A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation
In this paper, a robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation is presented. Upper and local lower bounds for the velocity-pressure error in terms of the energy norm and a seminorm associated with the convective term are derived....
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
February 6, 2020
|
| In: |
SIAM journal on numerical analysis
Year: 2020, Jahrgang: 58, Heft: 1, Pages: 492-518 |
| ISSN: | 1095-7170 |
| DOI: | 10.1137/18M1169072 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1137/18M1169072
|
| Verfasserangaben: | Arbaz Khan and Guido Kanschat |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 172558946X | ||
| 003 | DE-627 | ||
| 005 | 20220818161737.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 200727s2020 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1137/18M1169072 |2 doi | |
| 035 | |a (DE-627)172558946X | ||
| 035 | |a (DE-599)KXP172558946X | ||
| 035 | |a (OCoLC)1341347841 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |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 | 2 | |a A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation |c Arbaz Khan and Guido Kanschat |
| 264 | 1 | |c February 6, 2020 | |
| 300 | |a 27 | ||
| 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 27.07.2020 | ||
| 520 | |a In this paper, a robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation is presented. Upper and local lower bounds for the velocity-pressure error in terms of the energy norm and a seminorm associated with the convective term are derived. We prove that the ratio of upper and lower bounds is independent of the Reynolds number. Thus the proposed estimator is fully robust. Specific numerical experiments are discussed to validate the theoretical results. | ||
| 650 | 4 | |a a posteriori error estimates | |
| 650 | 4 | |a approximations | |
| 650 | 4 | |a divergence-conforming DG methods | |
| 650 | 4 | |a Oseen equations | |
| 700 | 1 | |a Kanschat, Guido |e VerfasserIn |0 (DE-588)102535334X |0 (DE-627)72215612X |0 (DE-576)175755949 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |a Society for Industrial and Applied Mathematics |t SIAM journal on numerical analysis |d Philadelphia, Pa. : SIAM, 1966 |g 58(2020), 1, Seite 492-518 |h Online-Ressource |w (DE-627)266885446 |w (DE-600)1468409-3 |w (DE-576)075961660 |x 1095-7170 |7 nnas |
| 773 | 1 | 8 | |g volume:58 |g year:2020 |g number:1 |g pages:492-518 |g extent:27 |a A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation |
| 856 | 4 | 0 | |u https://doi.org/10.1137/18M1169072 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20200727 | ||
| 993 | |a Article | ||
| 994 | |a 2020 | ||
| 998 | |g 102535334X |a Kanschat, Guido |m 102535334X:Kanschat, Guido |d 700000 |d 708000 |e 700000PK102535334X |e 708000PK102535334X |k 0/700000/ |k 1/700000/708000/ |p 2 |y j | ||
| 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-PPN172558946X |e 3729479083 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"title":[{"title_sort":"SIAM journal on numerical analysis","title":"SIAM journal on numerical analysis"}],"corporate":[{"display":"Society for Industrial and Applied Mathematics","role":"aut"}],"part":{"year":"2020","volume":"58","extent":"27","pages":"492-518","text":"58(2020), 1, Seite 492-518","issue":"1"},"disp":"Society for Industrial and Applied MathematicsSIAM journal on numerical analysis","type":{"bibl":"periodical","media":"Online-Ressource"},"language":["eng"],"titleAlt":[{"title":"Journal on numerical analysis"}],"note":["Gesehen am 02.07.2021"],"origin":[{"dateIssuedDisp":"1966-","publisher":"SIAM","publisherPlace":"Philadelphia, Pa.","dateIssuedKey":"1966"}],"physDesc":[{"extent":"Online-Ressource"}],"name":{"displayForm":["Society for Industrial and Applied Mathematics"]},"recId":"266885446","id":{"zdb":["1468409-3"],"issn":["1095-7170"],"eki":["266885446"]},"pubHistory":["3.1966 -"]}],"title":[{"title_sort":"robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation","title":"A robust a posteriori error estimator for divergence-conforming discontinuous Galerkin methods for the Oseen equation"}],"person":[{"family":"Khan","given":"Arbaz","role":"aut","display":"Khan, Arbaz"},{"role":"aut","display":"Kanschat, Guido","given":"Guido","family":"Kanschat"}],"physDesc":[{"extent":"27 S."}],"note":["Gesehen am 27.07.2020"],"origin":[{"dateIssuedKey":"2020","dateIssuedDisp":"February 6, 2020"}],"id":{"doi":["10.1137/18M1169072"],"eki":["172558946X"]},"recId":"172558946X","type":{"media":"Online-Ressource","bibl":"article-journal"},"name":{"displayForm":["Arbaz Khan and Guido Kanschat"]},"language":["eng"]} | ||
| SRT | |a KHANARBAZKROBUSTAPOS6202 | ||