The computational solution of problems can be restricted by the availability of solution
methods for linear (ized) systems of equations. In conjunction with iterative methods …

When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

This book is the first monograph providing an introduction to and an overview of numerical
methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations …

The variational approach to fracture is effective for simulating the nucleation and
propagation of complex crack patterns but is computationally demanding. The model is a …

Biot's consolidation model in poroelasticity has a number of applications in science,
medicine, and engineering. The model depends on various parameters, and in practical …

We propose a finite element method for the three-dimensional transient incompressible
magnetohydrodynamic equations that ensures exactly divergence-free approximations of …

In [M. Benzi and MA Olshanskii, SIAM J. Sci. Comput., 28 (2006), pp. 2095--2113] a
preconditioner of augmented Lagrangian type was presented for the two-dimensional …

In this paper, we study a mathematical model of cardiac tissue based on explicit
representation of individual cells. In this EMI model, the extracellular (E) space, the cell …

Systems of linear algebraic equations are ubiquitous in mathematical modeling and
scientific computing, and iterative methods are indispensable for the numerical treatment of …

This paper is devoted to the stability analysis of a classical three-field formulation of Biot's
consolidation model where the unknown variables are the displacements, fluid flux (Darcy …