Inexact additive Schwarz solvers for hp-FEM discretizations in three dimensions
Inexact additive Schwarz solvers for hp-FEM discretizations in three dimensions
Dokument öffnen (842.9KB)Datum der Veröffentlichung
07.2011Verlag / herausgebende Einrichtung
Institut für Numerische Simulation (INS)Verlagsort
BonnMetadaten
Zur Langanzeige
Zitierbarer Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11961
Inhalt
In this paper, a boundary value problem of second order in three space dimensions is discretized by means of the hp-version of the finite element method. The system of linear algebraic equations is solved by the preconditioned conjugate gradient method with an overlapping domain decomposition preconditioner with inexact subproblem solvers. In addition to a global solver for the low order functions, the ingredients of this preconditioner are local solvers for the patches. Here, a solver is used which utilizes the tensor product structure of the patches. The efficiency in time and iteration numbers of the presented solver is shown in several numerical examples for diffusion like problems as well as for problems in linear elasticity.
Klassifikation (DDC)
510 Mathematik 518 Numerische AnalysisErstpublikation
https://ins.uni-bonn.de/publication/preprintsZugehörige Publikation(en)
https://doi.org/10.1007/978-3-642-30316-6_4Reihe, Nummer
INS Preprints ; 1107Beuchler, Sven: Inexact additive Schwarz solvers for hp-FEM discretizations in three dimensions. In: INS Preprints, 1107.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11961
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11961
@unpublished{handle:20.500.11811/11961,
author = {{Sven Beuchler}},
title = {Inexact additive Schwarz solvers for hp-FEM discretizations in three dimensions},
publisher = {Institut für Numerische Simulation (INS)},
year = 2011,
month = jul,
INS Preprints},
volume = 1107,
note = {In this paper, a boundary value problem of second order in three space dimensions is discretized by means of the hp-version of the finite element method. The system of linear algebraic equations is solved by the preconditioned conjugate gradient method with an overlapping domain decomposition preconditioner with inexact subproblem solvers. In addition to a global solver for the low order functions, the ingredients of this preconditioner are local solvers for the patches. Here, a solver is used which utilizes the tensor product structure of the patches. The efficiency in time and iteration numbers of the presented solver is shown in several numerical examples for diffusion like problems as well as for problems in linear elasticity.},
url = {https://hdl.handle.net/20.500.11811/11961}
}
author = {{Sven Beuchler}},
title = {Inexact additive Schwarz solvers for hp-FEM discretizations in three dimensions},
publisher = {Institut für Numerische Simulation (INS)},
year = 2011,
month = jul,
INS Preprints},
volume = 1107,
note = {In this paper, a boundary value problem of second order in three space dimensions is discretized by means of the hp-version of the finite element method. The system of linear algebraic equations is solved by the preconditioned conjugate gradient method with an overlapping domain decomposition preconditioner with inexact subproblem solvers. In addition to a global solver for the low order functions, the ingredients of this preconditioner are local solvers for the patches. Here, a solver is used which utilizes the tensor product structure of the patches. The efficiency in time and iteration numbers of the presented solver is shown in several numerical examples for diffusion like problems as well as for problems in linear elasticity.},
url = {https://hdl.handle.net/20.500.11811/11961}
}
Die folgenden Nutzungsbestimmungen sind mit dieser Ressource verbunden:
