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arXiv · 1205.0159

A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation

Fardin Saedpanah
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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.

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Fardin Saedpanah. 2012-05-01. A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation. https://arxiv.org/abs/1205.0159

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