The bidomain equations are widely used for the simulation of electrical activity in cardiac
tissue. They are especially important for accurately modeling extracellular stimulation, as …

The past two decades have borne remarkable progress in our understanding of flow
mechanisms and numerical simulation approaches of shale gas reservoir, with much larger …

This paper provides an overview of AMG methods for solving large-scale systems of
equations, such as those from discretizations of partial differential equations. AMG is often …

We consider the iterative solution of large sparse symmetric positive definite linear systems.
We present an algebraic multigrid method which has a guaranteed convergence rate for the …

The coupling of flexible structures to incompressible fluids draws a lot of attention during the
last decade. Many different solution schemes have been proposed. In this contribution, we …

Algebraic multigrid (AMG) solves linear systems based on multigrid principles, but in a way
that only depends on the coefficients in the underlying matrix. The author begins with a basic …

In lattice quantum chromodynamics (QCD) computations a substantial amount of work is
spent in solving discretized versions of the Dirac equation. Conventional Krylov solvers …

We consider the iterative solution of large sparse linear systems arising from the upwind
finite difference discretization of convection-diffusion equations. The system matrix is then an …

A wide variety of multiscale methods have been proposed in the literature to reduce runtime
and provide better scaling for the solution of Poisson-type equations modeling flow in …

PyAMG is a Python package of algebraic multigrid (AMG) solvers and supporting tools for
approximating the solution to large, sparse linear systems of algebraic equations, Ax= b …