Adaptive finite elements with large aspect ratio for mass transport in electroosmosis and pressure-driven microflows
DOI10.1002/fld.2110zbMath1267.76064OpenAlexW1996608276MaRDI QIDQ3579840
Virabouth Prachittham, Martin A. M. Gijs, Marco Picasso
Publication date: 11 August 2010
Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/fld.2110
finite elementsa posteriori error estimationmicrofluidicselectroosmotic flowanisotropic mesh adaptationelectrokinetic injection techniquespressure-driven microflow
Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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- An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- Anisotropic error estimates for elliptic problems
- Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes
- An a posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes
- Theory and practice of finite elements.
- Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives
- An adaptive algorithm for the Stokes problem using continuous, piecewise linear stabilized finite elements and meshes with high aspect ratio
- Simulation and design of extraction and separation fluidic devices
- An Anisotropic Error Estimator for the Crank–Nicolson Method: Application to a Parabolic Problem
- A simple error estimator and adaptive procedure for practical engineerng analysis
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- An Anisotropic Error Indicator Based on Zienkiewicz--Zhu Error Estimator: Application to Elliptic and Parabolic Problems
- Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
- New anisotropic a priori estimates
