6533b839fe1ef96bd12a5cc7
RESEARCH PRODUCT
A posteriori error estimates for a Maxwell type problem
Olli MaliPekka NeittaanmäkiSergey RepinAlexey MuzalevskyImmanuel Anjamsubject
Numerical AnalysisExact solutions in general relativityDistribution (number theory)Modeling and SimulationWeak solutionCalculusA priori and a posterioriApplied mathematicsType (model theory)Mathematicsdescription
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. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 | Russian Journal of Numerical Analysis and Mathematical Modelling |