6533b82efe1ef96bd1293b4d

RESEARCH PRODUCT

Functional A Posteriori Error Estimate for a Nonsymmetric Stationary Diffusion Problem

Olli Mali

subject

Diffusion problemNumerical analysisMathematical analysisFunctional typeA priori and a posterioriApplied mathematicsNumerical testsAuxiliary functionMinificationSubspace topologyMathematics

description

In this paper, a posteriori error estimates of functional type for a stationary diffusion problem with nonsymmetric coefficients are derived. The estimate is guaranteed and does not depend on any particular numerical method. An algorithm for the global minimization of the error estimate with respect to an auxiliary function over some finite dimensional subspace is presented. In numerical tests, global minimization is done over the subspace generated by Raviart-Thomas elements. The improvement of the error bound due to the p-refinement of these spaces is investigated.

yearjournalcountryeditionlanguage
2015-10-08
https://doi.org/10.1007/978-3-319-23564-6_2