Solving PDEs with Intrepid

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

doi:10.1155/2012/403902

Title: Solving PDEs with Intrepid

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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.

Authors:

Bochev, P. ^[1]; Edwards, H. C. ^[2]; Kirby, R. C. ^[3]; Peterson, K. ^[1]; Ridzal, D. ^[4]

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

Publication Date:: Sun Jan 01 00:00:00 EST 2012

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1197985

Resource Type:: Published Article

Journal Name:: Scientific Programming

Additional Journal Information:: Journal Name: Scientific Programming Journal Volume: 20 Journal Issue: 2; Journal ID: ISSN 1058-9244

Publisher:: Hindawi Publishing Corporation

Country of Publication:: Egypt

Language:: English

Citation Formats


                    Bochev, P., Edwards, H. C., Kirby, R. C., Peterson, K., and Ridzal, D. Solving PDEs with Intrepid.  Egypt: N. p., 2012. 
Web.  doi:10.1155/2012/403902.

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                    Bochev, P., Edwards, H. C., Kirby, R. C., Peterson, K., & Ridzal, D. Solving PDEs with Intrepid.  Egypt.  https://doi.org/10.1155/2012/403902

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                    Bochev, P., Edwards, H. C., Kirby, R. C., Peterson, K., and Ridzal, D. Sun .  
"Solving PDEs with Intrepid".  Egypt.  https://doi.org/10.1155/2012/403902.

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@article{osti_1197985,

  title        = {Solving PDEs with Intrepid},

  author       = {Bochev, P. and Edwards, H. C. and Kirby, R. C. and Peterson, K. and Ridzal, D.},

  abstractNote = {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.},

  doi          = {10.1155/2012/403902},

  journal      = {Scientific Programming},

  number       = 2,

  volume       = 20,

  place        = {Egypt},

  year         = {Sun Jan 01 00:00:00 EST 2012},

  month        = {Sun Jan 01 00:00:00 EST 2012}

}

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