Mixed finite element analysis for a modified Poisson-Fermi interface problem accounting for electrostatic correlations

DOI10.1016/j.cnsns.2024.108385MaRDI QIDQ6649274

Pengtao Sun, Mingyan He, Mengjie Liu

Publication date: 5 December 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

mixed finite element method optimal convergence jump coefficients electrostatic correlations Bazant-Storey-Kornyshev (BSK) theory electrostatic potential/stress/force fourth-order/second-order Poisson-Fermi interface problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Finite element methods applied to problems in fluid mechanics (76M10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Electro- and magnetostatics (78A30) Boltzmann equations (35Q20) Electrochemistry (78A57) Fermionic systems in quantum theory (81V74)

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