We consider an additive Vanka‐type smoother for the Poisson equation discretized by the
standard finite difference centered scheme. Using local Fourier analysis, we derive …

In this work, we propose three novel block-structured multigrid relaxation schemes based on
distributive relaxation, Braess–Sarazin relaxation, and Uzawa relaxation, for solving the …

In recent years, solvers for finite-element discretizations of linear or linearized saddle-point
problems, like the Stokes and Oseen equations, have become well established. There are …

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 …

In this paper, staggered discontinuous Galerkin (SDG) approximation for the Stokes problem
is developed in a 2D square domain. The square domain is discretized by using rectangular …

This work introduces and assesses the efficiency of a monolithic $ ph $ MG multigrid
framework designed for high-order discretizations of stationary Stokes systems using Taylor …

It is known (see, eg, SIAM J. Matrix Anal. Appl. 2014; 35 (1): 143‐173) that the performance
of iterative methods for solving the Stokes problem essentially depends on the quality of the …

Large linear systems of saddle-point type have arisen in a wide variety of applications
throughout computational science and engineering. The discretizations of distributed control …

Single-phase flows are attracting significant attention in Digital Rock Physics (DRP),
primarily for the computation of permeability of rock samples. Despite the active …

In this article, a multigrid solver for distributed optimal control problems governed by time-
independent Navier–Stokes equations is presented. A mixed (velocity–pressure) tracking …