Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems Academic Article uri icon

abstract

  • In this article, we develop functional a posteriori error estimates for discontinuous Galerkin (DG) approximations of elliptic boundary-value problems. These estimates are based on a certain projection of DG approximations to the respective energy space and functional a posteriori estimates for conforming approximations developed by S. Repin (see e.g., Math Comp 69 (2000) 481-500). On these grounds, we derive two-sided guaranteed and computable bounds for the errors in "broken" energy norms. A series of numerical examples presented confirm the efficiency of the estimates. © 2008 Wiley Periodicals, Inc.

author list (cited authors)

  • Lazarov, R., Repin, S., & Tomar, S. K.

citation count

  • 20

publication date

  • July 2009

publisher