A simple Hessian-based 3D mesh adaptation technique with applications to the multigroup diffusion equations Academic Article

abstract

• A simple error estimation and mesh adaptation procedure is proposed for the multigroup multi-dimensional diffusion equations. The procedure estimates the values of the second-order derivatives of the current numerical solution to drive the mesh refinement. Different spatial meshes are obtained for each component of the multigroup flux in order to follow the physics appropriately. This requires the proper handling of the group coupling terms arising in the multigroup diffusion equations. Results are presented in 2D and 3D. 2008 Elsevier Ltd. All rights reserved.

authors

• Ragusa, Jean

published proceedings

• ANNALS OF NUCLEAR ENERGY

author list (cited authors)

• Ragusa, J. C.

citation count

• 16

complete list of authors

• Ragusa, Jean C

publication date

• November 2008

publisher

• Elsevier  Publisher

published in

• Annals of Nuclear Energy  Journal

Digital Object Identifier (DOI)

• 10.1016/j.anucene.2008.06.008

start page

• 2006

end page

• 2018

volume

• 35

issue

• 11

URL

• http://dx.doi.org/10.1016/j.anucene.2008.06.008