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 …

Efficient exploitation of exascale architectures requires rethinking of the numerical
algorithms used in many large-scale applications. These architectures favor algorithms that …

We present PetIGA, a code framework to approximate the solution of partial differential
equations using isogeometric analysis. PetIGA can be used to assemble matrices and …

In this theoretical study, we explore how to automate the selection of weights and primal
constraints in BDDC methods for general SPD problems. In particular, we address the three …

Effective relaxation methods are necessary for good multigrid convergence. For many
equations, standard Jacobi and Gauß–Seidel are inadequate, and more sophisticated …

A BDDC domain decomposition preconditioner is defined by a coarse component,
expressed in terms of primal constraints, a weighted average across the interface between …

Isogeometric analysis has been introduced as an alternative to finite element methods in
order to simplify the integration of computer-aided design (CAD) software and the …

We introduce and study some scalable domain decomposition preconditioners for cardiac
electro-mechanical 3D simulations on parallel HPC (High Performance Computing) …

FEMPAR is an open source object oriented Fortran200X scientific software library for the
high-performance scalable simulation of complex multiphysics problems governed by partial …

Domain decomposition methods are robust and parallel scalable, preconditioned iterative
algorithms for the solution of the large linear systems arising in the discretization of elliptic …