128 citations · 223 across the 15 of their papers we have counts for
4 papers · 1 filter
On the validity of the local Fourier analysis
Carmen Rodrigo, Francisco J. Gaspar, Ludmil T. Zikatanov
Local Fourier analysis (LFA) is a useful tool in predicting the convergence factors of geometric multigrid methods (GMG). As is well known, on rectangular domains with periodic bou…
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…
Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation
Xiaozhe Hu, Carmen Rodrigo, Francisco J. Gaspar
This work deals with the efficient numerical solution of the time-fractional heat equation discretized on non-uniform temporal meshes. Non-uniform grids are essential to capture th…
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…