3 citations · 3 across the 8 of their papers we have counts for
8 papers
On the Spectral Clustering in Algebraic Multigrid Methods
Jose Pablo Lucero Lorca, Conor McCoid, Michal Outrata
We introduce a new direct multilevel method for solving arbitrary complex square linear systems that uses a regular smoother and an arbitrary but equal number of pre- and post-smoo…
Towards a Multigrid Preconditioner Interpretation of Hierarchical Poincaré-Steklov Solvers
J. P. Lucero Lorca
We revisit the Hierarchical Poincaré-Steklov (HPS) method in a preconditioned iterative setting for variable-coefficient Helmholtz problems with impedance boundary conditions. HPS…
Towards modular Hierarchical Poincaré-Steklov solvers
Michal Outrata, José Pablo Lucero Lorca
We revisit the Hierarchical Poincaré-Steklov (HPS) method for the Poisson equation using standard Q1 finite elements, building on the original in work on HPS of Martinsson from 201…
On an efficient line smoother for the p-multigrid γ-cycle
José Pablo Lucero Lorca, Duane Rosenberg, Isidora Jankov +2
As part of the development of a Poisson solver for the spectral element discretization used in the GeoFluid Object Workbench (GeoFLOW) code, we propose a solver for the linear syst…
An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems
José Pablo Lucero Lorca, Natalie Beams, Damien Beecroft +1
This manuscript presents an efficient solver for the linear system that arises from the Hierarchical Poincaré-Steklov (HPS) discretization of three dimensional variable coefficient…
Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators?
Jose Pablo Lucero Lorca, Martin Jakob Gander
Multi-level preconditioners for Discontinuous Galerkin (DG) discretizations are widely used to solve elliptic equations, and a main ingredient of such solvers is the interpolation…
Optimization of two-level methods for DG discretizations of reaction-diffusion equations
José Pablo Lucero Lorca, Martin Jakob Gander
We analyze and optimize two-level methods applied to a symmetric interior penalty discontinuous Galerkin finite element discretization of a singularly perturbed reaction-diffusion…
Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems
Jose Pablo Lucero Lorca, Guido Kanschat
We present robust and highly parallel multilevel non-overlapping Schwarz preconditioners, to solve an interior penalty discontinuous Galerkin finite element discretization of a sys…