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An Adaptive Finite Element Method for Convection-Diffusion Problems by Interpolation Techniques.

Please always quote using this URN: urn:nbn:de:0297-zib-4795
  • For adaptive solution of convection- difussion problems with the streamline-diffusion finite element method, an error estimator based on interpolation techniques is developed. It can be shown that for correctness of this error estimator a restriction of the maximum angle is to be sufficient. Compared to usual methods, the adaptive process leads to more accurate solutions at much less computational cost. Numerical tests are enclosed. {\bf Keywords: } Adaptive finite elements, convection- diffusion equation, internal and boundary layers, streamline-diffusion. {\bf Subject Classifications:} AMS(MOS): 65N15, 65N30

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Author:Jens Lang
Document Type:ZIB-Report
Date of first Publication:1991/02/26
Series (Serial Number):ZIB-Report (TR-91-04)
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