Journal of Numerical Mathematics
Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri
Managing Editor: Olshanskii, Maxim
Editorial Board: Benzi, Michele / Brenner, Susanne C. / Carstensen, Carsten / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Lazarov, Raytcho / Nataf, Frédéric / Neittaanmaki, P. / Bonito, Andrea / Quarteroni, Alfio / Guzman, Johnny / Rannacher, Rolf / Repin, Sergey I. / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Zou, Jun / Simoncini, Valeria / Reusken, Arnold
IMPACT FACTOR 2018: 3.107
CiteScore 2018: 2.43
SCImago Journal Rank (SJR) 2018: 1.252
Source Normalized Impact per Paper (SNIP) 2018: 1.618
Mathematical Citation Quotient (MCQ) 2018: 1.13
A survey of numerical methods for convection–diffusion optimal control problems
In this paper we present a survey of numericalmethods for optimal control problems governed by convection-diffusion equations. For ease of exposition we focus on stationary convection-diffusion optimal control problems with distributed control. Several effective numericalmethods including stabilizedmethods and discontinuous Galerkinmethods are reviewed. Furthermore, we also make some investigations about convection-diffusion optimal control problems with state constraints and pointwisely imposed control.
Keywords : convection-diffusion equations; optimal control problems; streamline upwind Petrov-Galerkin method; edge stabilization Galerkin method; local projection stabilization method; interior penalty discontinuous Galerkin method; local discontinuous Galerkin method; a priori error estimates; a posteriori error estimates; adaptive finite element method
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.