84 citations · 117 across the 17 of their papers we have counts for
4 papers · 1 filter
Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach
J. H. Adler, I. Lashuk, S. P. MacLachlan +1
This paper analyzes the discrete energy laws associated with first-order system least-squares (FOSLS) discretizations of time-dependent partial differential equations. Using the he…
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…
Computing equilibrium states of cholesteric liquid crystals in elliptical channels with deflation algorithms
David B. Emerson, Patrick E. Farrell, James H. Adler +2
We study the problem of a cholesteric liquid crystal confined to an elliptical channel. The system is geometrically frustrated because the cholesteric prefers to adopt a uniform ra…
Robust Block Preconditioners for Biot's Model
James H. Adler, Francisco J. Gaspar, Xiaozhe Hu +2
In this paper, we design robust and efficient block preconditioners for the two-field formulation of Biot's consolidation model, where stabilized finite-element discretizations are…