Error estimates and analysis results for signorini's problem in thermo-electro-viscoelasticity

Abstract EN

We consider a mathematical model describing the quasi-static process of contact between a thermo-electro- viscoelastic body and a rigid foundation.

The contact is described by Signorini's conditions.

The variational formulation leads to a coupled system for the displacement led, the electric potential and the temperature.

The existence of weak solution is proved by using an abstract results for parabolic variational equalities, strongly monotone operators and Banach xed point theorem.

We also study the numerical approach to the problem using spatially semi-discrete and fully discrete nite elements schemes and derive error estimates on the approximate solutions.