Energetic stable discretization for non-isothermal electrokinetics model

Simo Wu, Chun Liu, Ludmil Zikatanov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We propose an edge averaged finite element (EAFE) discretization to solve the Heat-PNP (Poisson-Nernst-Planck) equations approximately. Our method enforces positivity of the computed charged density functions and temperature function. Also the thermodynamic consistent discrete energy estimate which resembles the thermodynamic second law of the Heat-PNP system is prescribed. Numerical examples are provided.

Original languageEnglish (US)
Article number109889
JournalJournal of Computational Physics
StatePublished - Jan 15 2021

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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