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| 1 | A hybridized weak Galerkin finite element scheme for the Stokes equations显示文摘In this paper a hybridized weak Galerkin(HWG) finite element method for solving the Stokes equations in the primary velocity-pressure formulation is introduced.The WG method uses weak functions and their weak derivatives which are defined as distributions.Weak functions and weak derivatives can be approximated by piecewise polynomials with various degrees.Different combination of polynomial spaces leads to different WG finite element methods,which makes WG methods highly flexible and efficient in practical computation.A Lagrange multiplier is introduced to provide a numerical approximation for certain derivatives of the exact solution.With this new feature,the HWG method can be used to deal with jumps of the functions and their flux easily.Optimal order error estimates are established for the corresponding HWG finite element approximations for both primal variables and the Lagrange multiplier.A Schur complement formulation of the HWG method is derived for implementation purpose.The validity of the theoretical results is demonstrated in numerical tests. | ZHAI QiLong ZHANG Ran WANG XiaoShen | 2015 | Science China Mathematics2015，58，11： | 10 |
| 2 | Circulating tumor cells(CTCs)in breast cancer:a diagnostic tool for prognosis and molecular analysis显示文摘Metastatic breast cancer(MBC)is characterized by a combination of tumor growth,proliferation and metastatic progression and is typically managed with palliative intent.The benefit of standard systemic therapies is relatively limited and the disease is considered incurable suggesting the need to investigate the biological drivers of the various phases of the metastatic process in order to improve the selection of molecularly driven therapies.The detection,enumeration and molecular analysis of circulating tumor cells(CTCs)provide an intriguing opportunity to advance this knowledge.CTCs enumerated by the Food and Drugs Administration-cleared CellSearch TM system are an independent prognostic factor of progressionfree survival(PFS)and overall survival(OS)in MBC patients.Several published papers demonstrated the poor prognosis for MBC patients that presented basal CTC count ≥5 in 7.5mL of blood.Therefore,the enumeration of CTCs during treatment for MBC provides a tool with the ability to predict progression of disease earlier than standard timing of anatomical assessment using conventional radiological tests.During the metastatic process cancer cells exhibit morphological and phenotypic plasticity undergoing epithelialmesenchymal transition(EMT).This important phenomenon is associated with down regulation of epithelial marker(e.g.,EpCAM)with potential limitations in the applicability of current CTCs enrichment methods.Such observations translated in a number of investigations aimed at improving our capabilities to enumerate and perform molecular characterization of CTCs.Theoretically,the phenotypic analysis of CTCs can represent a 'liquid' biopsy of breast tumor that is able to identify a new potential target against the metastatic disease and advance the development and monitoring of personalized therapies. | Xiaoshen Dong R.Katherine Alpaugh Massimo Cristofanilli | 2012 | Chinese Journal of Cancer Research2012，24，4： | 5 |
| 3 | A MODIFIED WEAK GALERKIN FINITE ELEMENT METHOD FOR SOBOLEV EQUATION显示文摘为 Sobolev 方程,我们在场一个新数字计划基于一个修改弱 Galerkin 有限元素方法,微分操作员被部分被弱形式通过平常的集成在接近。特别地,数字方法允许不连续的有限元素功能的使用和元素的任意的形状。在分离 H1 和 L2 标准的最佳的顺序错误估计为相应修改弱 Galerkin 有限元素答案被建立。最后,一些数字结果被给验证理论结果。[从作者抽象] | Fuzheng Gao Xiaoshen Wang | 2015 | Journal of Computational Mathematics2015，33，3： | 4 |
| 4 | An alternating direction method of multipliers for elliptic equation constrained optimization problem显示文摘We propose an alternating direction method of multipliers(ADMM)for solving the state constrained optimization problems governed by elliptic equations.The unconstrained as well as box-constrained cases of the Dirichlet boundary control,Robin boundary control,and right-hand side control problems are considered here.These continuous optimization problems are transformed into discrete optimization problems by the finite element method discretization,then are solved by ADMM.The ADMM is an efficient first order algorithm with global convergence,which combines the decomposability of dual ascent with the superior convergence properties of the method of multipliers.We shall present exhaustive convergence analysis of ADMM for these different type optimization problems.The numerical experiments are performed to verify the efficiency of the method. | ZHANGKai LI JingShi SONG YongCun WANG XiaoShen | 2017 | Science China Mathematics2017，60，2： | 4 |
| 5 | Hypoxia Inducible Factor-1α and Vascular Endothelial Growth Factor Expression are Associated with a Poor Prognosis in Patients with Nasopharyngeal Carcinoma Receiving Radiotherapy with Carbogen and Nicotinamide显示文摘 | Lu Xueguan Wang Xiaoshen Zhang Yongsheng Hu Chaosu Shen Chunying Feng Yan | 2008 | Clinical Oncology2008，，8： | 3 |
| 6 | FINITE ELEMENT METHODS FOR THE NAVIER-STOKES EQUATIONS BY H(div)ELEMENTS显示文摘我们由使用遵守有限元素的 H (div ) 为海军司烧方程导出并且分析一个新数字计划。很多努力为片被给一些 Sobolev 类型不平等的一个机构明智的光滑的功能。特别地,最新导出的 Sobolev 不平等被采用为 H (div ) 提供一个数学理论有限元素,计划。例如,新有限元素计划有以输入数据承认某个围住的海角的答案,这被证明。解决方案唯一也是可能的输入数据什么时候满足某个小条件。为相应有限元素答案的最佳顺序的错误估计在各种各样的 Sobolev 标准被建立。从新计划的有限元素溶液展示高度在科学计算被要求的连续性方程的完整的满足。 | Junping Wang Xiaoshen Wang Xiu Ye | 2008 | Journal of Computational Mathematics2008，26，3： | 3 |
| 7 | Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form显示文摘 | Ruishu WANG Xiaoshen WANG Kai ZHANG Qian ZHOU | 2018 | Frontiers of Mathematics in China2018，13，5： | 2 |
| 8 | Hy- poxia inducible factor-lalpha and vascular endothelial growth factor expression are associated with a poor prognosis in patients with nasopharyngeal carcinoma receiving radiotherapy with carbogen and nicotinamide 显示文摘 | XUEGUAN L XIAOSHEN W YONGSHENG Z | 2008 | Clin Onco12008，20，8： | 1 |
| 9 | Behavior of reinforced concrete short column under high axial load显示文摘 | Zhou Xiaoshen Satoh Toshio Jiang Weishan Ono Arata Shimizu Yasushi | 1987 | Transactions of the Japan Concrete Institute1987，9，6： | 1 |
| 10 | HOMOTOPY CONTINUATION METHODS FOR STOCHASTIC TWO-POINT BOUNDARY VALUE PROBLEMS DRIVEN BY ADDITIVE NOISES显示文摘在这份报纸,为添加剂噪音驾驶的随机的二点的边界价值问题的 homotopy 继续方法被学习。homotopy 方程的答案的存在被证明。数字计划被构造,错误估计被获得。数字实验在象射击方法那样的另外的通常使用的方法上表明 homotopy 继续方法的有效性。[从作者抽象] | Yanzhao Cao PengWang Xiaoshen Wang | 2014 | Journal of Computational Mathematics2014，32，6： | 1 |
| 11 | The three-dimensional fuzzy sets andtheir cut sets显示文摘 | Li Xiaoshen Yuan Xuehai Lee E S | | 0，，07： | 1 |
| 12 | Hypoxia inducible factor-1alpha and vascular endothelial growth factor expression are associated with nasopharyngeal carcinoma receiving radiotherapy with carbogen and nicotinamide显示文摘 | Xueguan L Xiaoshen W Yongsheag Z | | 0，，： | 1 |
| 13 | Role of chemoradiotherapy in intermediate prognosis nasopharyngeal carcinoma显示文摘 | Tingting Xu Chaosu Hu Xiaoshen Wang | | 0，，： | 1 |
| 14 | Hypoxia inducible factor-1 alpha and vascular endothelial growth factor expression are associated with a poor prognosis in patients with nasopharyn geal carcinoma receiving radiotherapy with carbogen and nicotin amide显示文摘 | Xueguan L Xiaoshen W Yongsheng Z | 2008 | Clin Oncol2008，20，8： | 1 |
| 15 | Hypoxia inducible factor - 1 alpha and vascular endothelial growth factor ex- pression are associated with a poor prognosis in patients with naso- pharyngeal carcinoma receiving radiotherapy with carbogen and nicotinamide显示文摘 | XUEGUAN L XIAOSHEN W YONGSHENG Z | 2008 | Clin Oncol ( R Coil Radiol)2008，20，8： | 1 |
| 16 | Kinetic studies of methane hydrate formation in porous media based on experiments in a pilot-scale hydrate simulator and a new model显示文摘 | Li Bo Li Xiaoshen Li Gang | 2014 | Chemical Engineering Science2014，105，： | 1 |
| 17 | Behavior of reinforced concrete short column under high axial load显示文摘 | Zhou Xiaoshen Satoh toshio Jiang Weishan Ono Arata Shimizu Yasushi | 1987 | Transaction of the Japan Concrete Institute1987，9，6： | 1 |
| 18 | Sima Wensen: A Pioneer for China-France Cultural Exchange显示文摘January.27th,2014 marked a monumental date.50 years ago today,China and France issued a joint communiquéand declared the establishment of diplomatic ties.On June 6th,1964,China and France successfully established diplomatic relations,which ushered in a new era for the diplomacy of new China. | Sima Xiaoshen | 2014 | China & The World Cultural Exchange2014，80，4： | 0 |
| 19 | A stabilizer-free C^(0) weak Galerkin method for the biharmonic equations显示文摘In this article, we present and analyze a stabilizer-free C^(0)weak Galerkin(SF-C^(0)WG) method for solving the biharmonic problem. The SF-C^(0)WG method is formulated in terms of cell unknowns which are C^(0)continuous piecewise polynomials of degree k + 2 with k≥0 and in terms of face unknowns which are discontinuous piecewise polynomials of degree k + 1. The formulation of this SF-C^(0)WG method is without the stabilized or penalty term and is as simple as the C1conforming finite element scheme of the biharmonic problem. Optimal order error estimates in a discrete H^(2)-like norm and the H^(1)norm for k≥0 are established for the corresponding WG finite element solutions. Error estimates in the L^(2)norm are also derived with an optimal order of convergence for k > 0 and sub-optimal order of convergence for k = 0. Numerical experiments are shown to confirm the theoretical results. | Peng Zhu Shenglan Xie Xiaoshen Wang | 2023 | Science China Mathematics2023，66，3： | 0 |
| 20 | A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques显示文摘Based on the auxiliary subspace techniques,a posteriori error estimator of nonconforming weak Galerkin finite element method(WGFEM)for Stokes problem in two and three dimensions is presented.Without saturation assumption,we prove that the WGFEM approximation error is bounded by the error estimator up to an oscillation term.The computational cost of the approximation and the error problems is considered in terms of size and sparsity of the system matrix.To reduce the computational cost of the error problem,an equivalent error problem is constructed by using diagonalization techniques,which needs to solve only two diagonal linear algebraic systems corresponding to the degree of freedom(d.o.f)to get the error estimator.Numerical experiments are provided to demonstrate the effectiveness and robustness of the a posteriori error estimator. | Jiachuan Zhang Ran Zhang Xiaoshen Wang | 2023 | Communications in Computational Physics2023，33，2： | 0 |
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