A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD
Numerical Analysis
2021-03-24 v2 Numerical Analysis
Abstract
A multigrid framework is described for multiphysics applications. The framework allows one to construct, adapt, and tailor a monolithic multigrid methodology to different linear systems coming from discretized partial differential equations. The main idea centers on developing multigrid components in a blocked fashion where each block corresponds to separate sets of physical unknowns and equations within the larger discretization matrix. Once defined, these components are ultimately assembled into a monolithic multigrid solver for the entire system. We demonstrate the potential of the framework by applying it to representative linear solution sub-problems arising from resistive MHD.
Cite
@article{arxiv.2103.07537,
title = {A Monolithic Algebraic Multigrid Framework for Multiphysics Applications with Examples from Resistive MHD},
author = {Peter Ohm and Tobias Wiesner and Eric C. Cyr and Jonathan J. Hu and John N. Shadid and Raymond S. Tuminaro},
journal= {arXiv preprint arXiv:2103.07537},
year = {2021}
}