Stabilizer-free weak Galerkin method and its optimal \(L^2\) error estimates for the time-dependent Poisson-Nernst-Planck problem
DOI10.1016/j.cnsns.2024.108449MaRDI QIDQ6669762
Xiaoming He, Wen-Juan Li, Fuzheng Gao
Publication date: 22 January 2025
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
optimal error estimatesstabilizer-free weak Galerkin finite element methodPoisson-Nernst-Planck problem
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An approximation of semiconductor device by mixed finite element method and characteristics-mixed finite element method
- A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
- A weak Galerkin finite element method for the Maxwell equations
- A linearized local conservative mixed finite element method for Poisson-Nernst-Planck equations
- A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems
- A weak Galerkin finite element method for second-order elliptic problems
- A stabilizer free weak Galerkin finite element method for parabolic equation
- Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson-Nernst-Planck system
- A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes
- An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis
- Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations
- Developing stabilizer free weak Galerkin finite element method for second-order wave equation
- A weak Galerkin finite element method for time-dependent Poisson-Nernst-Planck equations
- A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations
- A virtual element method for the steady-state Poisson-Nernst-Planck equations on polygonal meshes
- Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model
- Mixed finite element analysis for the Poisson-Nernst-Planck/Stokes coupling
- A stabilizer-free weak Galerkin finite element method on polytopal meshes
- A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method
- Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells
- Linearized conservative finite element methods for the Nernst-Planck-Poisson equations
- A weak Galerkin mixed finite element method for second order elliptic problems
- Convergence analysis of a BDF2 / mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system
- Error analysis of mixed finite element method for Poisson‐Nernst‐Planck system
- The Necessary Modeling Detail for Neuronal Signaling: Poisson--Nernst--Planck and Cable Equation Models in One and Three Dimensions
- A Stabilizer-Free, Pressure-Robust, and Superconvergence Weak Galerkin Finite Element Method for the Stokes Equations on Polytopal Mesh
- A Stabilizer Free Weak Galerkin Method for the Biharmonic Equation on Polytopal Meshes
- Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson--Nernst--Planck System
- A weak Galerkin finite element method for the Navier-Stokes equations
- Error analysis of finite element method for Poisson-Nernst-Planck equations
- A stabilizer-free weak Galerkin finite element method with Alikhanov formula on nonuniform mesh for a linear reaction-subdiffusion problem
- A weak Galerkin finite element method for 1D semiconductor device simulation models
- A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation
- A weak Galerkin finite element method for nonlinear convection-diffusion equation
- A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition
- Optimal error estimates of coupled and divergence-free virtual element methods for the Poisson-Nernst-Planck/Navier-Stokes equations and applications in electrochemical systems
- Superconvergence analysis of finite element method for nonlinear semiconductor device problem
- Weak Galerkin Finite Element Methods for Parabolic Problems With $L^2$ Initial Data
- A stabilizer-free weak Galerkin finite element method for the Darcy-Stokes equations
This page was built for publication: Stabilizer-free weak Galerkin method and its optimal \(L^2\) error estimates for the time-dependent Poisson-Nernst-Planck problem