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 …

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 …

Algebraic multigrid methods continue to grow in robustness as effective solvers for the large
and sparse linear systems of equations that arise in many applications. Unlike geometric …

We introduce spectral coarse spaces for the balanced domain decomposition and the finite
element tearing and interconnecting methods. These coarse spaces are specifically …

This paper describes a MATLAB/C++ finite element toolbox, called FELICITY, for simulating
various types of systems of partial differential equations (eg, coupled elliptic/parabolic …

We introduce a characterization of disclination lines in three dimensional nematic liquid
crystals as a tensor quantity related to the so called rotation vector around the line. This …

An exact kinematic law for the motion of disclination lines in nematic liquid crystals as a
function of the tensor order parameter Q is derived. Unlike other order parameter fields that …

We consider the simplest one-constant model, put forward by J. Ericksen, for nematic liquid
crystals with variable degree of orientation. The equilibrium state is described by a director …

This paper provides a unified and detailed presentation of root-node--style algebraic
multigrid (AMG). AMG is a popular and effective iterative method for solving large, sparse …

We present a numerical method, based on a tensor order parameter description of a nematic
phase, that allows fully anisotropic elasticity. Our method thus extends the Landau-de …