A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
Numerical Analysis
2012-11-16 v2
Abstract
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error representations based on space-time cells is presented such that it can be used for adaptive strategies based on dual weighted residual methods. A posteriori error estimates based on weighted global projections and local projections are also proved.
Cite
@article{arxiv.1205.0159,
title = {A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation},
author = {Fardin Saedpanah},
journal= {arXiv preprint arXiv:1205.0159},
year = {2012}
}
Comments
30 pages