Spatial adaptivity for time-dependent diffusion problems

Bruno Turcksin, Jean C. Ragusa

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A new scheme for the efficient application of spatial adaptivity to time-dependent problems has been derived. Specifically, we avoided having recourse to several consecutive mesh adaptations per time step, but rather derived a criterion to allow the same spatial mesh to be employed for several time steps before performing a new mesh adaptation, thus reducing the computational cost while preserving the quality of the numerical solution.

Original languageEnglish
Title of host publicationAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Pages1949-1955
Number of pages7
StatePublished - 2009
Externally publishedYes
EventInternational Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 - Saratoga Springs, NY, United States
Duration: May 3 2009May 7 2009

Publication series

NameAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Volume3

Conference

ConferenceInternational Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Country/TerritoryUnited States
CitySaratoga Springs, NY
Period05/3/0905/7/09

Keywords

  • Finite-element
  • Mesh adaptation
  • Mesh adaptivity
  • Time-dependent problems

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