The interpolation theorem for narrow quadrilateralisoparametric finite elements |
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Authors: | Alexander Zeníšek Michèle Vanmaele |
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Affiliation: | (1) Technical University Brno, Technická 2, 61669 Brno, Czech Republic ,;(2) Oxford University, Computing Laboratory, Numerical Analysis Group, Wolfson Building, Parks Road, Oxford OX1 3QD, U.K. , GB |
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Abstract: | Summary. The interpolation theorem for convex quadrilateral isoparametric finite elements is proved in the case when the condition is not satisfied, where is the diameter of the element and is the radius of an inscribed circle in . The interpolation error is in the -norm and in the -norm provided that the interpolated function belongs to . In the case when the long sides of the quadrilateral are parallel the constants appearing in the estimates are evaluated. Received September 1993 / Revised version received March 6, 1995 |
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Keywords: | Mathematics Subject Classification (1991):65N30 |
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