Solving PDEs with Intrepid

Authors:
P. Bochev;H. C. Edwards;R. C. Kirby;K. Peterson;D. Ridzal
Affiliations:
Department of Numerical Analysis and Applications, Sandia National Laboratories, Albuquerque, NM, USA;Department of Multiphysics Simulation Technologies, Sandia National Laboratories, Albuquerque, NM, USA;Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, USA;Department of Numerical Analysis and Applications, Sandia National Laboratories, Albuquerque, NM, USA;Optimization and Uncertainty Quantification Department, Sandia National Laboratories, Albuquerque, NM, USA
Venue:
Scientific Programming - A New Overview of the Trilinos Project --Part 1
Year:
2012

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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.