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ÇóÅ£È˰ïæ²éѯÈýƪEIÂÛÎĵļìË÷ºÅ£º 1.ÂÛÎÄÃû£ºA Direct Discontinuous Galerkin Method for Nonlinear Schrödinger Equation ×÷ÕߣºZHANG Rongpei, YU Xijun, ZHAO Guozhong ÆÚ¿¯£ºCHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(2): 175-182. 2. ÂÛÎÄÃû£ºDiscontinuous Finite Element Method for 1D Non-equilibrium Radiation Diffusion Equations ×÷ÕߣºZHANG Rongpei, YU Xijun, CUI Xia, FENG Tao ÆÚ¿¯£ºCHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(5): 641-646. 3.ÂÛÎÄÃû£ºImplicit-explicit Integration Factor Discontinuous Galerkin Method for 2D Radiation Diffusion Equations ×÷ÕߣºZHANG Rongpei, YU Xijun, CUI Xia, FENG Tao ÆÚ¿¯£ºCHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(5): 647-653. 4. ÂÛÎÄÃû£ºRKDG Finite Element Method for Two-dimensional Gas Dynamic Equations in Lagrangian Coordinate ×÷ÕߣºZHAO Guozhong, YU Xijun, ZHANG Rongpei. ÆÚ¿¯£ºCHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(2): 166-174. |
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è¾è¾: ½ð±Ò+1, ¸ÐлÌṩÓмÛÖµµÄÓ¦ÖúÐÅÏ¢£¡ 2012-12-23 11:50:56
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Óи¶³ö¾ÍÓÐÊÕ»ñ£¬¹§Ï²£¡ £££££££££££££££££££££££££££££££££ Accession number: 20121915007939 Title: A direct discontinuous Galerkin method for nonlinear Schrödinger equation Authors: Zhang, Rongpei1 ; Yu, Xijun2; Zhao, Guozhong2 Author affiliation: 1 School of Sciences, Liaoning Shihua University, Fushun 113001, China 2 Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China Corresponding author: Zhang, R. (rongpeizhang@163.com) Source title: Jisuan Wuli/Chinese Journal of Computational Physics Abbreviated source title: Jisuan Wuli Volume: 29 Issue: 2 Issue date: March 2012 Publication year: 2012 Pages: 175-182 Language: Chinese ISSN: 1001246X CODEN: JIWUEP Document type: Journal article (JA) Publisher: Editorial Board of Chinese Journal of Computational, P.O.Box 8009, Beijing, 100088, China Abstract: We discuss numerical simulation of one- and two-dimensional nonlinear Schro¨dinger (NLS) equations (NLS). With numerical flux of diffusive generalized Riemann problem, a direct discontinuous Galerkin (DDG) method is proposed. L2 stability of the DDG scheme is proved and it is shown that it is a conservative numerical scheme. The one-dimensional case indicates that the DDG scheme simulates various kinds of soliton propagations and it has excellent long-time numerical behaviors. Two-dimensional numerical results demonstrate that the method has high accuracy and is capable of capturing strong gradients. Number of references: 23 Main heading: Nonlinear equations Controlled terms: Convergence of numerical methods - Galerkin methods - Numerical methods - Solitons - Two dimensional Uncontrolled terms: Dinger equation - Discontinuous galerkin - Discontinuous Galerkin methods - Numerical flux - Numerical results - Numerical scheme - Riemann problem - Soliton propagation Classification code: 902.1 Engineering Graphics - 921.1 Algebra - 921.6 Numerical Methods Database: Compendex Compilation and indexing terms, © 2012 Elsevier Inc. Full-text and Local Holdings Links ------------------------------------------------------------------------------------------------------------------------------------------------- Accession number: 20124415630870 Title: Discontinuous finite element method for 1D non-equilibrium radiation diffusion equations Authors: Zhang, Rongpei1, 3 ; Yu, Xijun2; Cui, Xia2; Feng, Tao3 Author affiliation: 1 School of Sciences, Liaoning ShiHua University, Fushun 113001, China 2 Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China 3 Graduate School, China Academy of Engineering Physics, Beijing 100088, China Corresponding author: Zhang, R. (rongpeizhang@163.com) Source title: Jisuan Wuli/Chinese Journal of Computational Physics Abbreviated source title: Jisuan Wuli Volume: 29 Issue: 5 Issue date: September 2012 Publication year: 2012 Pages: 641-646 Language: Chinese ISSN: 1001246X CODEN: JIWUEP Document type: Journal article (JA) Publisher: Editorial Board of Chinese Journal of Computational, P.O.Box 8009, Beijing, 100088, China Abstract: We discuss numerical simulation of one-dimensional non-equilibrium radiation diffusion equations. A weighted numerical flux between adjacent grid cells is obtained by solving heat conduction equation with discontinuous coefficient. With this numerical flux of diffusive generalized Riemann problem (dGRP), a discontinuous finite element method is proposed for radiation diffusion equations. A backward Euler time discretization is applied for semi-discrete form and a Picard iteration is used to solve nonlinear system of equations. Numerical results demonstrate that the method has a capability of capturing strong gradients and can be accommodated to discontinuous diffusion coefficient. Number of references: 15 Main heading: Partial differential equations Controlled terms: Computer simulation - Diffusion - Euler equations - Finite element method - Iterative methods - Numerical methods Uncontrolled terms: Backward Euler - Discontinuous coefficients - Discontinuous finite element method - Grid cells - Heat conduction equations - Non-equilibrium radiation - Numerical flux - Numerical results - Picard iteration - Radiation diffusion equation - Riemann problem - System of equations - Time discretization Classification code: 723.5 Computer Applications - 921 Mathematics - 931.1 Mechanics Database: Compendex Compilation and indexing terms, © 2012 Elsevier Inc. Full-text and Local Holdings Links ------------------------------------------------------------------------------------------------------------------------------------------------- Accession number: 20124415630871 Title: Implicit-explicit integration factor discontinuous Galerkin method for 2D radiation diffusion equations Authors: Zhang, Rongpei1 ; Yu, Xijun2; Cui, Xia2; Feng, Tao2 Author affiliation: 1 School of Sciences, Liaoning ShiHua University, Fushun 113001, China 2 National Key Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China Corresponding author: Zhang, R. (rongpeizhang@163.com) Source title: Jisuan Wuli/Chinese Journal of Computational Physics Abbreviated source title: Jisuan Wuli Volume: 29 Issue: 5 Issue date: September 2012 Publication year: 2012 Pages: 647-653 Language: Chinese ISSN: 1001246X CODEN: JIWUEP Document type: Journal article (JA) Publisher: Editorial Board of Chinese Journal of Computational, P.O.Box 8009, Beijing, 100088, China Abstract: A numerical method is developed for two-dimensional nonequilibrium radiation diffusion equations. Discontinuous Galerkin method is applied in spatial discretization in which numerical flux is constructed with weighted flux averages. Implicit-explicit integration factor method for time discretization is applied to nonlinear ordinary differential equations which is obtained with discontinuous Galerkin method. Radiation diffusion equations with multiple materials are solved on unstructured grids in numerical tests. It demonstrates that the method is effective for high nonlinear and tightly coupled radiation diffusion equations. Number of references: 24 Main heading: Integral equations Controlled terms: Galerkin methods - Integration - Ordinary differential equations - Partial differential equations - Two dimensional Uncontrolled terms: Discontinuous Galerkin finite-element method - Integration factor - Radiation diffusion equation - Unstructured grid - Weighted averages Classification code: 902.1 Engineering Graphics - 921.2 Calculus - 921.6 Numerical Methods Database: Compendex Compilation and indexing terms, © 2012 Elsevier Inc. Full-text and Local Holdings Links ------------------------------------------------------------------------------------------------------------------------------------------------- Accession number: 20121915007938 Title: RKDG finite element method for two-dimensional gas dynamic equations in Lagrangian coordinate Authors: Zhao, Guozhong1, 2 ; Yu, Xijun1; Zhang, Rongpei1 Author affiliation: 1 Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China 2 Faculty of Mathematics, Baotou Teachers College, Baotou 014030, China Corresponding author: Zhao, G. (zhaoguozhongbttc@sina.com) Source title: Jisuan Wuli/Chinese Journal of Computational Physics Abbreviated source title: Jisuan Wuli Volume: 29 Issue: 2 Issue date: March 2012 Publication year: 2012 Pages: 166-174 Language: Chinese ISSN: 1001246X CODEN: JIWUEP Document type: Journal article (JA) Publisher: Editorial Board of Chinese Journal of Computational, P.O.Box 8009, Beijing, 100088, China Abstract: We construct a Runge-Kutta discontinuous Galerkin (RKDG) finite element method for two-dimensional compressible gas dynamic equations in Lagrangian coordinate. The equations for fluid dynamics and geometry conservation laws are solved simultaneously. All calculations can be done on fixed meshes. Information of grid velocities are not needed in calculation. Several numerical examples are used to evaluate efficiency and reliability of the scheme. It shows that the algorithm works well. Number of references: 26 Main heading: Gas dynamics Controlled terms: Finite element method - Galerkin methods - Incompressible flow - Runge Kutta methods Uncontrolled terms: Compressible gas dynamics - Conservation law - Efficiency and reliability - Fixed mesh - Lagrangian coordinate - Numerical example - RKDG finite element method - Runge-Kutta discontinuous Galerkin - Two-dimensional gas Classification code: 631.1.2 Gas Dynamics - 921.6 Numerical Methods Database: Compendex Compilation and indexing terms, © 2012 Elsevier Inc. Full-text and Local Holdings Links |

2Â¥2012-12-23 09:56:27
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Aaron_2011
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