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pro vyhledávání: '"Barker, Andrew T."'
Autor:
Barker, Andrew T.
Publikováno v:
The New Atlantis, 2024 Oct 01(78), 95-97.
Externí odkaz:
https://www.jstor.org/stable/27332606
Multilevel spectral coarsening for graph Laplacian problems with application to reservoir simulation
Autor:
Barker, Andrew T., Gelever, Stephan V., Lee, Chak S., Osborn, Sarah V., Vassilevski, Panayot S.
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 resulting hierarchy of discretizations gives rise to a hierarchy of upscaled
Externí odkaz:
http://arxiv.org/abs/2003.04423
Autor:
Barker, Andrew T., Draganescu, Andrei
We construct an algebraic multigrid (AMG) based preconditioner for the reduced Hessian of a linear-quadratic optimization problem constrained by an elliptic partial differential equation. While the preconditioner generalizes a geometric multigrid pre
Externí odkaz:
http://arxiv.org/abs/2001.11533
Publikováno v:
SIAM Journal on Scientific Computing, Volume 40, Issue 2, pp. A1187-A1203, 2018
We show how a scalable preconditioner for the primal discontinuous Petrov-Galerkin (DPG) method can be developed using existing algebraic multigrid (AMG) preconditioning techniques. The stability of the DPG method gives a norm equivalence which allow
Externí odkaz:
http://arxiv.org/abs/1612.00838
Parallel monolithic fluid-structure interaction algorithms with application to blood flow simulation
Autor:
Barker, Andrew T.
Thesis (Ph.D.)--University of Colorado at Boulder, 2009.
Source: Dissertation Abstracts International, Volume: 70-04, Section: B, page: 2333. Adviser: Xiao-Chuan Cai.
Source: Dissertation Abstracts International, Volume: 70-04, Section: B, page: 2333. Adviser: Xiao-Chuan Cai.
Autor:
Fernandez, Felipe, Barker, Andrew T., Kudo, Jun, Lewicki, James P., Swartz, Kenneth, Tortorelli, Daniel A., Watts, Seth, White, Daniel A., Wong, Jonathan
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 November 2020 371
Autor:
Barker, Andrew T.
Publikováno v:
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 solving it in parallel with as little communication as possible between the processors. This method computes a map from initial conditions
Externí odkaz:
http://arxiv.org/abs/1304.6514
Discontinuous Petrov-Galerkin (DPG) methods are new discontinuous Galerkin methods with interesting properties. In this article we consider a domain decomposition preconditioner for a DPG method for the Poisson problem.
Externí odkaz:
http://arxiv.org/abs/1212.2645
Publikováno v:
In Journal of Computational Physics 15 November 2019 397
We present and analyze a class of nonsymmetric preconditioners within a normal (weighted least-squares) matrix form for use in GMRES to solve nonsymmetric matrix problems that typically arise in finite element discretizations. An example of the addit
Externí odkaz:
http://arxiv.org/abs/1208.4544