation may not be possible. MEPU is perfectly suited for enriching the coarse scale...
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