On the Convergence of DGFEM Applied to the Discrete Ordinates Transport Equation for Structured and Unstructured Triangular Meshes Academic Article

abstract

• The convergence properties of the discontinuous Galerkin finite element method (DGFEM) applied to the transport equation are presented for variants of Larsen's test case. The analysis is performed for two-dimensional structured and unstructured triangular meshes, with DGFEM approximations up to order 4. Pure absorber media and scattering media are considered. The influence of the mesh alignment with the singularities of the transport solution is described. The numerically observed convergence rates are related to theoretical results.

authors

• Ragusa, Jean

published proceedings

• NUCLEAR SCIENCE AND ENGINEERING

author list (cited authors)

• Wang, Y., & Ragusa, J. C.

citation count

• 20

complete list of authors

• Wang, Yaqi||Ragusa, Jean C

publication date

• September 2009

publisher

• Taylor & Francis  Publisher

published in

• Nuclear Science and Engineering  Journal

keywords

• 40 Engineering
• 4019 Resources Engineering And Extractive Metallurgy

Digital Object Identifier (DOI)

• 10.13182/NSE08-72

start page

• 56

end page

• 72

volume

• 163

issue

• 1

URL

• http://dx.doi.org/10.13182/nse08-72