On a generalized $L_2$ projection and some related stability estimates in Sobolev spaces |
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Authors: | Olaf Steinbach |
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Affiliation: | 1.Mathematisches Institut A, Universit?t Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany; e-mail: steinbach@mathematik.uni-stuttgart.de,DE |
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Abstract: | Summary. In this paper we investigate a stability estimate needed in hybrid finite and boundary element methods, especially in hybrid coupled domain decomposition methods including mortar finite elements. This stability estimate is equivalent to the stability of a generalized projection in certain Sobolev spaces. Using piecewise linear trial spaces and appropriate piecewise constant test spaces, the stability of the generalized projection is proved assuming some mesh conditions locally. Received April 11, 2000 / Revised version received February 15, 2001 / Published online July 25, 2001 |
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Keywords: | Mathematics Subject Classification (1991):65D05 65N30 65N50 |
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