Search Results - "Barker, Andrew T."
-
1
Matrix‐free preconditioning for high‐order H(curl) discretizations
Published in Numerical linear algebra with applications (01-03-2021)“…The greater arithmetic intensity of high‐order finite element discretizations makes them attractive for implementation on next‐generation hardware, but…”
Get full text
Journal Article -
2
Algebraic multigrid preconditioning of the Hessian in optimization constrained by a partial differential equation
Published in Numerical linear algebra with applications (01-01-2021)“…Summary We construct an algebraic multigrid (AMG) based preconditioner for the reduced Hessian of a linear‐quadratic optimization problem constrained by an…”
Get full text
Journal Article -
3
Scalable parallel methods for monolithic coupling in fluid–structure interaction with application to blood flow modeling
Published in Journal of computational physics (01-02-2010)“…We introduce and study numerically a scalable parallel finite element solver for the simulation of blood flow in compliant arteries. The incompressible…”
Get full text
Journal Article -
4
Simultaneous material, shape and topology optimization
Published in Computer methods in applied mechanics and engineering (01-11-2020)“…Using three design fields we develop an optimization environment that can simultaneously optimize material, shape and topology. We use the implicit…”
Get full text
Journal Article -
5
Preconditioning a Newton-Krylov solver for all-speed melt pool flow physics
Published in Journal of computational physics (15-11-2019)“…In this paper, we introduce a multigrid block-based preconditioner for solving linear systems arising from a Discontinuous Galerkin discretization of the…”
Get full text
Journal Article -
6
A minimal communication approach to parallel time integration
Published in International journal of computer mathematics (04-03-2014)“…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…”
Get full text
Journal Article -
7
A Mixed Finite Element Method for the Stokes Equations Based on a Weakly Over-Penalized Symmetric Interior Penalty Approach
Published in Journal of scientific computing (01-02-2014)“…We present a mixed finite element method for the steady-state Stokes equations where the discrete bilinear form for the velocity is obtained by a weakly…”
Get full text
Journal Article -
8
Houses, a chip factory, anything really in place of Portland's Hillsboro Airport
Published in New Atlantis (Washington, D.C.) (01-10-2024)Get full text
Journal Article -
9
Evolutionary Stability in the Traveler's Dilemma
Published in The College mathematics journal (01-01-2009)“…The traveler's dilemma is a generalization of the prisoner's dilemma which shows clearly a paradox of game theory. In the traveler's dilemma, the strategy…”
Get full text
Journal Article -
10
Domain decomposition in time for PDE-constrained optimization
Published in Computer physics communications (01-12-2015)“…PDE-constrained optimization problems have a wide range of applications, but they lead to very large and ill-conditioned linear systems, especially if the…”
Get full text
Journal Article -
11
Matrix‐free preconditioning for high‐order H (curl) discretizations
Published in Numerical linear algebra with applications (09-11-2020)Get full text
Journal Article -
12
Matrix-free preconditioning for high-order H(curl) discretizations
Published in Numerical linear algebra with applications (09-11-2020)“…The greater arithmetic intensity of high-order finite element discretizations makes them attractive for implementation on next-generation hardware, but…”
Get full text
Journal Article -
13
Algebraic multigrid preconditioning of the Hessian in optimization constrained by a partial differential equation
Published in Numerical linear algebra with applications (15-09-2020)“…Summary We construct an algebraic multigrid (AMG) based preconditioner for the reduced Hessian of a linear‐quadratic optimization problem constrained by an…”
Get full text
Journal Article -
14
A Fast Solver for an H1 Regularized PDE-Constrained Optimization Problem
Published in Communications in computational physics (15-01-2016)“…In this paper we consider PDE-constrained optimization problems which incorporate an H1 regularization control term. We focus on a time-dependent PDE, and…”
Get full text
Journal Article -
15
A Fast Solver for an H 1 Regularized PDE-Constrained Optimization Problem
Published in Communications in computational physics (01-01-2016)“…Abstract In this paper we consider PDE-constrained optimization problems which incorporate an H 1 regularization control term. We focus on a time-dependent…”
Get full text
Journal Article -
16
Recombinant human CD40 ligand inhibits simian immunodeficiency virus replication: A role for interleukin-16
Published in Journal of medical primatology (01-08-1999)“…: CD40 ligand (CD40L), expressed on activated T cells, binds its receptor, CD40, on dendritic cells, B cells, and monocytes/macrophages. Human immunodeficiency…”
Get full text
Journal Article -
17
Evolutionary Stability in the Traveler's Dilemma
Published in The College mathematics journal (01-01-2009)Get full text
Journal Article -
18
Algebraic multigrid preconditioning of the Hessian in PDE-constrained optimization
Published 30-01-2020“…We construct an algebraic multigrid (AMG) based preconditioner for the reduced Hessian of a linear-quadratic optimization problem constrained by an elliptic…”
Get full text
Journal Article -
19
A minimal communication approach to parallel time integration
Published 24-04-2013“…Int. J. Comput. Math. 91 (2014) pp. 601-615 We explore an approach due to Nievergelt of decomposing a time-evolution equation along the time dimension and…”
Get full text
Journal Article -
20
Multilevel spectral coarsening for graph Laplacian problems with application to reservoir simulation
Published 09-03-2020“…We extend previously developed two-level coarsening procedures for graph Laplacian problems written in a mixed saddle point form to the fully recursive…”
Get full text
Journal Article