### Abstract

We present simulations of diffusion-limited transport in an initi ally cold medium of two different materials subjected to an impulsive radiative load, using a Newton-Krylov-Schwarz solver. The spatial discretization employs Galerkin finite elements with linear piecewise continuous basis functions over simplices in 2D and 3D. Temporal integration is via a solution-adaptive implicit Euler method. The code shows excellent domain-decomposed scalability on the Teragrid, BlueGene, and System X platforms. Comparing implementations for this application with. opintensive residual evaluation, we observe that an analytical Jacobian gives better performance (in terms of the overall execution time to solution) than a Jacobianfree approach.

Original language | English (US) |
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Title of host publication | Domain Decomposition Methods in Science and Engineering XVI |

Editors | Olof Widlund, David Keyes |

Pages | 579-586 |

Number of pages | 8 |

State | Published - Dec 1 2007 |

### Publication series

Name | Lecture Notes in Computational Science and Engineering |
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Volume | 55 |

ISSN (Print) | 1439-7358 |

### Fingerprint

### ASJC Scopus subject areas

- Modeling and Simulation
- Engineering(all)
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Computational Mathematics

### Cite this

*Domain Decomposition Methods in Science and Engineering XVI*(pp. 579-586). (Lecture Notes in Computational Science and Engineering; Vol. 55).

**Parallel Implicit Solution of Diffusion-limited Radiation Transport.** / Gropp, William D.; Kaushik, Dinesh K.; Keyes, David E.; Smith, Barry F.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Domain Decomposition Methods in Science and Engineering XVI.*Lecture Notes in Computational Science and Engineering, vol. 55, pp. 579-586.

}

TY - CHAP

T1 - Parallel Implicit Solution of Diffusion-limited Radiation Transport

AU - Gropp, William D.

AU - Kaushik, Dinesh K.

AU - Keyes, David E.

AU - Smith, Barry F.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - We present simulations of diffusion-limited transport in an initi ally cold medium of two different materials subjected to an impulsive radiative load, using a Newton-Krylov-Schwarz solver. The spatial discretization employs Galerkin finite elements with linear piecewise continuous basis functions over simplices in 2D and 3D. Temporal integration is via a solution-adaptive implicit Euler method. The code shows excellent domain-decomposed scalability on the Teragrid, BlueGene, and System X platforms. Comparing implementations for this application with. opintensive residual evaluation, we observe that an analytical Jacobian gives better performance (in terms of the overall execution time to solution) than a Jacobianfree approach.

AB - We present simulations of diffusion-limited transport in an initi ally cold medium of two different materials subjected to an impulsive radiative load, using a Newton-Krylov-Schwarz solver. The spatial discretization employs Galerkin finite elements with linear piecewise continuous basis functions over simplices in 2D and 3D. Temporal integration is via a solution-adaptive implicit Euler method. The code shows excellent domain-decomposed scalability on the Teragrid, BlueGene, and System X platforms. Comparing implementations for this application with. opintensive residual evaluation, we observe that an analytical Jacobian gives better performance (in terms of the overall execution time to solution) than a Jacobianfree approach.

UR - http://www.scopus.com/inward/record.url?scp=84880344334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880344334&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:84880344334

SN - 9783540344681

T3 - Lecture Notes in Computational Science and Engineering

SP - 579

EP - 586

BT - Domain Decomposition Methods in Science and Engineering XVI

A2 - Widlund, Olof

A2 - Keyes, David

ER -