Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:C3L-A

Session:

Number:439

Guaranteed high precision estimation for interpolation error constant

Xuefeng LIU,  Shin'ichi OISHI,  

pp.439-440

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.439

PDF download (290.2KB)

Summary:
For various interpolation error constants that appear in the numerical analysis of the finite element method and so on, we consider to give a uniform framework to estimate these constants with high precision.

References:

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[2] Xuefeng Liu and Shin'ichi Oishi, Verified eigenvalue evaluation for the laplacian over polygonal domains of arbitrary shape, submitted to SIAM on Numerical Analysis, 2012

[3] Xuefeng Liu and Shin'ichi Oishi, Verified eigenvalue evaluation for Laplace operator on arbitrary polygonal domain, p.31-39, RIMS Kokyuroku, Kyoto U., 1733, 2011

[4] Kentai Kobayashi, On the interpolation constants over triangular elements, p.58-77, RIMS Kokyuroku, Kyoto U., 1733, 2011

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