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1Academic Journal
المؤلفون: LIWei(李蔚)
المصدر: Zhejiang Daxue xuebao. Lixue ban, Vol 37, Iss 6, Pp 633-639 (2010)
مصطلحات موضوعية: 椭圆型变分不等式, 修正代数多重网格法, 并行计算, Electronic computers. Computer science, QA75.5-76.95, Physics, QC1-999
وصف الملف: electronic resource
Relation: https://doaj.org/toc/1008-9497
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2Academic Journal
المؤلفون: 王鸣
المساهمون: 北京大学数学系
المصدر: 知网
Relation: 数学进展.1994,(03),250+238-250.; 1014892; http://hdl.handle.net/20.500.11897/13116
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3Report
مصطلحات موضوعية: 计算流体力学, 多重网格方法, 区域分解方法, Euler方程, Computational fluid dynamics, computational fluid mechanics, CFD, materials science computing, mechanical engineering computing, physics computing, charge flow devices, computational aerodynamics
Relation: 力学季刊; 兰黔章,吕晓斌. 全机绕流Euler方程多重网格分区计算方法[J]. 力学季刊,2003,24(2):179-184.; http://dspace.imech.ac.cn/handle/311007/41742
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4Academic Journal
المؤلفون: 吴东兵
المساهمون: 北京大学
المصدر: CSCD
Relation: 北京大学学报. 自然科学版.1992,28(5),557.; 1381255; http://hdl.handle.net/20.500.11897/430696
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5Academic Journal
المؤلفون: 应隆安
المساهمون: 北京大学
المصدر: CSCD
Relation: 计算数学.1992,14(1),118.; 1380944; http://hdl.handle.net/20.500.11897/430597
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6Report
المؤلفون: 盧中仁
المساهمون: 國立臺灣大學機械工程學系暨研究所
جغرافية الموضوع: 計畫年度：90 第二期, 起迄日期：2000-08-01/2001-07-31
وصف الملف: application/pdf; 427165 bytes
Relation: 892212E002109; http://ntur.lib.ntu.edu.tw/handle/246246/15702; http://ntur.lib.ntu.edu.tw/bitstream/246246/15702/1/892212E002109.pdf
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7Report
المؤلفون: 于欣
مصطلحات موضوعية: 交错网格紧致差分格式, 满足等价性, 压力poisson方程, compact difference scheme, staggered mesh, iteration method, Iterative method, multi-grid method, 紧差分格式, 紧致差分格式, 交错网格, 迭代法, Iteration, 多重网格法
Relation: 计算数学; 于欣. 交错网格紧致差分格式和满足等价性的压力Poisson方程[J]. 计算数学,1997,19(1):83.; http://dspace.imech.ac.cn/handle/311007/35278
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8Dissertation/ Thesis
المؤلفون: 吳長哲, Wu, Chang-Che, 葉立明, Yeh, Li-Ming
المساهمون: 應用數學系所
مصطلحات موضوعية: 多重網格法, 不可壓縮, 不可相容, 多孔介質, 水流問題, Navier-Stokes 方程式, 局部守恆, 數值方法, 不連續係數, 橢圓方程式, Laplace 方程式, Poisson 方程式, Transport 部分, Diffusive 部分, Prolongation 運算, Restriction 運算, Neumann 邊界條件, Multigrid method, Incompressible, Immiscible, Porous media, Waterflooding problem, Navier-Stokes equations, LCELM, Numerical simulation, Strongly discontinuous coefficients, Elliptic equation, Laplace equation, Poisson Equation, Transport part
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9
المؤلفون: 黃振禹, Huang, Chen-yu
المساهمون: 淡江大學航空太空工程學系碩士班, 湯敬民, Tang, Jing-min
مصطلحات موضوعية: 無塵室, FDS, 多重網格, 火災, Clean room, Fire, Multi-Grid
وصف الملف: 143 bytes; application/octet-stream
Relation: 1. Jones, W. W., “Modeling smoke movent through compartment structures” ,Proceedings of 12th Joint panel Meeting of the UJNR Panel on Fire research and safety, pp.34-41.1992 2. Dembsey, N., Pagni, P. and Williamson, B., “Compartment Fire Experiment: Comparison with Models”, Fire Safety Journal, Vol.25, pp. 187-228. 1995 3. Chow, W. K., “Prediction of fire environment in apartment using zone models”, Journal of Fire Sciences, Vol. 14,No. 4,pp.263-312. 1996 4. Reneke, P. A. & Peatross, M. J., “A Comparison CFAST Predictions to USCG Real-Scale Fire Tests” , Journal of Fire Protection Engineering, Vol. 11, No.1,pp.43-67. 2001 5. Chow, W. K., “On the ”Cabins” Fire Safety Design Concept in the New Hong Kong Airport Terminal Buildings”, Journal of Fire Sciences, Vol. 15,pp.404-423. 1997 6. Kot, S. C., “Design and Operation of Tunnel Ventilation System under Fire Scenario” , International Journal on Engineering Performance-Based Fire Codes, Vol. 1, No. 3,pp. 168-177. 1999 7. McGrattan, K. B., Baum, H. R. & Rehm, R. G., “Large Eddy Simulations of Smoke Movement” , ASHRAE Transactions: Symposia, Vol. 1,No. 4,pp.426-435. 1999 8. Brooks, W. N., “Predicting the Position of the Smoke Later Interface Height Using NFPA 92B Calculation Methods and a CFD fire Model” ,ASHRAE Transactions: Symposia, Vol. 1,No.3,pp.414-425. 1999 9. Hu, S. C. Wu, Y. Y. and Liu, C. J., “Measurements of Air Flow Characteristics In a Full-Scale clean Room. ” Building Environment, Vol. 31,No. 2. pp.119-128 .1996 10. Davis, W. D. and Notarianni, K. A., 1997 “NASA Fire Dectection Study,” NISTIR 6030 11. Nam, S.,2000 ”Numerical Simulation of Smoke movement In Clean Room Environment” , Fire Safety Journal , Vol. 34 ,pp.169-189 12. NFPA. 1993. “NFPA 92A, Recommended practice for smoke control systems”, Quincy, Mass.: National Fire Protection Association. 13. NFPA. 1991. “NFPA 92B, Guide for smoke management systems in malls, atria, and large areas”, Quincy, Mass.: National Fire Protection Association. 14. 陸忠憲，「潔淨室通風控制與火災煙流」，工業安全科技88年第三十期 15. 黃建平、吳博文，「廠房及密閉環境煙控危害功能性防護系統建立結案報告」，88年六月 16. 邱晨瑋，「十二吋晶圓廠無塵室煙控信能式設計之研究」，97年四月 17. Deardorff, J.W., “ A numerical study of three-dimensional turbulent channel flow at large Reynolds”, J. Fluid Mech.,1970 ,vol. 41,pp.453-480. 18. J. Smagorinsky. General Circulation Experiments with the Primitive Equations. The Basic Experiment. Monthly Weather Review, 91(3):99-164,March 1963 19. H.R. Baum and .B. McGrattan. Simulation of Large Industrial Outdoor Fires. In fire Safety Science- Proceedings of the sixth International Symposium. International Association for fire SafetyScience,2000. 20. NIST, Fire Dynamics Simulation (version4)-Technical Reference Guide,2006. 21. Klote, J.H. and Milke, J.A., “Principle of smoke Management Systems”,ASHRAE and SFPE, 2002.; U0002-2008200903400200; http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/35593; http://tkuir.lib.tku.edu.tw:8080/dspace/bitstream/987654321/35593/1/
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10Dissertation/ Thesis
المؤلفون: 林海峰
المساهمون: 北京大学
المصدر: 万方 ; http://d.g.wanfangdata.com.cn/Thesis_Y1608613.aspx
Relation: 北京大学.; 725118; http://hdl.handle.net/20.500.11897/362591
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11Dissertation/ Thesis
المؤلفون: 李偉任, Lee, Wei-Jen, 吳金典, Wu, Chin-Tien
المساهمون: 應用數學系數學建模與科學計算碩士班
مصطلحات موضوعية: 多重網格, 有限元素法, 奇異解, Multigrid, singular element, singular funciton, FEM, Adaptive mesh-refinement, corner singularities, stress intensity factors, cut-off function
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12Dissertation/ Thesis
المؤلفون: 邹春桃
المساهمون: 北京大学
المصدر: 万方 ; http://d.g.wanfangdata.com.cn/Thesis_Y1413250.aspx
Relation: 北京大学.; 720671; http://hdl.handle.net/20.500.11897/358226
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13Dissertation/ Thesis
المؤلفون: 林仟松, Lin, Chian-Song
المساهمون: 陳宜良, Chern, I-Liang, 臺灣大學:數學研究所
مصطلحات موضوعية: 耦合界面問題, 代數多重網格法, 非等向, 不連續係數, 橢圓界面問題, Coupling interface method, Algebraic multigrid method, Anisotropic, Discontinuous coefficients, Elliptic interface problem
وصف الملف: application/pdf; 2103400 bytes
Relation: U0001-1507200818233400; http://ntur.lib.ntu.edu.tw/handle/246246/180559; http://ntur.lib.ntu.edu.tw/bitstream/246246/180559/1/ntu-97-R95221016-1.pdf
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14Dissertation/ Thesis
المؤلفون: 董憲文, Dong, Xian-Wen
المساهمون: 陳宜良, Chern, I-Liang, 臺灣大學:數學研究所
مصطلحات موضوعية: 靜電勢能, 波瓦松-波茲曼方程式, 藕合界面方法, 阻尼牛頓法, 多重網格法, Poisson-Boltzmann equation, electrostatic potential, coupling interface method, Multigrid method
وصف الملف: application/pdf; 3025270 bytes
Relation: U0001-0907200820485100; http://ntur.lib.ntu.edu.tw/handle/246246/180547; http://ntur.lib.ntu.edu.tw/bitstream/246246/180547/1/ntu-97-R95221025-1.pdf
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15Dissertation/ Thesis
المؤلفون: 吴舒
المساهمون: 北京大学
المصدر: 万方 ; http://d.g.wanfangdata.com.cn/Thesis_Y1181196.aspx
Relation: 北京大学.; 728185; http://hdl.handle.net/20.500.11897/365614
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16Dissertation/ Thesis
المؤلفون: 王鑫
المساهمون: 北京大学
المصدر: 万方 ; http://d.g.wanfangdata.com.cn/Thesis_Y1180757.aspx
Relation: 北京大学.; 727536; http://hdl.handle.net/20.500.11897/364976
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17Dissertation/ Thesis
المؤلفون: 舒宇宸, Shu, Yu-Chen
المساهمون: 陳宜良, 臺灣大學：數學研究所
مصطلحات موضوعية: 橢圓界面問題, 複雜界面, 不連續係數, 奇異項, 多重網格法, elliptic interface problems, complex interface, discontinuous coefficients, singular sources, multigrid method
وصف الملف: 4496818 bytes; application/pdf
Relation: [1] L Adams and TP Chartier, New geometric immersed interface multigrid solvers, SIAM Journal on Scientific Computing 25 (2004), 1516–1533. [2] L Adams and TP Chartier, A comparison of algebraic multigrid and geometric immersed interface multigrid methods for interface problems, SIAM Journal on Scientific Computing 26 (2005), 762–784. [3] L Adams and ZL Li, The immersed interface/multigrid methods for interface problems, SIAM Journal on Scientific Computing 24 (2002), 463–479. [4] JB Bell, CN Dawson, and GR Shubin, An unsplit, higher-order Godunov method for scalar conservation-laws in multiple dimensions, Journal of Computational Physics 74 (1988), 1–24. [5] PA Berthelsen, A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions, Journal of Computational Physics 197 (2004), 364–386. [6] ZM Chen and J Zou, Finite element methods and their convergence for elliptic and parabolic interface problems, Numerische Mathematik 79 (1998), 175–202. [7] Peskin CS, The immersed boundary method, Acta Numerica (2002), 1–39. [8] SZ Deng, K Ito, and ZL Li, Three-dimensional elliptic solvers for interface problems and applications, Journal of Computational Physics 184 (2003), 215–243. [9] MA Dumett and JP Keener, An immersed interface method for anisotropic elliptic problems on irregular domains in 2d, Numerical Methods for Partial Differential Equations 21 (2005), 397–420. [10] RP Fedkiw, T Aslam, B Merriman, and S Osher, A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method), Journal of Computational Physics 152 (1999), 457–492. [11] AL Fogelson and JP Keener, Immersed interface methods for Neumann and related problems in two and three dimensions, SIAM Journal on Scientific Computing 22 (2001), 1630–1654. [12] F Gibou and R Fedkiw, A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the stefan problem, Journal of Computational Physics 202 (2005), 577–601. [13] F Gibou, RP Fedkiw, LT Cheng, and MJ Kang, A second-order-accurate symmetric discretization of the Poisson equation on irregular domains, Journal of Computational Physics 176 (2002), 205–227. [14] J Glimm and OA Mcbryan, A computational model for interfaces, Advances in Applied Mathematics 6 (1985), 422–435. [15] R Glowinski, TW Pan, and J Periaux, A fictitious domain method for dirichlet problem and applications, Computer Methods in Applied Mechanics and Engineering 111 (1994), 283–303. [16] M Holst, RE Kozack, F Saied, and S Subramaniam, Multigrid-based Newton iterative method for solving the full nonlinear Poisson-Boltzmann equation, Biophysical Journal 66 (1994), A130–A130. [17] M Holst and F Saied, Multigrid solution of the Poisson-Boltzmann equation, Journal of Computational Chemistry 14 (1993), 105–113. [18] JG Huang and J Zou, A mortar element method for elliptic problems with discontinuous coefficients, IMA Journal of Numerical Analysis 22 (2002), 549–576. [19] K Ito and ZL Li, Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method, Journal of Scientific Computing 19 (2003), 253– 266. [20] K Ito, ZL Li, and Y Kyei, Higher-order, cartesian grid based finite difference schemes for elliptic equations on irregular domains, SIAM Journal on Scientific Computing 27 (2005), 346–367. [21] H. Johansen and P. Colella, A cartesian grid embedded boundary method for Poisson equations on irregular domains, Journal of Computational Physics 147 (1998), 60–85. [22] JD Kandilarov, A rothe-immersed interface method for a class of parabolic interface problems, Numerical Analysis and Its Applications 3401 (2005), 328–336. [23] JD Kandilarov and LG Vulkov, The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions, Numerical Algorithms 36 (2004), 285–307. [24] MC Lai, ZL Li, and XB Lin, Fast solvers for 3d Poisson equations involving interfaces in a finite or the infinite domain, Journal of Computational and Applied Mathematics 191 (2006), 106–125. [25] L Lee and RJ Leveque, An immersed interface method for incompressible navierstokes equations, SIAM Journal on Scientific Computing 25 (2003), 832–856. [26] RJ Leveque and ZL LI, The immersed interface method for elliptic-equations with discontinuous coefficients and singular sources, SIAM Journal on Numerical Analysis 31 (1994), 1019–1044. [27] ZL Li, Immersed interface methods for moving interface problems, Numerical Algorithms 14 (1997), 269–293. [28] ZL Li, A fast iterative algorithm for elliptic interface problems, SIAM Journal on Numerical Analysis 35 (1998), 230–254. [29] ZL Li, The immersed interface method using a finite element formulation, Applied Numerical Mathematics 27 (1998), 253–267. [30] ZL Li, An overview of the immersed interface method and its applications, Taiwanese Journal of Mathematics 7 (2003), 1–49. [31] ZL Li and K Ito, Maximum principle preserving schemes for interface problems with discontinuous coefficients, SIAM Journal on Scientific Computing 23 (2001), 339–361. [32] ZL Li and MC Lai, The immersed interface method for the navier-stokes equations with singular forces, Journal of Computational Physics 171 (2001), 822–842. [33] ZL Li, T Lin, and XH Wu, New cartesian grid methods for interface problems using the finite element formulation, Numerische Mathematik 96 (2003), 61–98. [34] ZL Li, DSWang, and J Zou, Theoretical and numerical analysis on a thermo-elastic system with discontinuities, Journal of Computational and Applied Mathematics 92 (1998), 37–58. [35] ZL Li, WC Wang, IL Chern, and MC Lai, New formulations for interface problems in polar coordinates, SIAM Journal on Scientific Computing 25 (2003), 224–245. [36] MN Linnick and HF Fasel, A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains, Journal of Computational Physics 204 (2005), 157–192. [37] XD Liu, RP Fedkiw, and MJ Kang, A boundary condition capturing method for Poisson’s equation on irregular domains, Journal of Computational Physics 160 (2000), 151–178. [38] Xu-Dong Liu and Thomas C. Sideris, Convergence of the ghost fluid method for elliptic equations with interfaces, Mathematics of Computation 72 (2003), no. 244, 1731–1746. [39] A Mayo, The fast solution of Poissons and the biharmonic-equations on irregular regions, SIAM Journal on Numerical Analysis 21 (1984), 285–299. [40] A Mayo, Fast high-order accurate solution of Laplace equation on irregular regions, SIAM Journal on Scientific and Statistical Computing 6 (1985), 144–157. [41] A Mckenney, L Greengard, and A Mayo, A fast Poisson solver for complex geometries, Journal of Computational Physics 118 (1995), 348–355. [42] CS Peskin, Numerical-analysis of blood-flow in heart, Journal of Computational Physics 25 (1977), 220–252. [43] J. Ruge and K. Stuben, Algebraic multigrid, in multigrid methods, (s.f. mccormick, ed.) 4, SIAM, Philadephia 4 (1987), 73–130. [44] Yu-Chen Shu, Interface problem and algebraic multigrid method, Master’s thesis, Math Department of National Taiwan University, Jan 2003. [45] GR Shubin and JB Bell, An analysis of the grid orientation effect in numericalsimulation of miscible displacement, Computer MethodsiIn Applied Mechanics and Engineering 47 (1984), 47–71. [46] AN Tikhonov and AA Samarskii, Homogeneous difference schemes, USSR Comput. Math. and Math. Phys. 1 (1962), 5–67. [47] AK Tornberg and B Engquist, Regularization techniques for numerical approximation of pdes with singularities, Journal of Scientific Computing 19 (2003), 527–552. [48] AK Tornberg and B Engquist, Numerical approximations of singular source terms in differential equations, Journal of Computational Physics 200 (2004), 462–488. [49] JHWalther and G Morgenthal, An immersed interface method for the vortex-in-cell algorithm, Journal of Turbulence 3 (2002), 1–9. [50] WCWang, A jump condition capturing finite difference scheme for elliptic interface problems, SIAM Journal on Scientific Computing 25 (2004), 1479–1496. [51] A Wiegmann and KP Bube, The explicit-jump immersed interface method: Finite difference methods for pdes with piecewise smooth solutions, SIAM Journal on Numerical Analysis 37 (2000), 827–862. [52] JJ Xu, ZL Li, J Lowengrub, and HK Zhao, A level-set method for interfacial flows with surfactant, Journal of Computational Physics 212 (2005), 590–616. [53] S Xu and ZJ Wang, Systematic derivation of jump conditions for the immersed interface method in three-dimensional flow simulation, SIAM Journal on Scientific Computing 27 (2006), 1948–1980. [54] XZ Yang, B Li, and ZL Li, The immersed interface method for elasticity problems with interfaces, Dynamics of Continuous Discrete and Impulsive Systems-Series A-Mathematical Analysis 10 (2003), 783–808. [55] YC Zhou, S Zhao, M Feig, and GW Wei, High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources, Journal of Computational Physics 213 (2006), 1–30.; en-US; http://ntur.lib.ntu.edu.tw/handle/246246/59500; http://ntur.lib.ntu.edu.tw/bitstream/246246/59500/1/ntu-96-D93221003-1.pdf
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18Dissertation/ Thesis
المؤلفون: 林有慶, Lin, Yu-Chin
المساهمون: 陳宜良, 臺灣大學：數學研究所
مصطلحات موضوعية: 代數多重網格法, Kaczmarz法, algebraic multigrid, AMG, Kaczmarz method, smoothing property
وصف الملف: 315120 bytes; application/pdf
Relation: [1] Ming Jiang. Image Reconstruction, Processing and Analysis. Unpublished [2] Richard L. Burden and J. Douglas Faires, Numerical Analysis,7th Edition, Brooks/Cole Publishing Company, 511 Forest Lodge Road, Pacific Grove, CA 93950, USA, 2001. [3] F. Natterer. The mathematics of computerized tomography. John Wiley & Sons, 2001. [4] C. Popa. Algebraic multigrid for general inconsistent linear systems: Preliminary results. Technical Report 06-2, Lehrstuhl fűr Informatik 10 (Systemsimulation), FAU Erlangen-Nűurnberg, 2006. [5] Popa C., On smoothing property of the SOR relaxation, Studii si Cercetari Matematice, 41(5)(1989), 399-406. [6] Popa C., Extensions of block-projections methods with relaxation parameters to inconsistent and rank-defficient least-squares problems; B I T, 38(1)(1998), 151-176. [7] Kőtler, Harald; Popa, Constantin; Prűmer, Marcus; Rűde, Ulrich: Towards an Algebraic Multigrid Method for Tomographic Image Reconstruction - Improving Convergence of ART . In: Wesseling, P.; Onate, E.; Peiaux, J. (Hrsg.) : ECCOMAS CFD 06. [8]H. Kőstler, C. Popa, and U. Rűde. Algebraic multigrid for general inconsistent linear systems: The correction step. Technical Report 06-4, Lehrstuhl fűr Informatik 10 (Systemsimulation), FAU Erlangen-Nűrnberg, 2006. [9]William L. Briggs, A Multigrid Tutorial, SIAM, Philadelphia, Pennsylvania, 2000.; en-US; http://ntur.lib.ntu.edu.tw/handle/246246/59492; http://ntur.lib.ntu.edu.tw/bitstream/246246/59492/1/ntu-96-R94221031-1.pdf
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19Dissertation/ Thesis
المؤلفون: 林煜鈞, Lin, Yu-Chun
المساهمون: 陳宜良, 臺灣大學：數學研究所
مصطلحات موضوعية: 多重網格法, 波瓦松-波茲曼方程, algebraic multigrid method, newton, Poission-Boltzmann equation
وصف الملف: 1913716 bytes; application/pdf
Relation: [ 1] A. Brandt, S.F McCormick, and J. W. Ruge, Algebraic multigrid (AMG) for sparse matrix equations, in Sparsity and Its Applications, D.J. Evans, ed., Cambridge University Press, Cambridge, 1984 [ 2] AN Tikhonov and AA Samarskii, Homogeneous difference schemes, USSR Comput. Math. And Math. Phys. 1 5–67 , 1962 . [ 3] I-Liang Chern, Jian-Guo Liu and Wei-Cheng Wang , Accurate Evaluation of Electrostatics for Macromolecules in Solution ,methods and applications of analysis,Vol.10, No.2, pp.309-308, June 2003, 2005. [ 4] I-Liang Chern and Yu-Chen Shu, A Coupling Interface Method for Elliptic Interface Problems , Journal of Computational Physics, 2007 . [ 5] M Holst and F Saied, Multigrid solution of the Poisson-Boltzmann equation, Journal of Computational Chemistry 14 (1993), 105–113. [ 6] P. Debye-H ckel , Physik. Z , 24 , pp185 ,1923. [ 7] Wolfgang. Hackbusch：Multi-Grid Methods and Applications, Springer-Verlag, 1985 . [ 8] Xu-Dong Liu and Thomas C. Sideris, Convergence of the ghost fluid method for elliptic equations with interfaces, Mathematics of Computation 72 (2003), no. 244, 1731–1746 .; en-US; http://ntur.lib.ntu.edu.tw/handle/246246/59431; http://ntur.lib.ntu.edu.tw/bitstream/246246/59431/1/ntu-96-R93221035-1.pdf
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20
المؤلفون: 徐志忠, Hsu, Chih-Chung
المساهمون: 張榮語, Chang, Rong-Yeu
مصطلحات موضوعية: 代數多重網格法, 可延展性, 共位體心有限體積法, Algebraic multigrid method, scalability, collocated finite volume method
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