全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

求解h(div)-椭圆问题的最优型区域分解算法(英文)

, PP. 1-6

Keywords: 最优型区域分解算法,h(div)-椭圆问题

Full-Text   Cite this paper   Add to My Lib

Abstract:

本文提出了几种求解h(div)-椭圆问题的最优型区域分解算法,通过适当参数的选取,论证了算法的收敛性.数值实验验证了算法的有效性.

References

[1]  quarteronia,vallia.domaindecompositionmethodsforpartialequations[m].oxfrod:oxforduniversitypress,1999.
[2]  xuj,zouj.somenonoverlappingdomaindecompositionmethods[j].siamrev,1998,40(4):857-914.
[3]  gunzburgermd,heikenschlossm,leehk.solutionofellipticpartialdifferentialequationsbyanoptimization-baseddomainddecompostionmethod[j].applmathcomput,2000,113(2):111-139.
[4]  arnolddn,falkrs,wintherr.multigridpreconditioninginh(div)andapplication[j].mathcomp,1997,66(219):957-984.
[5]  arnolddn,falkrs,wintherr.multigridinh(div)andh(curl)[j].numermath,2000,85(2):197-217.
[6]  hiptmairr,tosellia.overlappingandmultilevelschwarzmethodsforvectorvaluedellipticproblemsinthreedimensions,inparallelsolutionofpdes[c]//imavolumesinmathematicsanditsapplications.berlin:springer-verlag,2000.
[7]  wohlmuthbi,tosellia,widlundob.aniterativesubstructuringmethodforraviart-thomasvectorfiledsinthreedimensions[j].siamjnumeranal,2000,37(5):1657-1676.
[8]  tosselia.neuman-neumanmethodsforvectorfieldproblems[j].electrontrannumeranal,2000,11:1-24.
[9]  raviartpa,thomasjm.amixedfiniteelementmethodforsecondorderellipticproblems[c]//lecturenotesinmath.berlin-heidelberg,newyork:springer,1977,66:292-315.
[10]  brezzif,fortinm.mixedandhybridfiniteelementmethods[m].newyork:springer-verlag,1991.
[11]  ahusbordee,aza¨lezm,devillemo,etal.aniterativedomaindecompositionalgorithmforthegrad(div)operator[j].communcomputphys,2009,5(2/4):391-397.
[12]  smithbf,bjorstadp,groppwd.domaindecomposition:parallelmultilevelalgorithmsforellipticpartialequations[m].newyork:cambridgeuniverdsitypress,1996.
[13]  tosellia,widlundob.domaindecompositionmethods―algorithmsandtheory[m].berlin:springer-verlag,2005.
[14]  duq.optimizationbasednonoverlappingdomaindecompositionalgorithmsandtheirconvergence[j].siamjnumeranal,2001,39(3):1056-1077.
[15]  duq,gunzburgermd.agradientmethodapproachtooptimizationbasedmultidisciplinarysimulationsandnonoverlappingdomaindecompositionalgorithms[j].siamjnumeranal,2000,37(5):1513-1541.
[16]  gunzburgermd,leehk.anoptimization-baseddomaindecompositionmethodforthenavier-stokesequations[j].siamjnumeranal,2000,37(5):1455-1480.
[17]  gunzburgermd,petersonj,leehk.anoptimizationbaseddomaindecompositionmethodforpartialdifferentialequations[j].compmathappl,1999,37(10):77-93.
[18]  breschd,kokoj.oprator-splittingandlagrangermultiplierdomaindecompositionmethodsfornumericalsimulationoftwocouplednavier-stokesfluids[j].intjapplmathcomputsci,2006,16(16):419-429.
[19]  hiptmairr.multigridmethodforh(div)inthreedimensions[j].electrontrannumeranal,1997,6:133-152.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133