Free Access
| Issue |
ESAIM: M2AN
Volume 45, Number 5, September-October 2011
|
|
|---|---|---|
| Page(s) | 925 - 945 | |
| DOI | https://doi.org/10.1051/m2an/2011002 | |
| Published online | 26 April 2011 | |
- J. Ahn and D.E. Stewart, Dynamic frictionless contact in linear viscoelasticity. IMA J. Numer. Anal. 29 (2009) 43–71. [CrossRef] [MathSciNet] [Google Scholar]
- M. Barboteu, J.R. Fernández and T.-V. Hoarau-Mantel, A class of evolutionary variational inequalities with applications in viscoelasticity. Math. Models Methods Appl. Sci. 15 (2005) 1595–1617. [CrossRef] [MathSciNet] [Google Scholar]
- M. Barboteu, J.R. Fernández and R. Tarraf, Numerical analysis of a dynamic piezoelectric contact problem arising in viscoelasticity. Comput. Methods Appl. Mech. Eng. 197 (2008) 3724–3732. [Google Scholar]
- A. Bergam, C. Bernardi and Z. Mghazli, A posteriori analysis of the finite element discretization of some parabolic equations. Math. Comp. 74 (2005) 1117–1138. [CrossRef] [MathSciNet] [Google Scholar]
- C. Bernardi and R. Verfürth, A posteriori error analysis of the fully discretized time-dependent Stokes equations. ESAIM: M2AN 38 (2004) 437–455. [Google Scholar]
- D.A. Burkett and R.C. MacCamy, Differential approximation for viscoelasticity. J. Integral Equations Appl. 6 (1994) 165–190. [CrossRef] [MathSciNet] [Google Scholar]
- M. Campo, J.R. Fernández, W. Han and M. Sofonea, A dynamic viscoelastic contact problem with normal compliance and damage. Finite Elem. Anal. Des. 42 (2005) 1–24. [CrossRef] [MathSciNet] [Google Scholar]
- M. Campo, J. R. Fernández, K.L. Kuttler, M. Shillor and J.M. Viaño, Numerical analysis and simulations of a dynamic frictionless contact problem with damage. Comput. Methods Appl. Mech. Eng. 196 (2006) 476–488. [Google Scholar]
- P.G. Ciarlet, The finite element method for elliptic problems, in Handbook of Numerical Analysis, P.G. Ciarlet and J.L. Lions Eds., Vol. II, North Holland (1991) 17–352. [Google Scholar]
- P. Clément, Approximation by finite element functions using local regularization. RAIRO Anal. Numér. 9 (1975) 77–84. [Google Scholar]
- M. Cocou, Existence of solutions of a dynamic Signorini's problem with nonlocal friction in viscoelasticity. Z. Angew. Math. Phys. 53 (2002) 1099–1109. [CrossRef] [MathSciNet] [Google Scholar]
- G. Del Piero and L. Deseri, On the concepts of state and free energy in linear viscoelasticity. Arch. Rational Mech. Anal. 138 (1997) 1–35. [CrossRef] [MathSciNet] [Google Scholar]
- G. Duvaut and J.L. Lions, Inequalities in mechanics and physics. Springer Verlag, Berlin (1976). [Google Scholar]
- C. Eck, J. Jarusek and M. Krbec, Unilateral contact problems. Variational methods and existence theorems, Pure and Applied Mathematics 270. Chapman & Hall/CRC, Boca Raton (2005). [Google Scholar]
- M. Fabrizio and S. Chirita, Some qualitative results on the dynamic viscoelasticity of the Reissner-Mindlin plate model. Quart. J. Mech. Appl. Math. 57 (2004) 59–78. [CrossRef] [MathSciNet] [Google Scholar]
- M. Fabrizio and A. Morro, Mathematical problems in linear viscoelasticity, SIAM Studies in Applied Mathematics 12. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (1992). [Google Scholar]
- J.R. Fernández and P. Hild, A priori and a posteriori error analyses in the study of viscoelastic problems. J. Comput. Appl. Math. 225 (2009) 569–580. [CrossRef] [MathSciNet] [Google Scholar]
- W. Han and M. Sofonea, Quasistatic contact problems in viscoelasticity and viscoplasticity. American Mathematical Society-International Press (2002). [Google Scholar]
- C. Johnson, Y.-Y. Nie and V. Thomée, An a posteriori error estimate and adaptive timestep control for a backward Euler discretization of a parabolic problem. SIAM J. Numer. Anal. 27 (1990) 277–291. [CrossRef] [MathSciNet] [Google Scholar]
- M. Karamanou, S. Shaw, M.K. Warby and J.R. Whiteman, Models, algorithms and error estimation for computational viscoelasticity. Comput. Methods Appl. Mech. Eng. 194 (2005) 245–265. [CrossRef] [Google Scholar]
- K.L. Kuttler, M. Shillor and J.R. Fernández, Existence and regularity for dynamic viscoelastic adhesive contact with damage. Appl. Math. Optim. 53 (2006) 31–66. [CrossRef] [MathSciNet] [Google Scholar]
- P. Le Tallec, Numerical analysis of viscoelastic problems, Research in Applied Mathematics. Springer-Verlag, Berlin (1990). [Google Scholar]
- S. Migórski and A. Ochal, A unified approach to dynamic contact problems in viscoelasticity, J. Elasticity 83 (2006) 247–275. [Google Scholar]
- J.E. Muñoz Rivera, Asymptotic behaviour in linear viscoelasticity. Quart. Appl. Math. 52 (1994) 628–648. [MathSciNet] [Google Scholar]
- M. Picasso, Adaptive finite elements for a linear parabolic problem. Comput. Methods Appl. Mech. Eng. 167 (1998) 223–237. [Google Scholar]
- B. Rivière, S. Shaw and J.R. Whiteman, Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Numer. Methods Partial Differential Equations 23 (2007) 1149–1166. [CrossRef] [MathSciNet] [Google Scholar]
- R. Verfürth, A review of a posteriori error estimation and adaptive mesh-refinement techniques. Wiley and Teubner (1996). [Google Scholar]
- R. Verfürth, A posteriori error estimates for finite element discretizations of the heat equation. Calcolo 40 (2003) 195–212. [CrossRef] [MathSciNet] [Google Scholar]
- M.A. Zocher, S.E. Groves and D.H. Allen, A three-dimensional finite element formulation for thermoviscoelastic orthotropic media. Int. J. Numer. Methods Eng. 40 (1997) 2267–2288. [CrossRef] [Google Scholar]
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