21 citations · 70 across the 19 of their papers we have counts for
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A monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction model
Guosheng Fu, Wenzheng Kuang
We present a novel monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction (FSI) problem with a thick structure. A pressure-robust optimal energy-norm…
Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term
Guosheng Fu
The auxiliary space preconditioning (ASP) technique is applied to the HDG schemes for three different elliptic problems with a parameter dependent low order term, namely, a symmetr…
POD-(H)DG Method for Incompressible Flow Simulations
Guosheng Fu, Zhu Wang
We present a reduced order method (ROM) based on proper orthogonal decomposition (POD) for the viscous Burgers' equation and the incompressible Navier-Stokes equations discretized…
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow
Guosheng Fu
We construct a divergence-free HDG scheme for the Cahn-Hilliard-Navier-Stokes phase field model. The scheme is robust in the convection-dominated regime, produce a globally diverge…
Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity
Guosheng Fu, Christoph Lehrenfeld, Alexander Linke +1
Robust discretization methods for (nearly-incompressible) linear elasticity are free of volume-locking and gradient-robust. While volume-locking is a well-known problem that can be…