3 papers
math.NA2020
Multilevel spectral coarsening for graph Laplacian problems with application to reservoir simulation
Andrew T. Barker, Stephan V. Gelever, Chak S. Lee +2
We extend previously developed two-level coarsening procedures for graph Laplacian problems written in a mixed saddle point form to the fully recursive multilevel case. The resulti…
math.NA2020
Algebraic multigrid preconditioning of the Hessian in PDE-constrained optimization
Andrew T. Barker, Andrei Draganescu
We construct an algebraic multigrid (AMG) based preconditioner for the reduced Hessian of a linear-quadratic optimization problem constrained by an elliptic partial differential eq…
cs.MS2019
MFEM: a modular finite element methods library
Robert Anderson, Julian Andrej, Andrew Barker +13
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, suppo…