Multigrid for High-Dimensional Elliptic Equations

This paper discusses multigrid for high dimensional partial differential equations (PDEs). We present partial grid-coarsening strategies for excellent multigrid convergence in the context of elliptic PDEs. We show that the multigrid convergence rate can satisfactorily be brought down with the grid strategies proposed herein, coupled with...

On a decoupled algorithm for poroelasticity and its resolution by multigrid

In this work, we present a robust and efficient multigrid solver for a reformulated version of the system of poroelasticity equations. The reformulation enables us to treat the system in a decoupled fashion. It is sufficient to choose a highly efficient multigrid method for a scalar Poisson type equation for the overall solution of this...

Improving multigrid for 3-D electro-magnetic diffusion on stretched grids

We evaluated multigrid techniques for 3D diffusive electromagnetism. The Maxwell equations and Ohm's law were discretised on stretched grids, with stretching in all coordinate directions. We compared standard multigrid to alternative multigrid approaches with linewise smoothing and semi-coarsening, both as a stand-alone solver and as a...