Citation: | Lin HAN, Zi-ming ZHANG, Zhi-qiang NI. 2011: Application of SSOR-PCG method with improved iteration format in FEM simulation of massive concrete. Water Science and Engineering, 4(3): 317-328. doi: 10.3882/j.issn.1674-2370.2011.03.008 |
Bai, Z. Z., and Wang, Z. Q. 2006. Restrictive preconditioners for conjugate gradient methods for symmetric positive definite linear systems. Journal of Computational and Applied Mathematics, 187(2), 202-226. [doi: 10.1016/j.cam.2005.03.044]
|
Chen, R. S., Yung, E. K. N., Chan, C. H., and Fang, D. G. 2000. Application of the preconditioned conjugate- gradient algorithm to the edge FEM for electromagnetic boundary-value problems. Microwave and Optical Technology Letters, 27(4), 235-238. [doi:10.1002/1098-2760(20001120)27:4<235::AID-MOP5> 3.0.CO;2-8]
|
Chen, R. S., Tsang, K. F., and Mo, L. 2002a. Wavelet-based sparse approximate inverse preconditioned CG algorithm for fast analysis of microstrip circuits. Microwave and Optical Technology Letters, 35(5), 383-389. [doi: 10.1002/mop.10615]
|
Chen, R. S., Yung, E. K. N., Chan, C. H., Wang, D. X., and Fang, D. G. 2002b. Application of the SSOR preconditioned CG algorithm to the vector FEM for 3D full-wave analysis of electromagnetic-field boundary-value problems. IEEE Transactions on Microwave Theory and Techniques, 50(4), 1165-1172. [doi: 10.1109/22.993420]
|
Chen, R. S., Ping, X. W., Yung, E. K. N., Chan, C. H., Nie, Z., and Hu, J. 2006. Application of diagonally perturbed incomplete factorization preconditioned conjugate gradient algorithms for edge finite-element analysis of Helmholtz equations. IEEE Transactions on Antennas and Propagation, 54(5), 1604-1608. [doi: 10.1109/TAP.2006.874358]
|
Chen, Y. L., and He, J. 1998. Simulation on temperature and thermal stress distribution of RCC gravity dam during construction by using 3D FEM floating mesh method. Journal of Hydraulic Engineering, 29(s1), 3-6. (in Chinese)
|
Dai, H. 2001. Krylov subspace methods for solving large scale matrix problems. Journal of Nanjing University of Aeronautics and Astronautics, 33(2), 139-145. (in Chinese)
|
Feng, Y. T., and Owen, D. R. J. 1996. Conjugate gradient methods for solving the smallest eigenpair of large symmetric eigenvalue problems. International Journal for Numerical Methods in Engineering, 39(13), 2209-2229. [doi: 10.1002/(SICI)1097-0207(19960715)39:13<2209::AID-NME951>3.0.CO;2-R]
|
Jiang, S. L., Yang, L., Alsoliby, S., and Zhou, G. F. 2007. PCG solver and its computational complexity for implicit control-volume finite-element method of RTM mold filling simulation. Composites Science and Technology, 67(15-16), 3316-3322. [doi: 10.1016/j.compscitech.2007.03.030]
|
Karátson, J. 2008. Superlinear PCG algorithms: symmetric part preconditioning and boundary conditions. Numerical Functional Analysis and Optimization, 29(5-6), 590-611. [doi: 10.1080/01630560802099399]
|
Kim, S. Y., and Im, Y. T. 2003. Parallel processing of 3D rigid-viscoplastic finite element analysis using domain decomposition and modified block Jacobi preconditioning technique. Journal of Materials Processing Technology, 134(2), 254-264. [doi: 10.1016/S0924-0136(02)01107-X]
|
Kress, G., Siau, M., and Ermanni, P. 2005. Iterative solution methods for damage progression analysis. Composite Structures, 69(1), 21-33. [doi: 10.1016/j.compstruct.2004.04.043]
|
Lin, S. Z. 1997. Improved iterative format of symmetric successive over relaxation-preconditioned conjugated gradient method. Journal of Numerical Methods and Computer Applications, (4), 266-270. (in Chinese)
|
Lin, S. Z. 1998. Application of preconditioned conjugated gradient method to finite element equations and program design. Journal of Hohai University (Natural Sciences), 26(3), 112-115. (in Chinese)
|
Lin, S. Z., and Su, H. D. 2003. Fast algorithms for stress analysis simulating construction process of massive concrete structures and applications. Journal of Yangtze River Scientific Research Institute, 20(6), 19-22. (in Chinese)
|
Saint-Georges, P., Warzee, G., Beauwens, R., and Notay, Y. 1996. High-performance PCG solvers for FEM structural analysis. International Journal for Numerical Methods in Engineering, 39(8), 1313-1340. [doi: 10.1002/(SICI)1097-0207(19960430)39:8<1313::AID-NME906>3.0.CO;2-J]
|
Wilson, E. L. 1968. Determination of Temperatures Within Mass Concrete Structures. Berkeley: Department of Civil Engineering, University of California.
|
Wu, Y., and Luna, R. 2001. Numerical implementation of temperature and creep in mass concrete. Finite Elements in Analysis and Design, 37(2), 97-106. [doi: 10.1016/S0168-874X(00)00022-6]
|
Zhang, Z. M., Song, Z. T., and Huang, H. Y. 2002. New theory on adiabatic temperature rise and heat conduction equation of concrete. Journal of Hohai University (Natural Sciences), 30(3), 1-6. (in Chinese)
|
Zhao, D. S., Bo, Z. H., Li, G. Y., and Du, D. J. 1994. Visco-elasticity analysis for concrete arch dams by using dynamic emulation method. Journal of Hydraulic Engineering, 25(8), 18-26. (in Chinese)
|
Zhu, B. F. 1994. Mixed-layer method for analysis of stresses by simulating the construction process of multilayered high concrete structures. Journal of Hydroelectric Engineering, 13(3), 21-30. (in Chinese)
|
Zhu, B. F., and Xu, P. 1996. Zone-merged algorithm and zoned different-step-length algorithm in the concrete simulation calculation. Water Power, (1), 38-43. (in Chinese)
|
Zhu, B. F. 1999. Thermal Stresses and Temperature Control of Mass Concrete. Beijing: China Electric Power Press. (in Chinese)
|