105 citations · 367 across the 9 of their papers we have counts for
9 papers
The PETSc Community Is the Infrastructure
Mark Adams, Satish Balay, Oana Marin +13
The communities who develop and support open source scientific software packages are crucial to the utility and success of such packages. Moreover, these communities form an import…
Retention of water in terrestrial magma oceans and carbon-rich early atmospheres
Dan J. Bower, Kaustubh Hakim, Paolo A. Sossi +1
Massive steam and CO atmospheres have been proposed for magma ocean outgassing of Earth and terrestrial planets. Yet formation of such atmospheres depends on volatile exchange…
Understanding performance variability in standard and pipelined parallel Krylov solvers
Hannah Morgan, Patrick Sanan, Matthew G. Knepley +1
In this work, we collect data from runs of Krylov subspace methods and pipelined Krylov algorithms in an effort to understand and model the impact of machine noise and other source…
Vertically resolved magma ocean-protoatmosphere evolution: H, HO, CO, CH, CO, O, and N as primary absorbers
Tim Lichtenberg, Dan J. Bower, Mark Hammond +4
The earliest atmospheres of rocky planets originate from extensive volatile release during magma ocean epochs that occur during assembly of the planet. These establish the initial…
Linking the evolution of terrestrial interiors and an early outgassed atmosphere to astrophysical observations
Dan J. Bower, Daniel Kitzmann, Aaron S. Wolf +3
A terrestrial planet is molten during formation and may remain so if subject to intense insolation or tidal forces. Observations continue to favour the detection and characterisati…
Numerical solution of a non-linear conservation law applicable to the interior dynamics of partially molten planets
Dan J. Bower, Patrick Sanan, Aaron S. Wolf
The energy balance of a partially molten rocky planet can be expressed as a non-linear diffusion equation using mixing length theory to quantify heat transport by both convection a…
Extreme-scale Multigrid Components within PETSc
Dave A. May, Patrick Sanan, Karl Rupp +2
Elliptic partial differential equations (PDEs) frequently arise in continuum descriptions of physical processes relevant to science and engineering. Multilevel preconditioners repr…
A Stochastic Performance Model for Pipelined Krylov Methods
Hannah Morgan, Matthew G. Knepley, Patrick Sanan +1
Pipelined Krylov methods seek to ameliorate the latency due to inner products necessary for projection by overlapping it with the computation associated with sparse matrix-vector m…
Pipelined, Flexible Krylov Subspace Methods
Patrick Sanan, Sascha M. Schnepp, Dave. A. May
We present variants of the Conjugate Gradient (CG), Conjugate Residual (CR), and Generalized Minimal Residual (GMRES) methods which are both pipelined and flexible. These allow com…