Saved in:
| Title: | A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations |
|---|---|
| From: |
Folkmar A. Bornemann
|
| Person: |
Bornemann, Folkmar
1967- Verfasser aut |
| Main Author: | |
| Format: | Book |
| Language: | English |
| Published: |
Berlin
1991
|
| Series: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1991,9 |
| Subjects: | |
| Abstract: | Abstract: "In this paper it is shown that for highly nonuniformly refined triangulations the condition number of the BPX preconditioner for elliptic finite element problems grows at most linearly in the depth of refinement. This is achieved by viewing the computational available version of the BPX preconditioner as an abstract additive Schwartz method with exact solvers." |
| Physical Description: | 20 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004794927 | ||
| 003 | DE-604 | ||
| 005 | 19930730 | ||
| 007 | t| | ||
| 008 | 920224s1991 gw |||| 00||| eng d | ||
| 035 | |a (OCoLC)25562322 | ||
| 035 | |a (DE-599)BVBBV004794927 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-12 | ||
| 100 | 1 | |a Bornemann, Folkmar |d 1967- |e Verfasser |0 (DE-588)120096269 |4 aut | |
| 245 | 1 | 0 | |a A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations |c Folkmar A. Bornemann |
| 264 | 1 | |a Berlin |c 1991 | |
| 300 | |a 20 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1991,9 | |
| 520 | 3 | |a Abstract: "In this paper it is shown that for highly nonuniformly refined triangulations the condition number of the BPX preconditioner for elliptic finite element problems grows at most linearly in the depth of refinement. This is achieved by viewing the computational available version of the BPX preconditioner as an abstract additive Schwartz method with exact solvers." | |
| 650 | 4 | |a Finite element method | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1991,9 |w (DE-604)BV004801715 |9 1991,9 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-002949856 | |
Record in the Search Index
| _version_ | 1818946942413045760 |
|---|---|
| any_adam_object | |
| author | Bornemann, Folkmar 1967- |
| author_GND | (DE-588)120096269 |
| author_facet | Bornemann, Folkmar 1967- |
| author_role | aut |
| author_sort | Bornemann, Folkmar 1967- |
| author_variant | f b fb |
| building | Verbundindex |
| bvnumber | BV004794927 |
| ctrlnum | (OCoLC)25562322 (DE-599)BVBBV004794927 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01429nam a2200301 cb4500</leader><controlfield tag="001">BV004794927</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19930730 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">920224s1991 gw |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)25562322</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004794927</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bornemann, Folkmar</subfield><subfield code="d">1967-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)120096269</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations</subfield><subfield code="c">Folkmar A. Bornemann</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="c">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">20 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC</subfield><subfield code="v">1991,9</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "In this paper it is shown that for highly nonuniformly refined triangulations the condition number of the BPX preconditioner for elliptic finite element problems grows at most linearly in the depth of refinement. This is achieved by viewing the computational available version of the BPX preconditioner as an abstract additive Schwartz method with exact solvers."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite element method</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC</subfield><subfield code="v">1991,9</subfield><subfield code="w">(DE-604)BV004801715</subfield><subfield code="9">1991,9</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002949856</subfield></datafield></record></collection> |
| id | DE-604.BV004794927 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:23:01Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002949856 |
| oclc_num | 25562322 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 20 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Bornemann, Folkmar 1967- Verfasser (DE-588)120096269 aut A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations Folkmar A. Bornemann Berlin 1991 20 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1991,9 Abstract: "In this paper it is shown that for highly nonuniformly refined triangulations the condition number of the BPX preconditioner for elliptic finite element problems grows at most linearly in the depth of refinement. This is achieved by viewing the computational available version of the BPX preconditioner as an abstract additive Schwartz method with exact solvers." Finite element method Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1991,9 (DE-604)BV004801715 1991,9 |
| spellingShingle | Bornemann, Folkmar 1967- A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Finite element method |
| title | A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations |
| title_auth | A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations |
| title_exact_search | A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations |
| title_full | A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations Folkmar A. Bornemann |
| title_fullStr | A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations Folkmar A. Bornemann |
| title_full_unstemmed | A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations Folkmar A. Bornemann |
| title_short | A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations |
| title_sort | a sharpened condition number estimate for the bpx preconditioner of elliptic finite element problems on highly nonuniform triangulations |
| topic | Finite element method |
| topic_facet | Finite element method |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT bornemannfolkmar asharpenedconditionnumberestimateforthebpxpreconditionerofellipticfiniteelementproblemsonhighlynonuniformtriangulations |