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 Victoria E Howle

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Average citations per article26.13
Citation Count209
Publication count8
Publication years2001-2008
Available for download1
Average downloads per article1,107.00
Downloads (cumulative)1,107
Downloads (12 Months)76
Downloads (6 Weeks)3
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January 2008 Journal of Computational Physics: Volume 227 Issue 3, January, 2008
Publisher: Academic Press Professional, Inc.
Citation Count: 16

In recent years, considerable effort has been placed on developing efficient and robust solution algorithms for the incompressible Navier-Stokes equations based on preconditioned Krylov methods. These include physics-based methods, such as SIMPLE, and purely algebraic preconditioners based on the approximation of the Schur complement. All these techniques can be represented ...
Keywords: Incompressible flow, Iterative methods, Navier-Stokes

December 2007 SIAM Journal on Scientific Computing: Volume 30 Issue 1, November 2007
Publisher: Society for Industrial and Applied Mathematics
Citation Count: 3

This paper introduces two stabilization schemes for the least squares commutator (LSC) preconditioner developed by Elman, Howle, Shadid, Shuttleworth, and Tuminaro [ SIAM J. Sci. Comput. , 27 (2006), pp. 1651-1668] for the incompressible Navier-Stokes equations. This preconditioning methodology is one of several choices that are effective for Navier-Stokes equations, ...
Keywords: preconditioning, Navier-Stokes, iterative algorithms

November 2005 SIAM Journal on Scientific Computing: Volume 27 Issue 5, 2006
Publisher: Society for Industrial and Applied Mathematics
Citation Count: 17

This paper introduces a strategy for automatically generating a block preconditioner for solving the incompressible Navier--Stokes equations. We consider the "pressure convection--diffusion preconditioners" proposed by Kay, Loghin, and Wathen [ SIAM J. Sci. Comput. , 24 (2002), pp. 237-256] and Silvester, Elman, Kay, and Wathen [ J. Comput. Appl. Math. ...
Keywords: Navier--Stokes, iterative algorithms, preconditioning

4 published by ACM
September 2005 ACM Transactions on Mathematical Software (TOMS) - Special issue on the Advanced CompuTational Software (ACTS) Collection: Volume 31 Issue 3, September 2005
Publisher: ACM
Citation Count: 156
Downloads (6 Weeks): 3,   Downloads (12 Months): 76,   Downloads (Overall): 1,107

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The Trilinos Project is an effort to facilitate the design, development, integration, and ongoing support of mathematical software libraries within an object-oriented framework for the solution of large-scale, complex multiphysics engineering and scientific problems. Trilinos addresses two fundamental issues of developing software for these problems: (i) providing a streamlined process ...
Keywords: Software framework, interfaces, Software Quality Engineering

April 2005 SIAM Journal on Matrix Analysis and Applications: Volume 26 Issue 4, 2005
Publisher: Society for Industrial and Applied Mathematics
Citation Count: 3

We propose an iterative method for solving a complex-symmetric linear system arising in electric power networks. Our method extends Gremban, Miller, and Zagha's [in Proceedings of the International Parallel Processing Symposium , IEEE Computer Society, Los Alamitos, CA, 1995] support-tree preconditioner to handle complex weights and vastly different admittances. Our ...
Keywords: complex-symmetric systems, iterative methods, preconditioning, support-tree preconditioning, electrical power networks

May 2003 Journal of Computational Physics: Volume 187 Issue 2, 20 May 2003
Publisher: Academic Press Professional, Inc.
Citation Count: 13

The development of robust and efficient algorithms for both steady-state simulations and fully implicit time integration of the Navier-Stokes equations is an active research topic. To be effective, the linear subproblems generated by these methods require solution techniques that exhibit robust and rapid convergence. In particular, they should be insensitive ...
Keywords: Navier-Stokes, approximate block factorization, convention-diffusion operator, multi-level, approximate Schur complement, preconditioner, algebraic multigrid

October 2001 Journal of Computational and Applied Mathematics: Volume 135 Issue 1, October 2001
Publisher: Elsevier Science Publishers B. V.
Citation Count: 0

Keywords: eigenvalues, drum, bell, musical instruments, normal modes, recorder

January 2001
Citation Count: 0

We propose two methods in this thesis: an iterative method for solving a complex-symmetric linear system arising in electric power networks, and a method for numerical solution of the swing equations. The swing equations are a system of differential-algebraic equations (DAE) used to determine transient stability of electrical power networks. ...

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