Functional a posteriori error equalities for conforming mixed approximations of elliptic problems
Published inReports of the Department of Mathematical Information Technology. Series B, Scientific computing
PublisherUniversity of Jyväskylä
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Weymuth, Monika; Sauter, Stefan; Repin, Sergey (Walter de Gruyter GmbH, 2017)We consider elliptic problems with complicated, discontinuous diffusion tensor A0. One of the standard approaches to numerically treat such problems is to simplify the coefficient by some approximation, say Aε, and to ...
Anjam, Immanuel (University of Jyväskylä, 2014)
On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm Anjam, Immanuel; Nokka, Marjaana; Repin, Sergey (De Gruyter, 2012)In this paper, we derive computable a posteriori error bounds for approximations computed by the Uzawa algorithm for the generalized Stokes problem. We show that for each Uzawa iteration both the velocity error and the ...
A posteriori error bounds for approximations of the oseen problem and applications to the uzawa iteration algorithm Nokka, Marjaana; Repin, Sergey (Walter de Gruyter GmbH, 2014)Abstract: We derive computable bounds of deviations from the exact solution of the stationary Oseen prob- lem. They are applied to approximations generated by the Uzawa iteration method. Also, we derive an ad- vanced ...
Kurz, Stefan; Pauly, Dirk; Praetorius, Dirk; Repin, Sergey; Sebastian, Daniel (Springer, 2021)Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work proposes a first functional error estimate ...