Stable splitting of polyharmonic operators by generalized Stokes systems
Stable splitting of polyharmonic operators by generalized Stokes systems
Dokument öffnen (793.6KB)Datum der Veröffentlichung
12.2015Verlag / herausgebende Einrichtung
Institut für Numerische Simulation (INS)Verlagsort
BonnMetadaten
Zur Langanzeige
Zitierbarer Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11907
Inhalt
A stable splitting of 2m-th order elliptic partial differential equations into 2(m−1) problems of Poisson type and one generalized Stokes problem is established for any space dimension d ≥ 2 and any integer m ≥ 1. This allows a numerical approximation with standard finite elements that are suited for the Poisson equation and the Stokes system, respectively. For some fourth- and sixth-order problems in two and three space dimensions, precise finite element formulations along with a priori error estimates and numerical experiments are presented.
Klassifikation (DDC)
510 Mathematik 518 Numerische AnalysisErstpublikation
https://ins.uni-bonn.de/publication/preprintsZugehörige Publikation(en)
https://doi.org/10.1090/mcom/3208Reihe, Nummer
INS Preprints ; 1529Gallistl, Dietmar: Stable splitting of polyharmonic operators by generalized Stokes systems. In: INS Preprints, 1529.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11907
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11907
@unpublished{handle:20.500.11811/11907,
author = {{Dietmar Gallistl}},
title = {Stable splitting of polyharmonic operators by generalized Stokes systems},
publisher = {Institut für Numerische Simulation (INS)},
year = 2015,
month = dec,
INS Preprints},
volume = 1529,
note = {A stable splitting of 2m-th order elliptic partial differential equations into 2(m−1) problems of Poisson type and one generalized Stokes problem is established for any space dimension d ≥ 2 and any integer m ≥ 1. This allows a numerical approximation with standard finite elements that are suited for the Poisson equation and the Stokes system, respectively. For some fourth- and sixth-order problems in two and three space dimensions, precise finite element formulations along with a priori error estimates and numerical experiments are presented.},
url = {https://hdl.handle.net/20.500.11811/11907}
}
author = {{Dietmar Gallistl}},
title = {Stable splitting of polyharmonic operators by generalized Stokes systems},
publisher = {Institut für Numerische Simulation (INS)},
year = 2015,
month = dec,
INS Preprints},
volume = 1529,
note = {A stable splitting of 2m-th order elliptic partial differential equations into 2(m−1) problems of Poisson type and one generalized Stokes problem is established for any space dimension d ≥ 2 and any integer m ≥ 1. This allows a numerical approximation with standard finite elements that are suited for the Poisson equation and the Stokes system, respectively. For some fourth- and sixth-order problems in two and three space dimensions, precise finite element formulations along with a priori error estimates and numerical experiments are presented.},
url = {https://hdl.handle.net/20.500.11811/11907}
}
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