# Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation

## Abstract

Discontinuous Galerkin finite element methods are used to estimate solutions to the non-scattering 1-D spherical neutron transport equation. Various trial and test spaces are compared in the context of a few sample problems whose exact solution is known. Certain trial spaces avoid unphysical behaviors that seem to plague other methods. Comparisons with diamond differencing and simple corner-balancing are presented to highlight these improvements.

- Authors:

- Department of Applied Mathematics, University of Washington, P.O. Box 352420, 408 Gugenheim Hall, Seattle, WA 98195-2420 (United States) and Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P.O. Box 808 L-419, Livermore, CA 94551 (United States). E-mail: machorro@amath.washington.edu

- Publication Date:

- OSTI Identifier:
- 20991568

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Computational Physics; Journal Volume: 223; Journal Issue: 1; Other Information: DOI: 10.1016/j.jcp.2006.08.020; PII: S0021-9991(06)00424-4; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIAMONDS; EQUATIONS; EXACT SOLUTIONS; FINITE ELEMENT METHOD; GEOMETRY; MATHEMATICAL SPACE; NEUTRON TRANSPORT; NEUTRON TRANSPORT THEORY

### Citation Formats

```
Machorro, Eric.
```*Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation*. United States: N. p., 2007.
Web. doi:10.1016/j.jcp.2006.08.020.

```
Machorro, Eric.
```*Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation*. United States. doi:10.1016/j.jcp.2006.08.020.

```
Machorro, Eric. Tue .
"Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation". United States.
doi:10.1016/j.jcp.2006.08.020.
```

```
@article{osti_20991568,
```

title = {Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation},

author = {Machorro, Eric},

abstractNote = {Discontinuous Galerkin finite element methods are used to estimate solutions to the non-scattering 1-D spherical neutron transport equation. Various trial and test spaces are compared in the context of a few sample problems whose exact solution is known. Certain trial spaces avoid unphysical behaviors that seem to plague other methods. Comparisons with diamond differencing and simple corner-balancing are presented to highlight these improvements.},

doi = {10.1016/j.jcp.2006.08.020},

journal = {Journal of Computational Physics},

number = 1,

volume = 223,

place = {United States},

year = {Tue Apr 10 00:00:00 EDT 2007},

month = {Tue Apr 10 00:00:00 EDT 2007}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.