The deal. II library, version 9.0

G Alzetta, D Arndt, W Bangerth, V Boddu… - Journal of Numerical …, 2018 - degruyter.com
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The deal. II library, version 8.5

D Arndt, W Bangerth, D Davydov, T Heister… - Journal of Numerical …, 2017 - degruyter.com
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The deal. II library, version 8.4

W Bangerth, D Davydov, T Heister, L Heltai… - Journal of Numerical …, 2016 - degruyter.com
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A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow

B Krank, N Fehn, WA Wall, M Kronbichler - Journal of Computational …, 2017 - Elsevier
We present an efficient discontinuous Galerkin scheme for simulation of the incompressible
Navier–Stokes equations including laminar and turbulent flow. We consider a semi-explicit …

Two Families of (div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension

T Arbogast, MR Correa - SIAM Journal on Numerical Analysis, 2016 - SIAM
We develop two families of mixed finite elements on quadrilateral meshes for approximating
(\mathbfu,p) solving a second order elliptic equation in mixed form. Standard Raviart …

A fast massively parallel two-phase flow solver for microfluidic chip simulation

M Kronbichler, A Diagne… - … International Journal of …, 2018 - journals.sagepub.com
This work presents a parallel finite element solver of incompressible two-phase flow
targeting large-scale simulations of three-dimensional dynamics in high-throughput …

Effective slip over partially filled microcavities and its possible failure

Z Ge, H Holmgren, M Kronbichler, L Brandt, G Kreiss - Physical Review Fluids, 2018 - APS
Motivated by the emerging applications of liquid-infused surfaces (LIS), we study the drag
reduction and robustness of transverse flows over two-dimensional microcavities partially …

Dipole excitation of surface plasmon on a conducting sheet: finite element approximation and validation

M Maier, D Margetis, M Luskin - Journal of Computational Physics, 2017 - Elsevier
We formulate and validate a finite element approach to the propagation of a slowly decaying
electromagnetic wave, called surface plasmon–polariton, excited along a conducting sheet …

[HTML][HTML] Geometric multigrid for darcy and brinkman models of flows in highly heterogeneous porous media: A numerical study

G Kanschat, R Lazarov, Y Mao - Journal of Computational and Applied …, 2017 - Elsevier
We apply geometric multigrid methods for the finite element approximation of flow problems
governed by Darcy and Brinkman systems used in modeling highly heterogeneous porous …

A moving grid finite element method applied to a mechanobiochemical model for 3D cell migration

L Murphy, A Madzvamuse - Applied Numerical Mathematics, 2020 - Elsevier
This work presents the development, analysis and numerical simulations of a biophysical
model for 3D cell deformation and movement, which couples biochemical reactions and …