An improvement of the theorem of a posteriori estimates for inverse elliptic operators-Reference-Cited by-同舟云学术

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An improvement of the theorem of a posteriori estimates for inverse elliptic operators

Published:2014 Issue:1 Volume:5 Page:47-52
ISSN:2185-4106
Container-title:Nonlinear Theory and Its Applications, IEICE
language:en
Short-container-title:NOLTA

Author:

Kinoshita Takehiko¹²,Watanabe Yoshitaka³,Nakao Mitsuhiro T.⁴

Affiliation:

1. Center for the Promotion of Interdisciplinary Education and Research, Kyoto University

2. Research Institute for Mathematical Sciences, Kyoto University

3. Research Institute for Information Technology, Kyushu University

4. Sasebo National College of Technology

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Rehabilitation,Physical Therapy, Sports Therapy and Rehabilitation,General Medicine

Link

https://www.jstage.jst.go.jp/article/nolta/5/1/5_47/_pdf

Reference11 articles.

1. [1] P. Grisvard, Singularities in Boundary Value Problems, Springer, New York, 1992.

2. [2] T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin Heidelberg, 1976.

3. [3] F. Kikuchi and X. Liu, “Determination of the Babuska-Aziz constant for the linear triangular finite element,” Japan Journal of Industrial and Applied Mathematics, vol. 23, no. 1, pp. 75-82, 2006.

4. [4] S. Kimura and N. Yamamoto, “On explicit bounds in the error for the H₀¹-projection into piecewise polynomial spaces,” Bulletin of Informatics and Cybernetics, vol. 31, no. 2, pp. 109-115, 1999.

5. [5] M.T. Nakao, N. Yamamoto, and S. Kimura, “On the Best constant in the error bound for the H₀¹-projection into piecewise polynomial spaces,” Journal of Approximation Theory, vol. 93, pp. 491-500, 1998.

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