456 citations · 461 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
A scalable preconditioner for a DPG method
Andrew T. Barker, Veselin Dobrev, Jay Gopalakrishnan +1
We show how a scalable preconditioner for the primal discontinuous Petrov-Galerkin (DPG) method can be developed using existing algebraic multigrid (AMG) preconditioning techniques…
A minimal communication approach to parallel time integration
Andrew T. Barker
We explore an approach due to Nievergelt of decomposing a time-evolution equation along the time dimension and solving it in parallel with as little communication as possible betwe…
A One-level Additive Schwarz Preconditioner for a Discontinuous Petrov-Galerkin Method
Andrew T. Barker, Susanne C. Brenner, Eun-Hee Park +1
Discontinuous Petrov-Galerkin (DPG) methods are new discontinuous Galerkin methods with interesting properties. In this article we consider a domain decomposition preconditioner fo…