A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach
Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mazza, M. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2021 |
|---|
| Systematik: |
|
|---|
| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Numerische Mathematik - Springer Berlin Heidelberg, 1959, 149(2021), 4 vom: 15. Nov., Seite 933-971 |
|---|---|
| Übergeordnetes Werk: |
volume:149 ; year:2021 ; number:4 ; day:15 ; month:11 ; pages:933-971 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00211-021-01247-y |
|---|
| Katalog-ID: |
OLC207754211X |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC207754211X | ||
| 003 | DE-627 | ||
| 005 | 20230505151841.0 | ||
| 007 | tu | ||
| 008 | 221220s2021 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s00211-021-01247-y |2 doi | |
| 035 | |a (DE-627)OLC207754211X | ||
| 035 | |a (DE-He213)s00211-021-01247-y-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 510 |q VZ |
| 084 | |a 17,1 |2 ssgn | ||
| 084 | |a SA 7310 |q VZ |2 rvk | ||
| 100 | 1 | |a Mazza, M. |e verfasserin |0 (orcid)0000-0002-8505-6788 |4 aut | |
| 245 | 1 | 0 | |a A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach |
| 264 | 1 | |c 2021 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 | ||
| 520 | |a Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. | ||
| 700 | 1 | |a Semplice, M. |0 (orcid)0000-0002-2398-0828 |4 aut | |
| 700 | 1 | |a Serra-Capizzano, S. |0 (orcid)0000-0001-9477-109X |4 aut | |
| 700 | 1 | |a Travaglia, E. |0 (orcid)0000-0002-4936-4353 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Numerische Mathematik |d Springer Berlin Heidelberg, 1959 |g 149(2021), 4 vom: 15. Nov., Seite 933-971 |w (DE-627)129081469 |w (DE-600)3460-5 |w (DE-576)014414333 |x 0029-599X |7 nnns |
| 773 | 1 | 8 | |g volume:149 |g year:2021 |g number:4 |g day:15 |g month:11 |g pages:933-971 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/s00211-021-01247-y |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a SSG-OPC-MAT | ||
| 912 | |a GBV_ILN_2018 | ||
| 912 | |a GBV_ILN_2030 | ||
| 912 | |a GBV_ILN_4027 | ||
| 912 | |a GBV_ILN_4126 | ||
| 912 | |a GBV_ILN_4277 | ||
| 912 | |a GBV_ILN_4311 | ||
| 936 | r | v | |a SA 7310 |
| 951 | |a AR | ||
| 952 | |d 149 |j 2021 |e 4 |b 15 |c 11 |h 933-971 | ||
| author_variant |
m m mm m s ms s s c ssc e t et |
|---|---|
| matchkey_str |
article:0029599X:2021----::mtitertcpcrlnlssfnopesbeairtkstgeedapoiainadrltdp |
| hierarchy_sort_str |
2021 |
| publishDate |
2021 |
| allfields |
10.1007/s00211-021-01247-y doi (DE-627)OLC207754211X (DE-He213)s00211-021-01247-y-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Mazza, M. verfasserin (orcid)0000-0002-8505-6788 aut A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. Semplice, M. (orcid)0000-0002-2398-0828 aut Serra-Capizzano, S. (orcid)0000-0001-9477-109X aut Travaglia, E. (orcid)0000-0002-4936-4353 aut Enthalten in Numerische Mathematik Springer Berlin Heidelberg, 1959 149(2021), 4 vom: 15. Nov., Seite 933-971 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:149 year:2021 number:4 day:15 month:11 pages:933-971 https://doi.org/10.1007/s00211-021-01247-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4311 SA 7310 AR 149 2021 4 15 11 933-971 |
| spelling |
10.1007/s00211-021-01247-y doi (DE-627)OLC207754211X (DE-He213)s00211-021-01247-y-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Mazza, M. verfasserin (orcid)0000-0002-8505-6788 aut A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. Semplice, M. (orcid)0000-0002-2398-0828 aut Serra-Capizzano, S. (orcid)0000-0001-9477-109X aut Travaglia, E. (orcid)0000-0002-4936-4353 aut Enthalten in Numerische Mathematik Springer Berlin Heidelberg, 1959 149(2021), 4 vom: 15. Nov., Seite 933-971 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:149 year:2021 number:4 day:15 month:11 pages:933-971 https://doi.org/10.1007/s00211-021-01247-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4311 SA 7310 AR 149 2021 4 15 11 933-971 |
| allfields_unstemmed |
10.1007/s00211-021-01247-y doi (DE-627)OLC207754211X (DE-He213)s00211-021-01247-y-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Mazza, M. verfasserin (orcid)0000-0002-8505-6788 aut A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. Semplice, M. (orcid)0000-0002-2398-0828 aut Serra-Capizzano, S. (orcid)0000-0001-9477-109X aut Travaglia, E. (orcid)0000-0002-4936-4353 aut Enthalten in Numerische Mathematik Springer Berlin Heidelberg, 1959 149(2021), 4 vom: 15. Nov., Seite 933-971 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:149 year:2021 number:4 day:15 month:11 pages:933-971 https://doi.org/10.1007/s00211-021-01247-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4311 SA 7310 AR 149 2021 4 15 11 933-971 |
| allfieldsGer |
10.1007/s00211-021-01247-y doi (DE-627)OLC207754211X (DE-He213)s00211-021-01247-y-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Mazza, M. verfasserin (orcid)0000-0002-8505-6788 aut A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. Semplice, M. (orcid)0000-0002-2398-0828 aut Serra-Capizzano, S. (orcid)0000-0001-9477-109X aut Travaglia, E. (orcid)0000-0002-4936-4353 aut Enthalten in Numerische Mathematik Springer Berlin Heidelberg, 1959 149(2021), 4 vom: 15. Nov., Seite 933-971 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:149 year:2021 number:4 day:15 month:11 pages:933-971 https://doi.org/10.1007/s00211-021-01247-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4311 SA 7310 AR 149 2021 4 15 11 933-971 |
| allfieldsSound |
10.1007/s00211-021-01247-y doi (DE-627)OLC207754211X (DE-He213)s00211-021-01247-y-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Mazza, M. verfasserin (orcid)0000-0002-8505-6788 aut A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. Semplice, M. (orcid)0000-0002-2398-0828 aut Serra-Capizzano, S. (orcid)0000-0001-9477-109X aut Travaglia, E. (orcid)0000-0002-4936-4353 aut Enthalten in Numerische Mathematik Springer Berlin Heidelberg, 1959 149(2021), 4 vom: 15. Nov., Seite 933-971 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:149 year:2021 number:4 day:15 month:11 pages:933-971 https://doi.org/10.1007/s00211-021-01247-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4311 SA 7310 AR 149 2021 4 15 11 933-971 |
| language |
English |
| source |
Enthalten in Numerische Mathematik 149(2021), 4 vom: 15. Nov., Seite 933-971 volume:149 year:2021 number:4 day:15 month:11 pages:933-971 |
| sourceStr |
Enthalten in Numerische Mathematik 149(2021), 4 vom: 15. Nov., Seite 933-971 volume:149 year:2021 number:4 day:15 month:11 pages:933-971 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Numerische Mathematik |
| authorswithroles_txt_mv |
Mazza, M. @@aut@@ Semplice, M. @@aut@@ Serra-Capizzano, S. @@aut@@ Travaglia, E. @@aut@@ |
| publishDateDaySort_date |
2021-11-15T00:00:00Z |
| hierarchy_top_id |
129081469 |
| dewey-sort |
3510 |
| id |
OLC207754211X |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC207754211X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505151841.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2021 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00211-021-01247-y</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC207754211X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00211-021-01247-y-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SA 7310</subfield><subfield code="q">VZ</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mazza, M.</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-8505-6788</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Semplice, M.</subfield><subfield code="0">(orcid)0000-0002-2398-0828</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Serra-Capizzano, S.</subfield><subfield code="0">(orcid)0000-0001-9477-109X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Travaglia, E.</subfield><subfield code="0">(orcid)0000-0002-4936-4353</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Numerische Mathematik</subfield><subfield code="d">Springer Berlin Heidelberg, 1959</subfield><subfield code="g">149(2021), 4 vom: 15. Nov., Seite 933-971</subfield><subfield code="w">(DE-627)129081469</subfield><subfield code="w">(DE-600)3460-5</subfield><subfield code="w">(DE-576)014414333</subfield><subfield code="x">0029-599X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:149</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:4</subfield><subfield code="g">day:15</subfield><subfield code="g">month:11</subfield><subfield code="g">pages:933-971</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00211-021-01247-y</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2030</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4311</subfield></datafield><datafield tag="936" ind1="r" ind2="v"><subfield code="a">SA 7310</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">149</subfield><subfield code="j">2021</subfield><subfield code="e">4</subfield><subfield code="b">15</subfield><subfield code="c">11</subfield><subfield code="h">933-971</subfield></datafield></record></collection>
|
| author |
Mazza, M. |
| spellingShingle |
Mazza, M. ddc 510 ssgn 17,1 rvk SA 7310 A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach |
| authorStr |
Mazza, M. |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)129081469 |
| format |
Article |
| dewey-ones |
510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut aut aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0029-599X |
| topic_title |
510 VZ 17,1 ssgn SA 7310 VZ rvk A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach |
| topic |
ddc 510 ssgn 17,1 rvk SA 7310 |
| topic_unstemmed |
ddc 510 ssgn 17,1 rvk SA 7310 |
| topic_browse |
ddc 510 ssgn 17,1 rvk SA 7310 |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Numerische Mathematik |
| hierarchy_parent_id |
129081469 |
| dewey-tens |
510 - Mathematics |
| hierarchy_top_title |
Numerische Mathematik |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 |
| title |
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach |
| ctrlnum |
(DE-627)OLC207754211X (DE-He213)s00211-021-01247-y-p |
| title_full |
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach |
| author_sort |
Mazza, M. |
| journal |
Numerische Mathematik |
| journalStr |
Numerische Mathematik |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2021 |
| contenttype_str_mv |
txt |
| container_start_page |
933 |
| author_browse |
Mazza, M. Semplice, M. Serra-Capizzano, S. Travaglia, E. |
| container_volume |
149 |
| class |
510 VZ 17,1 ssgn SA 7310 VZ rvk |
| format_se |
Aufsätze |
| author-letter |
Mazza, M. |
| doi_str_mv |
10.1007/s00211-021-01247-y |
| normlink |
(ORCID)0000-0002-8505-6788 (ORCID)0000-0002-2398-0828 (ORCID)0000-0001-9477-109X (ORCID)0000-0002-4936-4353 |
| normlink_prefix_str_mv |
(orcid)0000-0002-8505-6788 (orcid)0000-0002-2398-0828 (orcid)0000-0001-9477-109X (orcid)0000-0002-4936-4353 |
| dewey-full |
510 |
| title_sort |
a matrix-theoretic spectral analysis of incompressible navier–stokes staggered dg approximations and a related spectrally based preconditioning approach |
| title_auth |
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach |
| abstract |
Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
| abstractGer |
Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
| abstract_unstemmed |
Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4311 |
| container_issue |
4 |
| title_short |
A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach |
| url |
https://doi.org/10.1007/s00211-021-01247-y |
| remote_bool |
false |
| author2 |
Semplice, M. Serra-Capizzano, S. Travaglia, E. |
| author2Str |
Semplice, M. Serra-Capizzano, S. Travaglia, E. |
| ppnlink |
129081469 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s00211-021-01247-y |
| up_date |
2024-07-03T16:05:45.202Z |
| _version_ |
1803574570073980928 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC207754211X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505151841.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2021 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00211-021-01247-y</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC207754211X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00211-021-01247-y-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SA 7310</subfield><subfield code="q">VZ</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mazza, M.</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-8505-6788</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A matrix-theoretic spectral analysis of incompressible Navier–Stokes staggered DG approximations and a related spectrally based preconditioning approach</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The incompressible Navier–Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. We study the structure and the spectral features of the matrices of the linear systems arising from the discretization. They are of block type, each block showing Toeplitz-like, band, and tensor structure at the same time. After introducing new tools to study Toeplitz-like matrix sequences with rectangular symbols, a quite complete spectral analysis is presented, with the target of designing and analyzing fast iterative solvers for the associated large linear systems. Promising numerical results are presented, commented, and critically discussed for elongated two- and three-dimensional geometries.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Semplice, M.</subfield><subfield code="0">(orcid)0000-0002-2398-0828</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Serra-Capizzano, S.</subfield><subfield code="0">(orcid)0000-0001-9477-109X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Travaglia, E.</subfield><subfield code="0">(orcid)0000-0002-4936-4353</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Numerische Mathematik</subfield><subfield code="d">Springer Berlin Heidelberg, 1959</subfield><subfield code="g">149(2021), 4 vom: 15. Nov., Seite 933-971</subfield><subfield code="w">(DE-627)129081469</subfield><subfield code="w">(DE-600)3460-5</subfield><subfield code="w">(DE-576)014414333</subfield><subfield code="x">0029-599X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:149</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:4</subfield><subfield code="g">day:15</subfield><subfield code="g">month:11</subfield><subfield code="g">pages:933-971</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00211-021-01247-y</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2030</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4311</subfield></datafield><datafield tag="936" ind1="r" ind2="v"><subfield code="a">SA 7310</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">149</subfield><subfield code="j">2021</subfield><subfield code="e">4</subfield><subfield code="b">15</subfield><subfield code="c">11</subfield><subfield code="h">933-971</subfield></datafield></record></collection>
|
| score |
7.3982143 |