Positivity-Preserving Hybridizable Discontinuous Galerkin Scheme for Solving PNP Model.

Abstract read

In one paragraph

Article in Entropy (Basel, Switzerland), 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it

0cells of the map it votes in

0citing papers in PubMed

–field-weighted citation impact

1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

2 authors.

Diana MoralesDepartment of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN 46556, USA.

Zhiliang XuDepartment of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN 46556, USA.ORCID 0000-0003-4056-6933

Funding

NSF 2424826/2424827

6 · The paper itself

Abstract

We introduce a hybridizable discontinuous Galerkin (HDG) scheme for solving the Poisson-Nernst-Planck (PNP) equations. The log-density formulation as introduced by Metti et al. in their paper "Energetically stable discretizations for charge transport and electrokinetic models. J. Comput. Phys. 2016, 306, 1-18" is utilized to ensure the positivity of the densities of the charged particles. We further prove that our fully discrete scheme is energy stable and mass conserving. Numerical simulations are provided to demonstrate the accuracy of the scheme in one and two spatial dimensions. A derivation of an HDG-DG space-time scheme is given, with implementation and convergence analysis left to future work.

Indexed as

energy stabilityhybridizable disconinuous GalerkinPoisson-Nernst-Planck equationpositivity preserving

Identifiers

PMID41295018

DOI10.3390/e27111175

PMCPMC12651077

What OpenQuestion holds

Textmetadata

LicenceCC BY

Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.