Adaptive and iterative methods for simulations of nanopores with the PNP-Stokes equations
From MaRDI portal
Publication:2424486
DOI10.1016/j.jcp.2017.02.072zbMath1415.65262arXiv1608.05313OpenAlexW2515055972MaRDI QIDQ2424486
Gerhard Tulzer, Gregor Mitscha-Baude, Andreas Buttinger-Kreuzhuber, Clemens Heitzinger
Publication date: 24 June 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.05313
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05) Statistical mechanics of nanostructures and nanoparticles (82D80)
Related Items (2)
New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces ⋮ Transient electrohydrodynamic flow with concentration-dependent fluid properties: modelling and energy-stable numerical schemes
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Axioms of adaptivity
- A transport equation for confined structures derived from the Boltzmann equation
- Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without \(h\)-weighting factor
- Energetically stable discretizations for charge transport and electrokinetic models
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes. I: Finite element solutions
- An Abstract Analysis of Optimal Goal-Oriented Adaptivity
- Automated Goal-Oriented Error Control I: Stationary Variational Problems
- Preconditioning discretizations of systems of partial differential equations
- An optimal control approach to a posteriori error estimation in finite element methods
- Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- On the Effectiveness of Gummel’s Method
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Variational Multiscale Models for Charge Transport
- A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
- Stochastic Problems in Physics and Astronomy
This page was built for publication: Adaptive and iterative methods for simulations of nanopores with the PNP-Stokes equations