Spectral element method for parabolic initial value problem with non-smooth data: analysis and application
In this paper, a least-squares spectral element method for parabolic initial value problem for two space dimension on parallel computers is presented. The theory is also valid for three dimension. This method gives exponential accuracy in both space and time. The method is based on minimization of r...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
23 May 2017
|
| In: |
Journal of scientific computing
Year: 2017, Jahrgang: 73, Heft: 2-3, Pages: 876-905 |
| ISSN: | 1573-7691 |
| DOI: | 10.1007/s10915-017-0457-0 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/s10915-017-0457-0 Verlag, Volltext: https://link.springer.com/article/10.1007/s10915-017-0457-0 
|
| Verfasserangaben: | Arbaz Khan, Pravir Dutt, Chandra Shekhar Upadhyay |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1580094384 | ||
| 003 | DE-627 | ||
| 005 | 20220814221249.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180816s2017 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s10915-017-0457-0 |2 doi | |
| 035 | |a (DE-627)1580094384 | ||
| 035 | |a (DE-576)510094384 | ||
| 035 | |a (DE-599)BSZ510094384 | ||
| 035 | |a (OCoLC)1341016888 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 28 |2 sdnb | ||
| 100 | 1 | |a Khan, Arbaz |e VerfasserIn |0 (DE-588)1164608665 |0 (DE-627)1028980418 |0 (DE-576)510093647 |4 aut | |
| 245 | 1 | 0 | |a Spectral element method for parabolic initial value problem with non-smooth data |b analysis and application |c Arbaz Khan, Pravir Dutt, Chandra Shekhar Upadhyay |
| 264 | 1 | |c 23 May 2017 | |
| 300 | |a 30 | ||
| 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 16.08.2018 | ||
| 520 | |a In this paper, a least-squares spectral element method for parabolic initial value problem for two space dimension on parallel computers is presented. The theory is also valid for three dimension. This method gives exponential accuracy in both space and time. The method is based on minimization of residuals in terms of the partial differential equation and initial condition, in different Sobolev norms, and a term which measures the jump in the function and its derivatives across inter-element boundaries in appropriate fractional Sobolev norms. Rigorous error estimates for this method are given. Some specific numerical examples are solved to show the efficiency of this method. | ||
| 700 | 1 | |a Dutt, Pravir |e VerfasserIn |0 (DE-588)1164608886 |0 (DE-627)1028980493 |0 (DE-576)510093590 |4 aut | |
| 700 | 1 | |a Upadhyay, Chandra Shekhar |d 1968- |e VerfasserIn |0 (DE-588)1164609483 |0 (DE-627)1028980795 |0 (DE-576)510094287 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Journal of scientific computing |d New York, NY [u.a.] : Springer Science + Business Media B.V., 1986 |g 73(2017), 2-3, Seite 876-905 |h Online-Ressource |w (DE-627)317878395 |w (DE-600)2017260-6 |w (DE-576)121466221 |x 1573-7691 |7 nnas |a Spectral element method for parabolic initial value problem with non-smooth data analysis and application |
| 773 | 1 | 8 | |g volume:73 |g year:2017 |g number:2-3 |g pages:876-905 |g extent:30 |a Spectral element method for parabolic initial value problem with non-smooth data analysis and application |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/s10915-017-0457-0 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://link.springer.com/article/10.1007/s10915-017-0457-0 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180816 | ||
| 993 | |a Article | ||
| 994 | |a 2017 | ||
| 998 | |g 1164608665 |a Khan, Arbaz |m 1164608665:Khan, Arbaz |d 700000 |d 708000 |e 700000PK1164608665 |e 708000PK1164608665 |k 0/700000/ |k 1/700000/708000/ |p 1 |x j | ||
| 999 | |a KXP-PPN1580094384 |e 3022438117 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"name":{"displayForm":["Arbaz Khan, Pravir Dutt, Chandra Shekhar Upadhyay"]},"origin":[{"dateIssuedDisp":"23 May 2017","dateIssuedKey":"2017"}],"id":{"eki":["1580094384"],"doi":["10.1007/s10915-017-0457-0"]},"physDesc":[{"extent":"30 S."}],"relHost":[{"origin":[{"publisherPlace":"New York, NY [u.a.] ; London [u.a.]","dateIssuedKey":"1986","publisher":"Springer Science + Business Media B.V. ; Kluwer","dateIssuedDisp":"1986-"}],"id":{"issn":["1573-7691"],"zdb":["2017260-6"],"eki":["317878395"]},"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title":"Journal of scientific computing","title_sort":"Journal of scientific computing"}],"note":["Gesehen am 01.11.05"],"type":{"media":"Online-Ressource","bibl":"periodical"},"disp":"Spectral element method for parabolic initial value problem with non-smooth data analysis and applicationJournal of scientific computing","language":["eng"],"recId":"317878395","pubHistory":["1.1986 -"],"part":{"year":"2017","pages":"876-905","issue":"2-3","volume":"73","text":"73(2017), 2-3, Seite 876-905","extent":"30"}}],"person":[{"family":"Khan","given":"Arbaz","roleDisplay":"VerfasserIn","display":"Khan, Arbaz","role":"aut"},{"given":"Pravir","family":"Dutt","role":"aut","roleDisplay":"VerfasserIn","display":"Dutt, Pravir"},{"role":"aut","display":"Upadhyay, Chandra Shekhar","roleDisplay":"VerfasserIn","given":"Chandra Shekhar","family":"Upadhyay"}],"title":[{"title_sort":"Spectral element method for parabolic initial value problem with non-smooth data","subtitle":"analysis and application","title":"Spectral element method for parabolic initial value problem with non-smooth data"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 16.08.2018"],"language":["eng"],"recId":"1580094384"} | ||
| SRT | |a KHANARBAZDSPECTRALEL2320 | ||