High order numerical simulations for the polymer self-consistent field theory using the adaptive virtual element and spectral deferred correction methods
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In this paper, we propose an efficient and accurate numerical method, which combine the high order adaptive virtual element method (VEM) and spectral deferred correction (SDC) scheme together, to simulate the self-consistent field theory (SCFT) model on arbitrary domains. The VEM is very flexible in handling rather general polygonal elements, which is more suitable to discrete the model defined on complex geometric domain, and the SDC scheme can efficiently improve the approximation order of contour derivative. Moreover, an adaptive method equipped with a new marking strategy is developed to efficiently solve the SCFT for strong segregation systems. Results indicate that our approaches can efficiently produce high-accuracy numerical results.
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