References

  1. I.I.Blekhman, A.D.Myshkis, Y.G.Panovko, Mechanics and applied mathematics: Logic and peculiarities of mathematical applications, Moscow, “Nauka”, 1983, 328 p. (In Russian)
  2. A.V.Vovkushevsky, B.A.Shoikhet, Analysis of massive hydraulic structures taking into account seam opening, Moscow, “Energiya”, 1981, 136 p. (In Russian)
  3. A.S.Gorodetsky, I.D.Evzerov, E.B.Strelets-Streletsky, V.E.Bogovis, Y.V.Genzersky, D.A.Gorodetsky, Finite element method: theory and computing implementation. Software system "Lira-Windows", Kiev, “FACT”, 1997. (In Russian)
  4. Dynamic structural analysis. (Designer’s manual) Moscow, “Stroyizdat”, 1984, 303 p. (In Russian)
  5. I.D.Evzerov, Error estimates for inconsistent plate finite elements, Deposited at Ukrainian Res. Inst. for Sci.-Tech. Information, Reg. No. 1467, Kiev, 1979, 9 p. (In Russian)
  6. O.Zenkevich, Finite element method in engineering, Moscow, “Mir”, 1975, 542 p. (In Russian)
  7. A.B. Kaplun, E.M. Morozov, M.A. Olferyeva, ANSYS in the engineer’s hands. Application manual, Moscow, “URSS”, 2003, 272 p. (In Russian)
  8. V.S. Karpilovsky, Methods for constructing finite elements, Deposited at Ukrainian Res. Inst. for Sci.-Tech. Information, Reg. No. 3153, Kiev, 1980, 20 p. (In Russian)
  9. N.M. Medvedeva, M.A. Mikitarenko, A.V. Perelmuter, Static and dynamic computer-aided analysis of masts, Strength of materials and structural theory. Issue 48, Kiev, “Budivelnyk”, 1986, pp. 79–82. (In Russian)
  10. A.V. Perelmuter, V.I. Slivker, Peculiarities of slope-deflection method’s algorithmic implementations when additional constraints are taken into account, Finite element method and structural mechanics: Proc. Leningrad Polytechnic Institute, No.349, 1976, pp. 28–36. (In Russian)
  11. A. Perelmuter, V. Slivker, Numerical Structural Analysis: Methods, Models and Pitfalls, Springer, 2003, 501 p.
  12. L.A. Rozin, Bar systems treated as systems of finite elements, Leningrad, University, 1975, 237 p. (In Russian)
  13. A.F. Smirnov, Static and dynamic stability of structures, Moscow, “Transzheldorizdat”, 1947. (In Russian)
  14. SNiP II-7-81*. Construction in seismic regions / Ministry of Construction of Russia. Moscow, 1996, 52 p.
  15. G. Strang, J. Fix, Theory of the finite element method, Moscow, Mir, 1977, 349 p. (In Russian)
  16. V.I.Feodosiev, Ten talks on strength of materials, Moscow, Nauka, 1975, 174 p. (In Russian)
  17. S.Y.Fialko, Direct methods for solving systems of linear equations in modern FEM-complexes – M.: SCAD SOFT, 2009. — 160 p.
  18. S.Y.Fialko, Realization of block Lanczos method with shifts in SCAD software applying to seismic analysis of structures, CADmaster, 2007, No. 40/5
  19. A.Billionnet, On interval graphs and matrice profiles, Revue française d'automatique, d'informatique et de recherche opérationnelle. Recherche opérationnelle, 1986, 20, No. 3, 245–256.
  20. S.Fialko, PARFES: A method for solving finite element linear equations on multi-core computers, Advances in Engineering Software, 2010, Vol. 41, Issue 12 — P.1256-1265.
  21. R.N.Makiett, P.V.Marcal, Finite Element Analysis of Nonlinear Structures, Journal Structural Division.  Proc./ASCE, 1968, Vol. 94, No ST9. Р.2081–2105.
  22. J.T.Oden, Finite elements of nonlinear continua, New York: McGraw Hill Book Company, 1972.
  23. D.Sabahi, T.Rose, Special Applications of Global-Local Analysis, MSC/NASTRAN 1992 World Users` Conference Proceedings.
  24. J.E.Schiermeier, J.M.Housner, J.B.Ranson, M.A.Aminpour, W.J.Stroud, The Application of Interface Element to Dissimilar Meshes in Global/Local Analysis, MSC 1996 World Users` Conference Proceedings
  25. S.P.Timoshenko, Theory of elastic stability, New York: McGraw Hill Book Company, 1961
  26. M.Yannanakis, Computing the minimum fill-in is NP-complete, SIAM Journal of Algebraic and Discrete Methods, 1981., T2. № 1, 77–79
  27. Papadimitriou C.H., The NP-completeness of the bandwidth minimization problem, Computing, 1976, 16, No. 3, 263–270.