A structure-preserving finite element discretization for the time-dependent Nernst-Planck equation
DOI10.1007/s12190-021-01571-4zbMath1489.65150OpenAlexW3174948591MaRDI QIDQ2142539
Qiaojun Fang, Benzhuo Lu, Qianru Zhang, Bin Tu
Publication date: 27 May 2022
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-021-01571-4
Nernst-Planck equationJordan-Kinderlehrer-Otto schemeScharfetter-Gummel approximationstructure-preserving finite element discretization
Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Regularity of solutions in optimal control (49N60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimality conditions for free problems in two or more independent variables (49K10) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) PDEs in connection with semiconductor devices (35Q81)
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