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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.13 No.3
- 발행연도
- 2009.8
- 수록면
- 169 - 180 (12page)
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초록· 키워드
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A discontinuous Galerkin method with interior penalty terms is presented for linear Sobolev equation. On appropriate finite element spaces, we apply a symmetric interior penalty Galerkin method to formulate semidiscrete approximate solutions. To deal with a damping term ∇ㆍ(∇u<SUB>t</SUB>) included in Sobolev equations, which is the distinct character compared to parabolic differential equations, we choose special test functions. A priori error estimate for the semidiscrete time scheme is analyzed and an optimal L<SUP>∞</SUP>(L²) error estimation is derived.
목차
ABSTRACT
1. INTRODUCTION
2. MODEL PROBLEMS AND ASSUMPTIONS
3. NOTATIONS AND DISCONTINUOUS GALERKIN APPROXIMATIONS
4. OPTIMAL L∞(L²) ERROR ESTIMATE
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2009-410-018856381