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Analysis of a quasistatic displacement-traction problem for viscoelastic materials

✍ Scribed by O. Chau; L. Selmani; M. Sofonea

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
794 KB
Volume
32
Category
Article
ISSN
0895-7177

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✦ Synopsis

we consider an initial and boundary value problem which describes the evolution of a viscoelastic body submitted to body forces and surface tractions. The viscoelastic constitutive law is assumed to be nonlinear and the process is quasistatic. We prove the existence and the uniqueness of the solution using arguments of monotone operators theory and a version of Cauchy-Lypchitz theorem. We establish the continuous dependence of the solution on the elssticity operator. Finally, we study the behavior of the solution when the viscosity operator converges to zero.

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Numerical approximation of the coupled system of compressible miscible displacement problem in porous media is considered in this paper. A continuous in time discontinuous Galerkin scheme is developed. The symmetric interior penalty discontinuous Galerkin method is used to solve both the flow and tr