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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.11 No.2
- 발행연도
- 2007.6
- 수록면
- 67 - 77 (11page)
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This paper is concerned with the proof of so-called Bramble-Hilbert Lemma. We present that Poincare's inequality in [3] implies one of results of Morrey which is crucial in the proof. In this point of view, we recognize that removing the average term in Poincare's inequality fulfills a crucial role in the proof of Bramble-Hilbert Lemma. It is accomplished by adding some polynomial of degree one less than the degree of the Sobolev space in the outset. So, the condition annihilating the set of polynomials P<SUB>k</SUB>?₁ of degree k - 1 is required necessarily in Bramble-Hilbert Lemma.
목차
Abstract
1. Introduction
2. Notation and Preliminaries
3. Estimation of linear functionals
4. Consideration on the preceding section
5. Conclusion and Discussion
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2009-410-014694081