Subsurface flow simulation is vital for many geoscience applications, including geoenergy
extraction and gas (energy) storage. Reservoirs are often highly heterogeneous and …

The Poisson pressure solve resulting from the spectral element discretization of the
incompressible Navier-Stokes equation requires fast, robust, and scalable preconditioning …

This article presents a two-grid approach for developing a black-box iterative solver for a
large class of real-life problems in continuum mechanics (heat and mass transfer, fluid …

Sparse matrix representations are ubiquitous in computational science and machine
learning, leading to significant reductions in compute time, in comparison to dense …

We present new methods for solving a broad class of bound-constrained nonsmooth
composite minimization problems. These methods are specially designed for objectives that …

For many systems of linear equations that arise from the discretization of partial differential
equations, the construction of an efficient multigrid solver is challenging. Here we present …

A well‐known strategy for building effective preconditioners for higher‐order discretizations
of some PDEs, such as Poisson's equation, is to leverage effective preconditioners for their …

Advanced finite-element discretizations and preconditioners for models of poroelasticity
have attracted significant attention in recent years. The equations of poroelasticity offer …

Multigrid methods are popular for solving linear systems derived from discretizing PDEs.
Local Fourier analysis (LFA) is a technique for investigating and tuning multigrid methods. P …

In this paper, we investigate a novel monolithic algebraic multigrid solver for the discrete
Stokes problem discretized with stable mixed finite elements. The algorithm is based on the …