A second order finite difference error indicator for
adaptive transonic flow computations |
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Authors: | U G\"ohner G Warnecke |
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Institution: | (1) Mathematisches Institut A, Universit\"at Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany e-mail: Gerald.Warnecke@mathematik.uni-magdeburg.d400.de , DE |
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Abstract: | Summary.
An adaptive finite element method for the calculation of transonic potential
flows was developed. An error indicator based on first order finite differences
of gradients is introduced as a local error estimator. It measures second order
distributional derivatives. Estimates involving
this error estimator, a residual and the error are given. The error estimator
can be used as a criterion for mesh refinement. We also give some computational
results.
Received September 16, 1993 / Revised version received June
7, 1994 |
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Keywords: | Mathematics Subject Classification (1991): 65N15 65N30 35M10 |
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