A posteriori error estimates for a Maxwell type problem
Anjam, I., Mali, O., Muzalevsky, A., Neittaanmäki, P., & Repin, S. (2009). A posteriori error estimates for a Maxwell type problem. Russian Journal of Numerical Analysis and Mathematical Modelling, 24(5), 395-408. https://doi.org/10.1515/RJNAMM.2009.025
Date
2009Copyright
© de Gruyter 2009. Published in this repository with the kind permission of the publisher.
In this paper, we discuss a posteriori estimates for the Maxwell type boundary-value
problem. The estimates are derived by transformations of integral identities that define the generalized
solution and are valid for any conforming approximation of the exact solution. It is proved analytically
and confirmed numerically that the estimates indeed provide a computable and guaranteed bound of
approximation errors. Also, it is shown that the estimates imply robust error indicators that represent
the distribution of local (inter-element) errors measured in terms of different norms.
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Walter de Gruyter GmbHISSN Search the Publication Forum
0927-6467Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/19198889
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