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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.9 No.1
- 발행연도
- 2005.6
- 수록면
- 17 - 29 (13page)
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In this paper we consider ?nite element methods for nonlinear hyperbolic integro-differential problems de?ned in Ω⊂R<SUP>d</SUP>(d≤4). A new initial approximation of u<SUB>t</SUB>(0) is taken. Optimal order error estimates in L<SUB>p</SUB> for 2 ≤ p ≤ ∞ are established for arbitrary order ?nite element. One order superconvergence in W<SUP>1,p</SUP> for 2 ≤ p ≤ ∞ are demonstrated as well.
목차
ABSTRACT
1. INTRODUCTION
2. LEMMAS
3. ERROR ESTIMATES AND SUPERCONVERGENCE FOR 2 ≤ p ＜ ∞
4. ERROR ESTIMATES AND SUPERCONVERGENCE FOR p = ∞
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2009-410-014676812