Finite element least-squares methods for a compressible stokes system
The least-squares functional related to a vorticity variable or a velocity flux variable is considered for two-dimensional compressible Stokes equations. We show ellipticity and continuity in an appropriate product norm for each functional.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204204124 |
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| _version_ | 1832562545290903552 |
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| author | Keehwan Kim Sangdong Kim Sangsik Shin |
| author_facet | Keehwan Kim Sangdong Kim Sangsik Shin |
| author_sort | Keehwan Kim |
| collection | DOAJ |
| description | The least-squares functional related to a vorticity variable or a velocity flux variable is considered for two-dimensional compressible Stokes equations. We show ellipticity and continuity in an appropriate product norm for each functional. |
| format | Article |
| id | doaj-art-9584038d7b4740a6904354a2a65e6011 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9584038d7b4740a6904354a2a65e60112025-02-03T01:22:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004723965397410.1155/S0161171204204124Finite element least-squares methods for a compressible stokes systemKeehwan Kim0Sangdong Kim1Sangsik Shin2Department of Mathematics, Yeungnam University, Kyongsan 712–749, KoreaDepartment of Mathematics, Kyungpook National University, Daegu 702–701, KoreaDepartment of Mathematics, Kyungpook National University, Daegu 702–701, KoreaThe least-squares functional related to a vorticity variable or a velocity flux variable is considered for two-dimensional compressible Stokes equations. We show ellipticity and continuity in an appropriate product norm for each functional.http://dx.doi.org/10.1155/S0161171204204124 |
| spellingShingle | Keehwan Kim Sangdong Kim Sangsik Shin Finite element least-squares methods for a compressible stokes system International Journal of Mathematics and Mathematical Sciences |
| title | Finite element least-squares methods for a compressible stokes system |
| title_full | Finite element least-squares methods for a compressible stokes system |
| title_fullStr | Finite element least-squares methods for a compressible stokes system |
| title_full_unstemmed | Finite element least-squares methods for a compressible stokes system |
| title_short | Finite element least-squares methods for a compressible stokes system |
| title_sort | finite element least squares methods for a compressible stokes system |
| url | http://dx.doi.org/10.1155/S0161171204204124 |
| work_keys_str_mv | AT keehwankim finiteelementleastsquaresmethodsforacompressiblestokessystem AT sangdongkim finiteelementleastsquaresmethodsforacompressiblestokessystem AT sangsikshin finiteelementleastsquaresmethodsforacompressiblestokessystem |