Bidimensional interpolation operators of finite element type and degree of exactness two
For a given arbitrary triangulation of \(\mathbb R^2\), we construct an interpolating operator which is exact for the polynomials in two variables of total degree \(\leq 2\). This operator is local, in the sense that the information around an interpolation node is taken from a small region around th...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2005-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/806 |
| _version_ | 1811217956687839232 |
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| author | Daniela Roşca |
| author_facet | Daniela Roşca |
| author_sort | Daniela Roşca |
| collection | DOAJ |
| description | For a given arbitrary triangulation of \(\mathbb R^2\), we construct an interpolating operator which is exact for the polynomials in two variables of total degree \(\leq 2\). This operator is local, in the sense that the information around an interpolation node is taken from a small region around this point. We study the remainder of the interpolation formula. |
| first_indexed | 2024-04-12T07:02:05Z |
| format | Article |
| id | doaj.art-cac23abe5bec4717ba734dfebf6f6fc2 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-12T07:02:05Z |
| publishDate | 2005-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-cac23abe5bec4717ba734dfebf6f6fc22022-12-22T03:42:59ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2005-08-01342Bidimensional interpolation operators of finite element type and degree of exactness twoDaniela Roşca0Technical University of Cluj-Napoca, RomaniaFor a given arbitrary triangulation of \(\mathbb R^2\), we construct an interpolating operator which is exact for the polynomials in two variables of total degree \(\leq 2\). This operator is local, in the sense that the information around an interpolation node is taken from a small region around this point. We study the remainder of the interpolation formula.https://www.ictp.acad.ro/jnaat/journal/article/view/806two-dimensional interpolation operatordegree of exactness |
| spellingShingle | Daniela Roşca Bidimensional interpolation operators of finite element type and degree of exactness two Journal of Numerical Analysis and Approximation Theory two-dimensional interpolation operator degree of exactness |
| title | Bidimensional interpolation operators of finite element type and degree of exactness two |
| title_full | Bidimensional interpolation operators of finite element type and degree of exactness two |
| title_fullStr | Bidimensional interpolation operators of finite element type and degree of exactness two |
| title_full_unstemmed | Bidimensional interpolation operators of finite element type and degree of exactness two |
| title_short | Bidimensional interpolation operators of finite element type and degree of exactness two |
| title_sort | bidimensional interpolation operators of finite element type and degree of exactness two |
| topic | two-dimensional interpolation operator degree of exactness |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/806 |
| work_keys_str_mv | AT danielarosca bidimensionalinterpolationoperatorsoffiniteelementtypeanddegreeofexactnesstwo |