Residual type a posteriori error estimates for the time-dependent Poisson-Nernst-Planck equations
type: Item
instance of: scholarly article
title: Residual type a posteriori error estimates for the time-dependent Poisson-Nernst-Planck equations
zbMATH Open document ID: 1490.65218
author: Wanwan Zhu
author: Ying Yang
author: Guanghua Ji
author: Benzhuo Lu
published in: Journal of Scientific Computing
publication date: 2021-12-14T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7444772
zbMATH Keywords: Poisson-Nernst-Planck equations
zbMATH Keywords: residual type a posteriori error estimators
zbMATH Keywords: adaptive finite element method
zbMATH Keywords: backward Euler scheme
MaRDI profile type: Publication
full work available at URL: s10915-021-01702-w
OpenAlex ID: W3216598591
cites work: Q4073917
cites work: A posteriori error estimation in finite element analysis
cites work: A posteriori error estimates for the Crank–Nicolson method for parabolic equations
cites work: An a posteriori error estimator for an unsteady advection-diffusion-reaction problem
cites work: Analysis of the Efficiency of an a Posteriori Error Estimator for Linear Triangular Finite Elements
cites work: Error Estimates for Adaptive Finite Element Computations
cites work: A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem
cites work: A posteriori analysis of the finite element discretization of some parabolic equations
cites work: A posteriorierror analysis of the fully discretized time-dependent Stokes equations
cites work: Study of a finite volume scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit
cites work: A posteriori error estimates of two-grid finite element methods for nonlinear elliptic problems
cites work: Equilibrated residual error estimates are \(p\)-robust
cites work: Q4300595
cites work: Numerical simulation of semiconductor devices
cites work: FINITE VOLUME APPROXIMATION FOR DEGENERATE DRIFT-DIFFUSION SYSTEM IN SEVERAL SPACE DIMENSIONS
cites work: Sharp 𝐿¹ a posteriori error analysis for nonlinear convection-diffusion problems
cites work: Q4144698
cites work: On the basic equations for carrier transport in semiconductors
cites work: Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
cites work: A posteriori error estimation for elliptic partial differential equations with small uncertainties
cites work: An energy preserving finite difference scheme for the Poisson-Nernst-Planck system
cites work: Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
cites work: A free energy satisfying finite difference method for Poisson-Nernst-Planck equations
cites work: Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
cites work: Q3406191
cites work: A multigrid method for the Poisson-Nernst-Planck equations
cites work: Q5421249
cites work: Adaptive finite elements for a linear parabolic problem
cites work: An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem
cites work: Time-dependent modelling and asymptotic analysis of electrochemical cells
cites work: A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations
cites work: A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel
cites work: Error analysis of finite element method for Poisson-Nernst-Planck equations
cites work: A posteriori error estimates for finite element discretizations of the heat equation
cites work: Q4916237
cites work: Parallel adaptive finite element algorithms for solving the coupled electro-diffusion equations
cites work: An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations
cites work: Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem
cites work: Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation
cites work: Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
cites work: A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations
cites work: A posterior error estimate for finite volume methods of the second order elliptic problem
DOI: 10.1007/S10915-021-01702-W
description: scientific article; zbMATH DE number 7444772