November 20, 2025EntropyOpen Access

Positivity-Preserving Hybridizable Discontinuous Galerkin Scheme for Solving PNP Model

View Full Paper

Ask AI

Bookmark

Authors

Discussion

Hybridizable discontinuous Galerkin method improves charge transport accuracy in PNP model, suggesting enhanced density positivity.

Numerical simulations validate the accuracy of the hybridizable discontinuous Galerkin scheme for solving PNP equations.
Convergence analysis confirms the robustness of the approach, ensuring reliable predictions in varying conditions.
The method employs a log-density formulation to maintain the positivity of densities for charged particles in the PNP model.
This framework may enable future advancements in charge transport modeling and ensure energy stability during simulations.

Morales et al. (2025) studied this question.

View Full Paper

Ask AI

Bookmark