A posteriori error estimates of characteristic mixed finite elements for convection-diffusion control problems
Abstract: In this article, we consider fully discrete characteristic mixed finite elements for convection-diffusion optimal control problems. We use the characteristic line method to treat the hyperbolic part of the state equation as a directional derivative. The state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. Using some proper duality problems, we derive a posteriori error estimates for the scalar functions. Such estimates are not available in the literature. A numerical example is presented to validate the theoretical results.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
A posteriori error estimates of characteristic mixed finite elements for convection-diffusion control problems ; volume:20 ; number:1 ; year:2022 ; pages:629-645 ; extent:17
Open mathematics ; 20, Heft 1 (2022), 629-645 (gesamt 17)
- Urheber
-
Tang, Yuelong
Hua, Yuchun
- DOI
-
10.1515/math-2022-0053
- URN
-
urn:nbn:de:101:1-2022082114020926921479
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:35 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Tang, Yuelong
- Hua, Yuchun
Ähnliche Objekte (12)
A posteriori error estimates and adaptive methods for convection dominated transport processes
A posteriori error estimates and adaptive methods for convection dominated transport processes
A-posteriori error estimates for pressure-correction schemes
A posteriori error estimates for the virtual element method
Functional a posteriori error estimates for boundary element methods
A posteriori error estimates for wave maps into spheres
A posteriori error estimates for a coupled piezoelectric model
A posteriori error estimation for convection dominated problems on anisotropic meshes
A posteriori error estimation for convection dominated problems on anisotropic meshes
A posteriori error estimates and solver adaptivity in numerical simulations
Pointwise A Posteriori Error Estimates for Monotone Semi-linear Equations
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations
A posteriori error estimates and adaptive methods for convection dominated transport processes
A posteriori error estimates and adaptive methods for convection dominated transport processes
A-posteriori error estimates for pressure-correction schemes
A posteriori error estimates for the virtual element method
Functional a posteriori error estimates for boundary element methods
A posteriori error estimates for wave maps into spheres
A posteriori error estimates for a coupled piezoelectric model
A posteriori error estimation for convection dominated problems on anisotropic meshes
A posteriori error estimation for convection dominated problems on anisotropic meshes
A posteriori error estimates and solver adaptivity in numerical simulations
Pointwise A Posteriori Error Estimates for Monotone Semi-linear Equations
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations
A posteriori error estimates and adaptive methods for convection dominated transport processes
A posteriori error estimates and adaptive methods for convection dominated transport processes
A-posteriori error estimates for pressure-correction schemes
A posteriori error estimates for the virtual element method
Functional a posteriori error estimates for boundary element methods
A posteriori error estimates for wave maps into spheres
A posteriori error estimates for a coupled piezoelectric model
A posteriori error estimation for convection dominated problems on anisotropic meshes
A posteriori error estimation for convection dominated problems on anisotropic meshes
A posteriori error estimates and solver adaptivity in numerical simulations
Pointwise A Posteriori Error Estimates for Monotone Semi-linear Equations