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FINITE VOLUME ELEMENT METHODS FOR NONLINEAR PARABOLIC INTEGRODIFFERENTIAL PROBLEMS
LI, HUANRONG,LI, QIAN 한국산업정보응용수학회 2003 한국산업정보응용수학회 Vol.7 No.2
In this paper, finite volume element methods for nonlinear parabolic integrodifferential problems are proposed and analyzed. The optimal error estimates in L^(P) and W^(1,p)(2≤p≤∞) as well as some superconvergence estimates in W^(1,p)(2≤p≤∞) are obtained. The main results in this paper perfect the theory of FVE methods.
GENERALIZED DIFFERENCE METHODS FOR ONE-DIMENSIONAL VISCOELASTIC PROBLEMS
HUANRONG LI 한국산업응용수학회 2005 Journal of the Korean Society for Industrial and A Vol.9 No.2
In this paper, generalized difference methods(GDM) for one-dimensional viscoelastic problems are proposed and analyzed. The new initial values are given in the generalized difference scheme, so we obtain optimal error estimates in L<SUP>P</SUP> and W¹P(2≤p≤∞) as well as some superconvergence estimates in W¹<SUP>,</SUP><SUP>P</SUP>(2≤p≤∞) between the GDM solution and the generalized Ritz-Volterra projection of the exact solution.
Fengyang Shi,Qiuming Li,Zhanming Zou,Yang Wang,Xiaolin Hou,Yonghong Zhang,Qinye Song,Shuanghai Zhou,Huanrong Li 대한수의학회 2020 Journal of Veterinary Science Vol.21 No.5
Background: Enteritis is one of the most frequently reported symptoms in piglets infected with porcine circovirus type 2 (PCV2), but the immunopathogenesis has not been reported. Objectives: This study examined the effect of a PCV2 infection on the intestinal mucosal immune function through morphological observations and immune-related molecular detection. Methods: Morphological changes within the ileum of piglets during a PCV2 infection were observed. The expression of the related-molecules was analyzed using a gene chip. The immunocyte subsets were analyzed by flow cytometry. The secretory immunoglobulin A (SIgA) content was analyzed by enzyme-linked immunosorbent assay. Results: The PCV2 infection caused ileal villus damage, intestinal epithelial cells exfoliation, and an increase in lymphocytes in the lamina propria at 21 days post-infection. Differentially expressed genes occurred in the defense response, inflammatory response, and the complement and coagulation cascade reactions. Most of them were downregulated significantly at the induction site and upregulated at the effector site. The genes associated with SIgA production were downregulated significantly at the induction site. In contrast, the expression of the Toll-like receptor-related genes was upregulated significantly at the effector site. The frequencies of dendritic cells, B cells, and CD8+T cells were upregulated at the 2 sites. The SIgA content decreased significantly in the ileal mucosa. Conclusions: PCV2 infections can cause damage to the ileum that is associated with changes in immune-related gene expression, immune-related cell subsets, and SIgA production. These findings elucidated the molecular changes in the ileum after a PCV2 infection from the perspective of intestinal mucosal immunity, which provides insights into a further study for PCV2-induced enteritis.