Paola Antonietti
Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains
Antonietti, Paola; Giani, Stefano; Houston, Paul
Abstract
In this article we consider the application of Schwarz-type domain decomposition preconditioners for discontinuous Galerkin finite element approximations of elliptic partial differential equations posed on complicated domains, which are characterized by small details in the computational domain or microstructures. In this setting, it is necessary to define a suitable coarse-level solver, in order to guarantee the scalability of the preconditioner under mesh refinement. To this end, we exploit recent ideas developed in the so-called composite finite element framework, which allows for the definition of finite element methods on general meshes consisting of agglomerated elements. Numerical experiments highlighting the practical performance of the proposed preconditioner are presented.
Citation
Antonietti, P., Giani, S., & Houston, P. (2014). Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains. Journal of Scientific Computing, 60(1), 203-227. https://doi.org/10.1007/s10915-013-9792-y
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 9, 2013 |
Publication Date | Jul 1, 2014 |
Deposit Date | Sep 29, 2014 |
Publicly Available Date | Jun 22, 2015 |
Journal | Journal of Scientific Computing |
Print ISSN | 0885-7474 |
Electronic ISSN | 1573-7691 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 60 |
Issue | 1 |
Pages | 203-227 |
DOI | https://doi.org/10.1007/s10915-013-9792-y |
Keywords | Composite finite element methods, Discontinuous Galerkin methods, Domain decomposition, Schwarz preconditioners. |
Public URL | https://durham-repository.worktribe.com/output/1420480 |
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Copyright Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-013-9792-y.
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