Playing with nonuniform grids
Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Veldman, A. E. P. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1992 |
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| Schlagwörter: |
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| Anmerkung: |
© Kluwer Academic Publishers 1992 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of engineering mathematics - Kluwer Academic Publishers, 1967, 26(1992), 1 vom: Feb., Seite 119-130 |
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| Übergeordnetes Werk: |
volume:26 ; year:1992 ; number:1 ; month:02 ; pages:119-130 |
| Links: |
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| DOI / URN: |
10.1007/BF00043231 |
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| Katalog-ID: |
OLC2074031408 |
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| 520 | |a Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable. | ||
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10.1007/BF00043231 doi (DE-627)OLC2074031408 (DE-He213)BF00043231-p DE-627 ger DE-627 rakwb eng 510 VZ Veldman, A. E. P. verfasserin aut Playing with nonuniform grids 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1992 Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable. Mathematical Modeling Numerical Experiment Industrial Mathematic Coefficient Matrix Truncation Error Rinzema, K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 26(1992), 1 vom: Feb., Seite 119-130 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:26 year:1992 number:1 month:02 pages:119-130 https://doi.org/10.1007/BF00043231 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_23 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 26 1992 1 02 119-130 |
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10.1007/BF00043231 doi (DE-627)OLC2074031408 (DE-He213)BF00043231-p DE-627 ger DE-627 rakwb eng 510 VZ Veldman, A. E. P. verfasserin aut Playing with nonuniform grids 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1992 Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable. Mathematical Modeling Numerical Experiment Industrial Mathematic Coefficient Matrix Truncation Error Rinzema, K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 26(1992), 1 vom: Feb., Seite 119-130 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:26 year:1992 number:1 month:02 pages:119-130 https://doi.org/10.1007/BF00043231 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_23 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 26 1992 1 02 119-130 |
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10.1007/BF00043231 doi (DE-627)OLC2074031408 (DE-He213)BF00043231-p DE-627 ger DE-627 rakwb eng 510 VZ Veldman, A. E. P. verfasserin aut Playing with nonuniform grids 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1992 Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable. Mathematical Modeling Numerical Experiment Industrial Mathematic Coefficient Matrix Truncation Error Rinzema, K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 26(1992), 1 vom: Feb., Seite 119-130 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:26 year:1992 number:1 month:02 pages:119-130 https://doi.org/10.1007/BF00043231 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_23 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 26 1992 1 02 119-130 |
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10.1007/BF00043231 doi (DE-627)OLC2074031408 (DE-He213)BF00043231-p DE-627 ger DE-627 rakwb eng 510 VZ Veldman, A. E. P. verfasserin aut Playing with nonuniform grids 1992 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1992 Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable. Mathematical Modeling Numerical Experiment Industrial Mathematic Coefficient Matrix Truncation Error Rinzema, K. aut Enthalten in Journal of engineering mathematics Kluwer Academic Publishers, 1967 26(1992), 1 vom: Feb., Seite 119-130 (DE-627)129595748 (DE-600)240689-5 (DE-576)015088766 0022-0833 nnns volume:26 year:1992 number:1 month:02 pages:119-130 https://doi.org/10.1007/BF00043231 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_23 GBV_ILN_32 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2015 GBV_ILN_2088 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4307 GBV_ILN_4309 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4700 AR 26 1992 1 02 119-130 |
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Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable. © Kluwer Academic Publishers 1992 |
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Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable. © Kluwer Academic Publishers 1992 |
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Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. The same criterion appears to be favourable. © Kluwer Academic Publishers 1992 |
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P.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Playing with nonuniform grids</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1992</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">© Kluwer Academic Publishers 1992</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Numerical experiments with discretization methods on nonuniform grids are presented for the convection-diffusion equation. These show that the accuracy of the discrete solution is not very well predicted by the local truncation error. The diagonal entries in the discrete coefficient matrix give a better clue: the convective term should not reduce the diagonal. Also, iterative solution of the discrete set of equations is discussed. 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