The content introduces a phase field model based on a Caginalp system with mechanical effects to study stereolithography. It establishes weak solutions' existence and convergence of a numerical scheme. The uniqueness, regularity, and error estimates for the Caginalp system are supported by numerical simulations. The model aims to improve additive manufacturing processes by understanding physical and chemical changes during curing. Various mathematical models for stereolithography are compared, and a fully discrete numerical scheme is proposed based on finite element spatial discretization and scalar auxiliary variable temporal discretization.
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by Xingguang Ji... at arxiv.org 03-27-2024
https://arxiv.org/pdf/2403.17434.pdfDeeper Inquiries