References
- Bose SK , Gorain GC . Stability of the boundary stabilised internally damped wave equation αv ttt + u ttt = a 2 (Δu + βΔu tt ) in a bounded domain in ℝ n . Indian J Math. 1998;40:1–15.
- Gorain GC . Exponential energy decay estimate for the solutions of internally damped wave equation in a bounded domain. J Math Anal Appl. 1997;216(2):510–520.
- Gorain GC . Stabilization for the vibrations modeled by the ‘standard linear model’ of viscoelasticity. Indian Acad Sci (Math Sci). 2010;120(4):495–506.
- Alves MS , Buriol C , Ferreira MV , et al . Asymptotic behaviour for the vibrations modeled by the standard linear solid model with a thermal effect. J Math Anal Appl. 2013;399:472–479.
- Green AE , Naghdi PM . A re-examination of the basic postulates of thermomechanics. Proc R Soc London Ser A Math Phys Sci. 1991;432(1885):171–194.
- Chandrasekharaiah DS . Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev. 1998;51(12):705–729.
- Chandrasekharaiah DS . Thermoelasticity with thermal relaxation: an alternative formulation. Proc Indian Acad Sci (Math Sci). 1999;109(1):95–106.
- Green AE , Naghdi PM . On thermodynamics and the nature of the second law. Proc R Soc London Ser A Math Phys Sci. 1977;357(1690):253–270.
- Green AE , Naghdi PM . On undamped heat waves in an elastic solid. J Therm Stresses. 1992;15(2):253–264.
- Green AE , Naghdi PM . Thermoelasticity without energy dissipation. J Therm Stresses. 1993;31(3):189–208.
- Pazy A . Semigroups of linear operators and applications to partial differential equations. New York (NY): Springer-Verlaag; 1983.
- Larson S , Thomée V . Partial differential equations with numerical methods. Vol. 45, Text in applied mathematics. Berlin: Springer; 2009.
- Quarteroni A , Sacco R , Saleri F . Numerical mathematics. Vol. 37, TAM series. New York (NY): Springer-Verlag; 2000; 2nd ed.; 2007.
- Quarteroni A , Valli A . Numerical approximation of partial differential equations. Vol. 23, SCM series. Heidelberg: Springer-Verlag; 1994.
- Hecht F . Freefem++ manual. 2012. Available from: http://www.freefem.org