A numerical study on Neumann-Neumann and FETI methods for hp approximations on geometrically refined boundary layer meshes in two dimensions
dc.contributor.author
Toselli, Andrea
dc.contributor.author
Vasseur, Xavier
dc.date.accessioned
2022-08-29T17:06:20Z
dc.date.available
2017-06-10T07:23:35Z
dc.date.available
2022-08-29T17:06:20Z
dc.date.issued
2003-10-10
dc.identifier.issn
0045-7825
dc.identifier.issn
1879-2138
dc.identifier.other
10.1016/S0045-7825(03)00426-2
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/53653
dc.description.abstract
We present extensive numerical tests showing the performance and robustness of certain Balancing Neumann–Neumann and one-level FETI methods for the solution of algebraic linear systems arising from hp finite element approximations of scalar elliptic problems on geometrically refined boundary layer meshes in two dimensions. The numerical results confirm the theoretical results derived in [A. Toselli, X. Vasseur, Technical Report 02-15, Seminar für Angewandte Mathematik, ETH, Zürich, September 2002]: the condition numbers are independent of the aspect ratio of the mesh and of potentially large jumps of the coefficients. In addition, they only grow polylogarithmically with the polynomial degree, as in the case of p approximations on shape-regular meshes.
en_US
dc.language.iso
en
en_US
dc.publisher
Elsevier
en_US
dc.subject
Domain decomposition
en_US
dc.subject
Preconditioning
en_US
dc.subject
Hp finite elements
en_US
dc.subject
Spectral elements
en_US
dc.subject
Anisotropic meshes
en_US
dc.title
A numerical study on Neumann-Neumann and FETI methods for hp approximations on geometrically refined boundary layer meshes in two dimensions
en_US
dc.type
Journal Article
dc.date.published
2003-09-10
ethz.journal.title
Computer Methods in Applied Mechanics and Engineering
ethz.journal.volume
192
en_US
ethz.journal.issue
41-42
en_US
ethz.journal.abbreviated
Comput. Methods Appl. Mech. Eng.
ethz.pages.start
4551
en_US
ethz.pages.end
4579
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Amsterdam
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2017-06-10T07:25:33Z
ethz.source
ECIT
ethz.identifier.importid
imp59364f993192159302
ethz.ecitpid
pub:86809
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-07-18T07:36:32Z
ethz.rosetta.lastUpdated
2023-02-07T05:50:07Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=A%20numerical%20study%20on%20Neumann-Neumann%20and%20FETI%20methods%20for%20hp%20approximations%20on%20geometrically%20refined%20boundary%20layer%20meshes%20in%20two%20d&rft.jtitle=Computer%20Methods%20in%20Applied%20Mechanics%20and%20Engineering&rft.date=2003-10-10&rft.volume=192&rft.issue=41-42&rft.spage=4551&rft.epage=4579&rft.issn=0045-7825&1879-2138&rft.au=Toselli,%20Andrea&Vasseur,%20Xavier&rft.genre=article&rft_id=info:doi/10.1016/S0045-7825(03)00426-2&
Files in this item
| Files | Size | Format | Open in viewer |
|---|---|---|---|
|
There are no files associated with this item. |
|||
Publication type
-
Journal Article [130276]