Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations

DOI10.1007/s00211-021-01203-wzbMath1491.65086arXiv2007.06132OpenAlexW3171856336MaRDI QIDQ2049917

Jie Xu, Jie Shen

Publication date: 27 August 2021

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06132

zbMATH Keywords

maximum principlePoisson-Nernst-Planck equationspositivity preservingmass conservative

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Applications to the sciences (65Z05) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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