MFEM is an open-source, lightweight, flexible and scalable C++ library for modular finite
element methods that features arbitrary high-order finite element meshes and spaces …

We propose and analyze several multilevel algorithms for the fast simulation of possibly
nonstationary Gaussian random fields (GRFs) indexed, for example, by the closure of a …

Models are used to explain and predict phenomena of interest. These can be as simple as
the exponential function to explain the rate of growth of bacteria [179]. The mathematical …

We consider the reaction diffusion problem and present efficient ways to discretize and
precondition in the singular perturbed case when the reaction term dominates the equation …

We present the lowest-order hybridizable discontinuous Galerkin schemes with numerical
integration (quadrature), denoted as HDG-P0 for the reaction-diffusion equation and the …

The equations of magnetohydrodynamics (MHD) model the interaction of conducting fluids
with electromagnetic fields, and provide the mathematical description of problems arising in …

We present the lowest-order hybridizable discontinuous Galerkin schemes with numerical
integration (quadrature), denoted as HDG-P0, for the reaction-diffusion equation and the …

We propose a family of preconditioners for linear systems of equations arising from a
piecewise polynomial symmetric interior penalty discontinuous Galerkin discretization of H …

1.1 Background In the realm of numerical analysis and computational mathematics, the
Finite Element Method (FEM) has garnered substantial attention and research efforts. FEM …

We present new results on both saddle point least-squares and Petrov-Galerkin methods
applied to reaction-diffusion and convection-diffusion equations. In the reaction-diffusion …