Hybrid Conjugate Gradient (HCG) Method in Polymer SCFT
Published:
Summary
This note documents the Hybrid Conjugate Gradient (HCG) strategy for solving polymer SCFT equations.
The method combines robust gradient-based updates with conjugate-direction acceleration to improve convergence behavior in nonlinear self-consistent iterations.
It is useful for reducing iteration cost and stabilizing difficult SCFT solves in high-dimensional parameter settings.
Full Derivation (PDF)
The full method note is provided below.
References
- Jiang K, Xu W, Zhang P. Analytic structure of the SCFT energy functional of multicomponent block copolymers. Commun Comput Phys. 2015;17(5):1360-1387.
- Liang Q, Jiang K, Zhang P. Efficient numerical schemes for solving the self-consistent field equations of flexible-semiflexible diblock copolymers. Math Methods Appl Sci. 2015;38(18):4553-4563.
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