Publications

Pawlowski, Roger P.; Shadid, John N.; Phipps, Eric T.

Abstract not provided.

Phipps, Eric T.

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Pawlowski, Roger P.; Shadid, John N.; Phipps, Eric T.; Bartlett, Roscoe B.

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Phipps, Eric T.

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Bartlett, Roscoe B.; Phipps, Eric T.

Abstract not provided.

Salinger, Andrew G.; Phipps, Eric T.

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Phipps, Eric T.

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Salinger, Andrew G.; Dunlavy, Daniel D.; Phipps, Eric T.

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Hoekstra, Robert J.; Keiter, Eric R.; Phipps, Eric T.

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Phipps, Eric T.; Phipps, Eric T.

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Dunlavy, Daniel D.; Phipps, Eric T.

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Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Bartlett, Roscoe B.; Gay, David M.; Phipps, Eric T.

We discuss computing first derivatives for models based on elements, such as large-scale finite-element PDE discretizations, implemented in the C++ programming language. We use a hybrid technique of automatic differentiation (AD) and manual assembly, with local element-level derivatives computed via AD and manually summed into the global derivative. C++ templating and operator overloading work well for both forward- and reverse-mode derivative computations. We found that AD derivative computations compared favorably in time to finite differencing for a scalable finite-element discretization of a convection-diffusion problem in two dimensions. © Springer-Verlag Berlin Heidelberg 2006.

Phipps, Eric T.; Salinger, Andrew G.; Pawlowski, Roger P.

Abstract not provided.

Phipps, Eric T.

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Phipps, Eric T.

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Phipps, Eric T.; Salinger, Andrew G.; Day, David M.

Abstract not provided.

Pawlowski, Roger P.; Hooper, Russell H.; Kolda, Tamara G.; Phipps, Eric T.; Bader, Brett W.; Salinger, Andrew G.

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Phipps, Eric T.

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Heroux, Michael A.; Kolda, Tamara G.; Long, Kevin R.; Hoekstra, Robert J.; Pawlowski, Roger P.; Phipps, Eric T.; Salinger, Andrew G.; Williams, Alan B.; Heroux, Michael A.; Hu, Jonathan J.; Lehoucq, Richard B.; Thornquist, Heidi K.; Tuminaro, Raymond S.; Willenbring, James M.; Bartlett, Roscoe B.; Howle, Victoria E.

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 algorithms and libraries within an object-oriented software framework for the solution of large-scale, complex multi-physics engineering and scientific applications. Our emphasis is on developing robust, scalable algorithms in a software framework, using abstract interfaces for flexible interoperability of components while providing a full-featured set of concrete classes that implement all abstract interfaces. Trilinos uses a two-level software structure designed around collections of packages. A Trilinos package is an integral unit usually developed by a small team of experts in a particular algorithms area such as algebraic preconditioners, nonlinear solvers, etc. Packages exist underneath the Trilinos top level, which provides a common look-and-feel, including configuration, documentation, licensing, and bug-tracking. Trilinos packages are primarily written in C++, but provide some C and Fortran user interface support. We provide an open architecture that allows easy integration with other solver packages and we deliver our software to the outside community via the Gnu Lesser General Public License (LGPL). This report provides an overview of Trilinos, discussing the objectives, history, current development and future plans of the project.