Development of semi-coarsening and sparse grid techniques:
Abstract: "Departing from Mulder's semi-coarsening technique for first-order PDEs, the notion of a grid of grids is introduced and a multi- level finite-volume technique for second order elliptic PDEs is developed. Various grid-transfer operators are investigated, in combination with dampe...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1995
|
| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1995,4 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "Departing from Mulder's semi-coarsening technique for first-order PDEs, the notion of a grid of grids is introduced and a multi- level finite-volume technique for second order elliptic PDEs is developed. Various grid-transfer operators are investigated, in combination with damped Jacobi-relaxation. Convergence rates as they are predicted by Fourier local mode analysis are compared with practical measurements. The wide variety of grids at our disposal leads to the notion of coherent representations of a function on different grids. A sawtooth multi-level algorithm is proposed for the case of multiple semi-corsening. A generalization of this technique towards Zenger's sparse grids is also investigated. A hierarchical set of basis-functions for finite volumes on sparse grids is briefly discussed." |
| Beschreibung: | 31 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011059587 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 961114s1995 |||| 00||| engod | ||
| 035 | |a (OCoLC)34740283 | ||
| 035 | |a (DE-599)BVBBV011059587 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G | ||
| 100 | 1 | |a Zeeuw, Paul M. de |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Development of semi-coarsening and sparse grid techniques |c P. M. de Zeeuw |
| 264 | 1 | |a Amsterdam |c 1995 | |
| 300 | |a 31 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1995,4 | |
| 520 | 3 | |a Abstract: "Departing from Mulder's semi-coarsening technique for first-order PDEs, the notion of a grid of grids is introduced and a multi- level finite-volume technique for second order elliptic PDEs is developed. Various grid-transfer operators are investigated, in combination with damped Jacobi-relaxation. Convergence rates as they are predicted by Fourier local mode analysis are compared with practical measurements. The wide variety of grids at our disposal leads to the notion of coherent representations of a function on different grids. A sawtooth multi-level algorithm is proposed for the case of multiple semi-corsening. A generalization of this technique towards Zenger's sparse grids is also investigated. A hierarchical set of basis-functions for finite volumes on sparse grids is briefly discussed." | |
| 650 | 4 | |a Algorithms | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Multigrid methods (Numerical analysis) | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1995,4 |w (DE-604)BV010177152 |9 1995,4 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007406849 | ||
Datensatz im Suchindex
| _version_ | 1804125548287361024 |
|---|---|
| any_adam_object | |
| author | Zeeuw, Paul M. de |
| author_facet | Zeeuw, Paul M. de |
| author_role | aut |
| author_sort | Zeeuw, Paul M. de |
| author_variant | p m d z pmd pmdz |
| building | Verbundindex |
| bvnumber | BV011059587 |
| ctrlnum | (OCoLC)34740283 (DE-599)BVBBV011059587 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01910nam a2200325 cb4500</leader><controlfield tag="001">BV011059587</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">961114s1995 |||| 00||| engod</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)34740283</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011059587</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="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zeeuw, Paul M. de</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Development of semi-coarsening and sparse grid techniques</subfield><subfield code="c">P. M. de Zeeuw</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">31 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">Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM</subfield><subfield code="v">1995,4</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "Departing from Mulder's semi-coarsening technique for first-order PDEs, the notion of a grid of grids is introduced and a multi- level finite-volume technique for second order elliptic PDEs is developed. Various grid-transfer operators are investigated, in combination with damped Jacobi-relaxation. Convergence rates as they are predicted by Fourier local mode analysis are compared with practical measurements. The wide variety of grids at our disposal leads to the notion of coherent representations of a function on different grids. A sawtooth multi-level algorithm is proposed for the case of multiple semi-corsening. A generalization of this technique towards Zenger's sparse grids is also investigated. A hierarchical set of basis-functions for finite volumes on sparse grids is briefly discussed."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algorithms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite element method</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multigrid methods (Numerical analysis)</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Afdeling Numerieke Wiskunde: Report NM</subfield><subfield code="t">Centrum voor Wiskunde en Informatica <Amsterdam></subfield><subfield code="v">1995,4</subfield><subfield code="w">(DE-604)BV010177152</subfield><subfield code="9">1995,4</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007406849</subfield></datafield></record></collection> |
| id | DE-604.BV011059587 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:03:18Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007406849 |
| oclc_num | 34740283 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 31 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Zeeuw, Paul M. de Verfasser aut Development of semi-coarsening and sparse grid techniques P. M. de Zeeuw Amsterdam 1995 31 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1995,4 Abstract: "Departing from Mulder's semi-coarsening technique for first-order PDEs, the notion of a grid of grids is introduced and a multi- level finite-volume technique for second order elliptic PDEs is developed. Various grid-transfer operators are investigated, in combination with damped Jacobi-relaxation. Convergence rates as they are predicted by Fourier local mode analysis are compared with practical measurements. The wide variety of grids at our disposal leads to the notion of coherent representations of a function on different grids. A sawtooth multi-level algorithm is proposed for the case of multiple semi-corsening. A generalization of this technique towards Zenger's sparse grids is also investigated. A hierarchical set of basis-functions for finite volumes on sparse grids is briefly discussed." Algorithms Differential equations, Partial Finite element method Multigrid methods (Numerical analysis) Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1995,4 (DE-604)BV010177152 1995,4 |
| spellingShingle | Zeeuw, Paul M. de Development of semi-coarsening and sparse grid techniques Algorithms Differential equations, Partial Finite element method Multigrid methods (Numerical analysis) |
| title | Development of semi-coarsening and sparse grid techniques |
| title_auth | Development of semi-coarsening and sparse grid techniques |
| title_exact_search | Development of semi-coarsening and sparse grid techniques |
| title_full | Development of semi-coarsening and sparse grid techniques P. M. de Zeeuw |
| title_fullStr | Development of semi-coarsening and sparse grid techniques P. M. de Zeeuw |
| title_full_unstemmed | Development of semi-coarsening and sparse grid techniques P. M. de Zeeuw |
| title_short | Development of semi-coarsening and sparse grid techniques |
| title_sort | development of semi coarsening and sparse grid techniques |
| topic | Algorithms Differential equations, Partial Finite element method Multigrid methods (Numerical analysis) |
| topic_facet | Algorithms Differential equations, Partial Finite element method Multigrid methods (Numerical analysis) |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT zeeuwpaulmde developmentofsemicoarseningandsparsegridtechniques |