Rigorous domain triangulation for the finite element computation
Author:
Affiliation:
1. College of Systems Engineering and Science, Shibaura Institute of Technology
2. School of Arts and Sciences, Tokyo Woman's Christian University
Publisher
The Japan Society for Industrial and Applied Mathematics
Link
https://www.jstage.jst.go.jp/article/jsiaml/16/0/16_69/_pdf
Reference5 articles.
1. [1] IEEE Standard for Floating-Point Arithmetic, ANSI/IEEE Std 754-2008 IEEE Xplore, 2008.
2. [2] P. Grisvard, Elliptic Problems in Nonsmooth Domains, SIAM, Philadelphia, 2011.
3. [3] Pat H. Sterbenz, Floating-point Computation, Prentice-Hall, Englewood Cliffs, 1974.
4. [4] S. M. Rump, T. Ogita and S. Oishi, Accurate floating-point summation part II: Sign, K-fold faithful and rounding to nearest, SIAM J. Sci. Comput., 31 (2009), 1269–1302.
5. [5] C.-P. Jeannerod and S. M. Rump, Improved error bounds for inner products in floating-point arithmetic, SIAM J. Matrix Anal. Appl., 34 (2013), 338–344.
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