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

A class of preconditioners based on balancing domain decomposition by constraints
methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc) …

An adaptive coarse space approach including a condition number bound for dual primal
finite element tearing and interconnecting (FETI-DP) methods applied to three dimensional …

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 …

An adaptive choice for primal spaces based on parallel sums is developed for BDDC deluxe
methods and elliptic problems in three dimensions. The primal space, which forms the …

The convergence rate of iterative substructuring methods generally deteriorates when large
discontinuities occur in the coefficients of the partial differential equations to be solved. In …

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 present a robust and efficient multigrid method for single-patch isogeometric
discretizations using tensor product B-splines of maximum smoothness. Our method is …