Cover Image

Homogenization and multigrid

Show other versions (1)

For elliptic partial differential equations with periodically oscillating coefficients which may have large jumps, we prove robust convergence of a two-grid algorithm using a prolongation motivated by the theory of homogenization. The corresponding Galerkin operator on the coarse grid turns out to b...

Full description

Saved in:
Bibliographic Details
Main Authors: Neuß, Nicolas (Author) , Jäger, Willi (Author) , Wittum, Gabriel (Author)
Format: Article (Journal)
Language:English
Published: 2001
In: Computing
Year: 2001, Volume: 66, Issue: 1, Pages: 1-26
ISSN:1436-5057
DOI:10.1007/s006070170036
Online Access:Resolving-System, Volltext: http://dx.doi.org/10.1007/s006070170036
Verlag, Volltext: https://link.springer.com/article/10.1007/s006070170036
Get full text
Author Notes:N. Neuss, W. Jäger, and G. Wittum

MARC

LEADER 00000caa a2200000 c 4500
001 1580458998
003 DE-627
005 20220814233819.0
007 cr uuu---uuuuu
008 180828s2001 xx |||||o 00| ||eng c
024 7 |a 10.1007/s006070170036  |2 doi 
035 |a (DE-627)1580458998 
035 |a (DE-576)510458998 
035 |a (DE-599)BSZ510458998 
035 |a (OCoLC)1341017705 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 27  |2 sdnb 
100 1 |a Neuß, Nicolas  |d 1964-  |e VerfasserIn  |0 (DE-588)172992125  |0 (DE-627)697917711  |0 (DE-576)133845427  |4 aut 
245 1 0 |a Homogenization and multigrid  |c N. Neuss, W. Jäger, and G. Wittum 
264 1 |c 2001 
300 |a 26 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 28.08.2018 
520 |a For elliptic partial differential equations with periodically oscillating coefficients which may have large jumps, we prove robust convergence of a two-grid algorithm using a prolongation motivated by the theory of homogenization. The corresponding Galerkin operator on the coarse grid turns out to be a discretization of a diffusion operator with homogenized coefficients obtained by solving discrete cell problems. This two-grid method is then embedded inside a multi-grid cycle extending over both the fine and the coarse scale. 
700 1 |a Jäger, Willi  |d 1940-  |e VerfasserIn  |0 (DE-588)132750783  |0 (DE-627)526873094  |0 (DE-576)161561349  |4 aut 
700 1 |a Wittum, Gabriel  |d 1956-  |e VerfasserIn  |0 (DE-588)172455677  |0 (DE-627)697394883  |0 (DE-576)367562456  |4 aut 
773 0 8 |i Enthalten in  |t Computing  |d Wien [u.a.] : Springer, 1966  |g 66(2001), 1, Seite 1-26  |h Online-Ressource  |w (DE-627)253721776  |w (DE-600)1458946-1  |w (DE-576)072372257  |x 1436-5057  |7 nnas  |a Homogenization and multigrid 
773 1 8 |g volume:66  |g year:2001  |g number:1  |g pages:1-26  |g extent:26  |a Homogenization and multigrid 
856 4 0 |u http://dx.doi.org/10.1007/s006070170036  |x Resolving-System  |x Verlag  |3 Volltext 
856 4 0 |u https://link.springer.com/article/10.1007/s006070170036  |x Verlag  |3 Volltext 
951 |a AR 
992 |a 20180828 
993 |a Article 
994 |a 2001 
998 |g 172455677  |a Wittum, Gabriel  |m 172455677:Wittum, Gabriel  |d 700000  |d 708000  |e 700000PW172455677  |e 708000PW172455677  |k 0/700000/  |k 1/700000/708000/  |p 3  |y j 
998 |g 132750783  |a Jäger, Willi  |m 132750783:Jäger, Willi  |d 700000  |d 708000  |d 110000  |d 110200  |d 110000  |d 110400  |e 700000PJ132750783  |e 708000PJ132750783  |e 110000PJ132750783  |e 110200PJ132750783  |e 110000PJ132750783  |e 110400PJ132750783  |k 0/700000/  |k 1/700000/708000/  |k 0/110000/  |k 1/110000/110200/  |k 0/110000/  |k 1/110000/110400/  |p 2 
998 |g 172992125  |a Neuß, Nicolas  |m 172992125:Neuß, Nicolas  |d 700000  |d 708000  |e 700000PN172992125  |e 708000PN172992125  |k 0/700000/  |k 1/700000/708000/  |p 1  |x j 
999 |a KXP-PPN1580458998  |e 3024063838 
BIB |a Y 
SER |a journal 
JSO |a {"id":{"eki":["1580458998"],"doi":["10.1007/s006070170036"]},"origin":[{"dateIssuedDisp":"2001","dateIssuedKey":"2001"}],"name":{"displayForm":["N. Neuss, W. Jäger, and G. Wittum"]},"relHost":[{"title":[{"title_sort":"Computing","subtitle":"archives for informatics and numerical computation","title":"Computing"}],"pubHistory":["1.1966 -"],"part":{"extent":"26","text":"66(2001), 1, Seite 1-26","volume":"66","issue":"1","pages":"1-26","year":"2001"},"note":["Gesehen am 01.11.05"],"disp":"Homogenization and multigridComputing","type":{"bibl":"periodical","media":"Online-Ressource"},"recId":"253721776","language":["eng"],"origin":[{"publisher":"Springer","dateIssuedKey":"1966","dateIssuedDisp":"1966-","publisherPlace":"Wien [u.a.]"}],"id":{"issn":["1436-5057"],"eki":["253721776"],"zdb":["1458946-1"]},"physDesc":[{"extent":"Online-Ressource"}]}],"physDesc":[{"extent":"26 S."}],"title":[{"title_sort":"Homogenization and multigrid","title":"Homogenization and multigrid"}],"person":[{"family":"Neuß","given":"Nicolas","display":"Neuß, Nicolas","roleDisplay":"VerfasserIn","role":"aut"},{"role":"aut","roleDisplay":"VerfasserIn","display":"Jäger, Willi","given":"Willi","family":"Jäger"},{"given":"Gabriel","family":"Wittum","role":"aut","roleDisplay":"VerfasserIn","display":"Wittum, Gabriel"}],"language":["eng"],"recId":"1580458998","type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 28.08.2018"]} 
SRT |a NEUSSNICOLHOMOGENIZA2001 

Similar Items