Solving PDEs with Intrepid

Bochev, P.; Edwards, H.C.; Kirby, R.C.; Peterson, K.; Ridzal, D.

doi:https://doi.org/10.3233/SPR-2012-0340

Scientific Programming

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A New Overview of the Trilinos Project – Part 1

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Volume 20 |Article ID 403902 | https://doi.org/10.3233/SPR-2012-0340

P. Bochev, H.C. Edwards, R.C. Kirby, K. Peterson, D. Ridzal, "Solving PDEs with Intrepid", Scientific Programming, vol. 20, Article ID 403902, 30 pages, 2012. https://doi.org/10.3233/SPR-2012-0340

Solving PDEs with Intrepid

P. Bochev,¹ H.C. Edwards,² R.C. Kirby,³ K. Peterson,¹ and D. Ridzal⁴

¹Department of Numerical Analysis and Applications, Sandia National Laboratories, Albuquerque, NM, USA

²Department of Multiphysics Simulation Technologies, Sandia National Laboratories, Albuquerque, NM, USA

³Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA

⁴Optimization and Uncertainty Quantification Department, Sandia National Laboratories, Albuquerque, NM, USA

Abstract

Intrepid is a Trilinos package for advanced discretizations of Partial Differential Equations (PDEs). The package provides a comprehensive set of tools for local, cell-based construction of a wide range of numerical methods for PDEs. This paper describes the mathematical ideas and software design principles incorporated in the package. We also provide representative examples showcasing the use of Intrepid both in the context of numerical PDEs and the more general context of data analysis.

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Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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