Two-Sided a Posteriori Error Estimates for the DGMs for the Heat Equation

I. Šebestová ()
Additional contact information
I. Šebestová: Charles University in Prague, Faculty of Mathematics and Physics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 379-387 from Springer

Abstract: Abstract We derive a two-sided error bound for the nonstationary heat equation with mixed Dirichlet/Neumann boundary conditions. The space semi-discretization is carried out with the aid of the interior penalty discontinuous Galerkin methods and the backward Euler method is employed for the time discretization. The approach is based on the Helmholtz decomposition and the averaging interpolation operator. The behavior of derived estimates is demonstrated on a numerical example.

Keywords: Posteriori Error Estimates; Helmholtz Decomposition; Interior Penalty Discontinuous Galerkin Method; Nonstationary Heat Equation; Average Interpolation Operator (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_41

Ordering information: This item can be ordered from
http://www.springer.com/9783642331343

DOI: 10.1007/978-3-642-33134-3_41

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().