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- Michael A. Heroux, Roscoe A. Bartlett, +13 authors Kendall S. Stanley
- ACM Trans. Math. Softw.
- 2005

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… (More)

- Eric T. Phipps, Roger P. Pawlowski
- ArXiv
- 2012

Expression templates are a well-known set of techniques for imp oving the efficiency of operator overloading-based forward mode a utomatic differentiation schemes in the C++ programming language by… (More)

Stability analysis algorithms coupled with a robust Newton-Krylov steady state iterative solver are used to understand the behavior of the 2D model problem of thermal convection in a 8:1… (More)

- Roger P. Pawlowski, John N. Shadid, Joseph P. Simonis, Homer F. Walker
- SIAM Review
- 2006

A Newton–Krylov method is an implementation of Newton’s method in which a Krylov subspace method is used to solve approximately the linear subproblems that determine Newton steps. To enhance… (More)

Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods

- John N. Shadid, Roger P. Pawlowski, Jeffrey W. Banks, Luis Chacón, Paul T. Lin, Ray S. Tuminaro
- J. Comput. Physics
- 2010

This paper explores the development of a scalable, nonlinear, fully-implicit stabilized unstructured finite element (FE) capability for 2D incompressible (reduced) resistive MHD. The discussion… (More)

- Michael Heroux, Roscoe A. Bartlett, +12 authors A. Williams
- 2003

The Trilinos Project is an effort to facilitate the design, development, integration and ongoing support of mathematical software libraries. In particular, our goal is to develop parallel solver… (More)

- Andrew G. Salinger, E. A. Burroughs, Roger P. Pawlowski, Eric T. Phipps, Louis A. Romero
- I. J. Bifurcation and Chaos
- 2005

We present the set of bifurcation tracking algorithms which have been developed in the LOCA software library to work with large scale application codes that use fully coupled Newton’s method with… (More)

- Roger P. Pawlowski, Eric T. Phipps, Andrew G. Salinger
- Scientific Programming
- 2012

An approach for incorporating embedded simulation and analysis capabilities in complex simulation codes through template-based generic programming is presented. This approach relies on templating and… (More)

- David E. Keyes, Lois C. McInnes, +42 authors Barbara I. Wohlmuth
- IJHPCA
- 2013

We consider multiphysics applications from algorithmic and architectural perspectives, where “algorithmic” includes both mathematical analysis and computational complexity and “architectural”… (More)

- Roger P. Pawlowski, Eric T. Phipps, Andrew G. Salinger, Steven J. Owen, Christopher M. Siefert, Matthew L. Staten
- Scientific Programming
- 2012

A template-based generic programming approach was presented in a previous paper [19] that separates the development effort of programming a physical model from that of computing additional… (More)