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math.NA2026
Augmented Lagrangian preconditioning for a simplified Ericksen--Leslie model of nematic liquid crystals
Yanying Li, Xu Qian, Jingmin Xia
The numerical solution of the simplified Ericksen--Leslie model for nematic liquid crystals is challenging because the flow and director equations are strongly coupled and because…
math.NA2026
Penalty-scaling effects in nonsymmetric interior-penalty DG discretizations of viscous rotating shallow-water equations
Xue Zhang, Jingmin Xia, Xu Qian
We investigate how the scaling of the interior-penalty parameter affects nonsymmetric interior-penalty Galerkin (NIPG) discretizations of the viscous rotating shallow-water equatio…