Gradient Recovery-Type a Posteriori Error Estimates for Steady-State Poisson-Nernst-Planck Equations

DOI10.4208/aamm.OA-2019-0046zbMath1488.65651MaRDI QIDQ5156998

Shi Shu, Ying Yang, Mingjuan Fang, Ruigang Shen

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

gradient recoverya posteriori error estimatePoisson-Nernst-Planck equations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electro- and magnetostatics (78A30) PDEs in connection with statistical mechanics (35Q82) Finite element, Galerkin and related methods applied to problems in statistical mechanics (82M10)

Related Items (2)

Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions ⋮ Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids
• A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods
• Adaptive approaches and reliability estimations in finite element analysis
• A posteriori error estimators for convection-diffusion equations
• An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
• Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
• Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation
• Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates
• Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
• Parallel Adaptive Finite Element Algorithms for Solving the Coupled Electro-diffusion Equations
• A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel
• A simple error estimator and adaptive procedure for practical engineerng analysis
• A‐posteriori error estimates for the finite element method
• Gradient superconvergence on uniform simplicial partitions of polytopes
• A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods
• An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations
• Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
• Modeling and simulating asymmetrical conductance changes in gramicidin pores
• Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
• An experimental survey of a posteriori Courant finite element error control for the Poisson equation

This page was built for publication: Gradient Recovery-Type a Posteriori Error Estimates for Steady-State Poisson-Nernst-Planck Equations