2021/03/12 by Ohm, Peter, Wiesner, Tobias, Cyr, Eric C. +3
#FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.2103.07537
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.