Numerical verification of solutions for obstacle problems

Cheon Seoung Ryoo; Mitsuhiro T. Nakao

doi:10.1016/j.cam.2003.05.006

Numerical verification of solutions for obstacle problems

Cheon Seoung Ryoo^*, Mitsuhiro T. Nakao

^*この研究の対応する著者

研究成果: Article › 査読

3 被引用数 (Scopus)

抄録

This article is an extension of the previous paper (Numer. Math. 81 (1998) 305) by the same authors. We propose a method to prove the existence of solutions for more general obstacle problems by numerical computations. The main task in this paper consists of the numerical determination of some constants which appear in a priori error estimations for the finite element approximation of a simple variational inequality. We present a numerical example for verification.

本文言語	English
ページ（範囲）	405-416
ページ数	12
ジャーナル	Journal of Computational and Applied Mathematics
巻	161
号	2
DOI	https://doi.org/10.1016/j.cam.2003.05.006
出版ステータス	Published - 2003 12月 15
外部発表	はい

ASJC Scopus subject areas

計算数学
応用数学

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10.1016/j.cam.2003.05.006

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AB - This article is an extension of the previous paper (Numer. Math. 81 (1998) 305) by the same authors. We propose a method to prove the existence of solutions for more general obstacle problems by numerical computations. The main task in this paper consists of the numerical determination of some constants which appear in a priori error estimations for the finite element approximation of a simple variational inequality. We present a numerical example for verification.

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KW - Numerical verification

KW - Obstacle problems

KW - Quadratic programming

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Numerical verification of solutions for obstacle problems

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