16 citations · 51 across the 17 of their papers we have counts for
8 papers · 2 filters
Local Fourier analysis of Balancing Domain Decomposition by Constraints algorithms
Jed Brown, Yunhui He, Scott MacLachlan
Local Fourier analysis is a commonly used tool for the analysis of multigrid and other multilevel algorithms, providing both insight into observed convergence rates and predictive…
A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion
Scott P. MacLachlan, Niall Madden, Thái Anh Nhan
Motivated by a wide range of real-world problems whose solutions exhibit boundary and interior layers, the numerical analysis of discretizations of singularly perturbed differentia…
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…
Selective decay for the rotating shallow-water equations with a structure-preserving discretization
Rüdiger Brecht, Werner Bauer, Alexander Bihlo +2
Numerical models of weather and climate critically depend on long-term stability of integrators for systems of hyperbolic conservation laws. While such stability is often obtained…
Coarse-Grid Selection Using Simulated Annealing
Tareq. U. Zaman, Scott P. MacLachlan, Luke N. Olson +1
Multilevel techniques are efficient approaches for solving the large linear systems that arise from discretized partial differential equations and other problems. While geometric m…
A new mixed finite-element method for elliptic problems
Patrick E. Farrell, Abdalaziz Hamdan, Scott P. MacLachlan
Fourth-order differential equations play an important role in many applications in science and engineering. In this paper, we present a three-field mixed finite-element formulation…