作者： Xiong, Chunguang;Xie, Manting;Luo, Fusheng;Su, Hongling （¹Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China;²Center for Applied Mathematics, Tianjin University, Tianjin 300072, China;³Third Institute of Oceanography, Ministry of Natural Resources, Xiamen, Fujian, 361005, China;⁴School of mathematics, Renmin University of China, 100872, China）

出处： Computers & Mathematics with Applications. An International Journal 2023 Vol.144 P90-99

摘要： In the current paper, we introduce an error analysis method and a new procedure to accelerate the convergence of finite element (FE) approximation of ...

作者： Liang Wang¹;1;Xinpeng Yuan²;2;Chunguang Xiong³;CA3 （¹Coordinated Innovation Center for Computable Modelling in Management Science, Tianjin University of Finance and Economics, Tianjin, 300222, China;²State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, China Meteorological Administration, Beijing 100081, China;³Department of Mathematics, MIIT Key Laboratory of Mathematical Theory and Computation in Information Security, Beijing Institute of Technology, Beijing, 100081, China）

出处： Computer Methods in Applied Mechanics and Engineering 2023 Vol.403 Part A P115638

关键词： Convection problems on surfaces;Discontinuous Galerkin;Isogeometric analysis;A priori error analysis

摘要： In this paper, we identify and study the new isogeometric analysis penalty discontinuous Galerkin (DG) methods of convection problems on implicitly de ...

作者： Muhammad Shakhawat Hossain;Chunguang Xiong;Huafei Sun （¹ Department of Mathematics, Beijing Institute of Technology, Beijing, China.）

出处： PloS one 2023 Vol.18 No.3 Pe0277126

摘要： In this research article, a discontinuous Galerkin method with a weighted parameter θ and a penalty parameter γ is proposed for solving the first orde ...

作者： Li, Yu¹;Xie, Manting²;Xiong, Chunguang³; （¹ Tianjin Univ Finance & Econ, Coordinated Innovat Ctr Computable Modeling Manag, Tianjin 300222, Peoples R China. ;² Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China. ;³ Beijing Inst Technol, Dept Math, Beijing Key Lab Math Characterizat Anal & Applica, Beijing 102488, Peoples R China.）

出处： JOURNAL OF SCIENTIFIC COMPUTING 2022 Vol.93 No.3

关键词： FINITE-ELEMENT APPROXIMATIONS; A-PRIORI; ORDER CONVERGENCE; ERROR ANALYSIS; LOWER BOUNDS; DISCRETIZATION; EXTRAPOLATION; POSTERIORI

摘要： In this paper, we consider the numerical approximation of a biharmonic eigenvalue problem by introducing a new family of the mixed method. This method ...

作者： Wang,Liang¹²;Yuan,Xinpeng³;Xiong,Chunguang²;Wu,Huibin²; （¹Coordinated Innovation Center for Computable Modelling in Management Science, Tianjin University of Finance and Economics, Tianjin, 300222, China;²Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, China;³State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, China Meteorological Administration, Beijing, 100081, China）

出处： Computer Methods in Applied Mechanics and Engineering 2022 Vol.390

摘要： In this paper, we extend the discontinuous Galerkin (DG) isogeometric analysis (IgA) methods to solve nonlinear convection (Burgers) problems on impli ...