84 citations · 91 across the 5 of their papers we have counts for
5 papers
Monolithic multigrid for a reduced-quadrature discretization of poroelasticity
James H. Adler, Yunhui He, Xiaozhe Hu +2
Advanced finite-element discretizations and preconditioners for models of poroelasticity have attracted significant attention in recent years. The equations of poroelasticity offer…
Non-invasive multigrid for semi-structured grids
Matthias Mayr, Luc Berger-Vergiat, Peter Ohm +1
Multigrid solvers for hierarchical hybrid grids (HHG) have been proposed to promote the efficient utilization of high performance computer architectures. These HHG meshes are const…
A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD
Peter Ohm, Tobias Wiesner, Eric C. Cyr +3
A multigrid framework is described for multiphysics applications. The framework allows one to construct, adapt, and tailor a monolithic multigrid methodology to different linear sy…
Robust preconditioners for a new stabilized discretization of the poroelastic equations
James H. Adler, Francisco J. Gaspar, Xiaozhe Hu +3
In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed in [45]. The discretization is proved to be well-posed with r…
New stabilized discretizations for poroelasticity and the Stokes' equations
Carmen Rodrigo, Xiaozhe Hu, Peter Ohm +3
In this work, we consider the popular P1-RT0-P0 discretization of the three-field formulation of Biot's consolidation problem. Since this finite-element formulation does not satisf…