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Quadrature error of the load vector in the finite element method

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Abstract

We analyze the error in thep version of the of the finite element method when the effect of the quadrature error is taken in the load vector. We briefly study some results on theH 1 norm error and present some new results for the error in theL 2 norm. We investigate the quadrature error due to the numerical integration of the right hand side We present theoretical and computational examples showing the sharpness of our results.

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Authors and Affiliations

  1. Department of Mathematics Research Institute of Basic Science, Kwangwoon University, 139-701, Seoul, Korea

    Chang -Geun Kim

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  1. Chang -Geun Kim
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Correspondence to Chang -Geun Kim.

Additional information

The present research has been conducted by the Research Grant of Kwangwoon University in 1998.

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Kim, C.G. Quadrature error of the load vector in the finite element method. Korean J. Comput. & Appl. Math. 5, 645–657 (1998). https://doi.org/10.1007/BF03008888

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  • DOI: https://doi.org/10.1007/BF03008888

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