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THE MORTAR ELEMENT METHOD FOR A NONLINEAR BIHARMONIC EQUATION

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Journal of Computational Mathematics 2005年第5期23卷 537-560页

作者： Shi, ZC Xu, XJ CHINESE acad sci

The mortar element method is a new domain decomposition method（DDM） with nonoverlapping subdomains. It can handle the situation where the mesh on different subdomains need not align across interfaces, and the matching of discretizations on adjacent subdomains is only enforced weakly. But until now there has been very little work for nonlinear PDEs. In this paper, we will present a mortar-type Morley element method for a nonlinear biharmonic equation which is related to the well-known Navier-Stokes equation. Optimal energy and H^1-norm estimates are obtained under a reasonable elliptic regularity assumption.

关键词： Mortar method Nonlinear biharmonic equation H^1-norm error Energy norm error

A PRECONDITIONER FOR COUPLING SYSTEM OF NATURAL BOUNDARY ELEMENT AND COMPOSITE GRID FINITE ELEMENT

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Journal of Computational Mathematics 2002年第2期20卷 165-174页

作者： Qi-ya Hu De-hao Yu Chinese acad sci Acad Math & Syst Sci ICMSEC LSEC Beijing 100080 Peoples R China

Discusses a coupling boundary element methods with finite element method for the Dirichlet exterior problems. Information on the natural boundary reduction; Discussion on the composite grid discretization; Details on ... 详细信息

关键词： natural boundary reduction composite grid error estimate preconditioner condition number

Identification of the Elusive Chloroplast Ascorbate Transporter Extends the Substrate Specificity of the PHT Family

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Molecular Plant 2015年第5期8卷 674-676页

作者： Fernie, Alisdair R. Toth, Szilvia Z. Max Planck Inst Mol Plant Physiol D-14476 Potsdam Germany hungarian acad sci Inst Plant Biol Biol Res Ctr H-6701 Szeged Hungary

Most of the enzymatic reactions of ascorbate biosynthesis occur in the cytosol, with the exception of the terminal step, catalyzed by L-galactono-l,4-1actone dehydrogenase, which is localized on the inner mitochondrial membrane. Given the location of L-galactono-l,4-1actone dehydrogenase, the rate of ascorbate biosynthesis is intimately associated with the rate of mitochon- drial respiration （Nunes-Nesi et al., 2005）. Ascorbate has legion roles in the plant cell including mitosis, cell division, expansion and cell wall hydroxylation, hormone biosynthesis, signal transduction, programmed cell death, as well as protection against environmental stresses via detoxification of reactive oxygen species and regeneration of other antioxidants. This list has recently expanded with the epigenetic role exerted as a cofactor for DNA and histone demethylases in the nucleus and ascorbate may also be implicated in iron uptake （Pick and Weber, 2014）.

关键词： ElusiveChloroplast Extends Specificity

HIGH ACCURACY ANALYSIS OF THE WILSON ELEMENT

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Journal of Computational Mathematics 1999年第2期17卷 113-124页

作者： Luo, P Lin, Q Chinese acad sci Inst Math Beijing 100080 Peoples R China Chinese acad sci Inst Syst Sci Beijing 100080 Peoples R China

In this paper, the Wilson nonconforming finite element is considered for solving a class of second-order elliptic boundary value problems. Based on an asymptotic error expansion for the Wilson finite element, the glob... 详细信息

关键词： finite elements defect correction global superconvergence Wilson element

A NOTE ON THE NONLINEAR CONJUGATE GRADIENT METHOD

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Journal of Computational Mathematics 2002年第6期20卷 575-582页

作者： Dai, Yu-hong Yuan, Ya-xiang Chinese acad sci Acad Math & Syst Sci Inst Computat Math & Sci Engn Comput State Key Lab Sci & Engn Comput Beijing 100080 Peoples R China

Discusses several aspects of the linear conjugate gradient method for unconstrained optimization problems. General condition concerning the scalar; Convergence of the famous Fletcher-Reeves and Polak-Ribiere-Polyak co... 详细信息

关键词： unconstrained optimization conjugate gradient line search global convergence

Characterization of the Songhua River sediments and evaluation of their adsorption behavior for nitrobenzene

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Journal of Environmental sciences 2008年第7期20卷 796-802页

作者： Liu Ruiping Liu Huijuan Wan Dongjin Yang Min Chinese acad sci Ecoenvironm Sci Res Ctr Beijing 100085 Peoples R China Chinese acad sci Grad Univ Beijing 100049 Peoples R China

The explosion at a plant of the Jilin Petrochemical Corporation on 13 November,2005,and the spill of an estimated 100 t of toxic substances (nitrobenzene as the main component) into the Songhua River received worldwide *** study has focused on the adsorption behavior of nitrobenzene that spilled onto sediments along the Songhua River,which was one of the efforts to evaluate the fate of nitrobenzene after the spillage *** organic carbon contents of these sediments along the Songhua River var...

关键词： nitrobenzene adsorption sediment characteristics organic carbon content particle size distribution

Analysis and design for the second order nonlinear continuous extended states observer

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Chinese science Bulletin 2000年第21期45卷 1938-1944页

作者： Yi Huang Jingqing Han Chinese acad sci Acad Math & Syst Sci Inst Syst Sci Beijing 100080 Peoples R China

The extended state observer (ESO) is a novel observer for a class of uncertain systems. Since ESO adopts the continuous non-smooth structure, the classical observer design theory is hard to use for ESO analysis. In this note, the self-stable region (SSR) approach, which is a nonlinear synthesis method for nonlinear uncertain systems, will be used for ESO design and its stability analysis. The advantages of the non-smooth structure in ESO for improving the convergence properties and the estimation precision will be shown.

关键词： extended state observer (ESO) continuous non-smooth structure self-stable region (SSR) method.

Soil fungistasis and its relations to soil microbial composition and diversity:A case study of a series of soils with different fungistasis

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Journal of Environmental sciences 2008年第7期20卷 871-877页

作者： Wu Minna Zhang Huiwen Ll Xinyu Zhang Yan Su Zhencheng Zhang Chenggang Chinese acad sci Inst Appl Ecol Shenyang 110016 Peoples R China Chinese acad sci Grad Univ Beijing 100039 Peoples R China

Fungistasis is one of the important approaches to control soil-borne plant *** hypotheses about the mechanisms for soil fungistasis had been established,which mainly focused on the soil bacterial community composition,structure,diversity as well as *** this study,the bacterial community composition and diversity of a series of soils treated by autoclaving,which coming from the same original soil sample and showing gradient fungistasis to the target soil-borne pathogen fungi Fusarium grami...

关键词： soil fungistasis 16S rDNA clone library microbial diversity bacterial community composition

SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN METHOD FOR NONSTATIONARY HYPERBOLIC EQUATION

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Journal of Computational Mathematics 2002年第4期20卷 429-436页

作者： Chen, Y Lin, JF Lin, Q Chinese acad sci Acad Math & Syst Sci ICMSEC LSEC Beijing 100080 Peoples R China

For the first order nonstationary hyperbolic equation taking the piecewise linear discontinuous Galerkin solver, we prove that under the uniform rectangular partition, such a discontinuous solver, after postprossesing, can have two and half approximative order which is half order higher than the optimal estimate by Lesaint and Raviart under the rectangular partition.

关键词： discontinuous Galerkin method hyperbolic equation nonstationary superconvergence