RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2004, Volume 310, Pages 145–157 (Mi znsl810)

On the estimate of deviations from the exact solution of the Reissner–Mindlin plate problem
S. I. Repin, M. E. Frolov

References

1. O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973  mathscinet
2. S. I. Repin, “Dvustoronnie otsenki otkloneniya ot tochnogo resheniya dlya ravnomerno ellipticheskikh uravnenii”, Trudy Sankt-Peterburgskogo Matematicheskogo obschestva, 9, 2001, 148–179  mathscinet  zmath
3. D. N. Arnold, R. S. Falk, “A uniformly accurate finite element method for the Reissner–Mindlin plate”, SIAM J. Numer. Anal., 26:6 (1989), 1276–1290  crossref  mathscinet  zmath
4. D. N. Arnold, A. L. Madureira, S. Zhang, “On the range of applicability of the Reissner–Mindlin and Kirchhoff–Love plate bending models”, J. of Elasticity, 67 (2002), 171–185  crossref  mathscinet  zmath
5. I. Babuška, T. Strouboulis, The finite element method and its reliability, The Clarendon Press, Oxford University Press, Numerical Mathematics and Scientific Computation,, New York, 2001  mathscinet
6. J. H. Bramble, T. Sun, “A negative-norm least squares method for Reissner–Mindlin plates”, Math. Comp., 67:223 (1998), 901–916  crossref  mathscinet  zmath  adsnasa
7. F. Brezzi, M. Fortin, “Numerical approximation of Mindlin–Reissner plates”, Math. Comp., 47:175 (1986), 151–158  crossref  mathscinet  zmath
8. C. Carstensen, “Residual-based a posteriori error estimate for a nonconforming Reissner–Mindlin plate finite element”, SIAM J. Numer. Anal., 39:6 (2002), 2034–2044  crossref  mathscinet  zmath
9. C. Carstensen, K. Weinberg, “An adaptive non-conforming finite-element method for Reissner–Mindlin plates”, Inter. J. Numer. Methods Engrg., 56:15 (2003), 2313–2330  crossref  mathscinet  zmath
10. E. Liberman, “A posteriori error estimator for a mixed finite element method for Reissner–Mindlin plate”, Math. Comp., 70:236 (2001), 1383–1396  crossref  mathscinet  zmath  adsnasa
11. S. Repin, “A posteriori error estimation for variational problems with uniformly convex functionals”, Math. Comp., 69:230 (2000), 481–500  crossref  mathscinet  zmath  adsnasa
12. S. Repin, “A posteriori error estimation for nonlinear variational problems by duality theory”, Zap. Nauchn. Semin. POMI, 243, 1997, 201–214  mathnet  mathscinet  zmath


© Steklov Math. Inst. of RAS, 2026