Steffensen type methods for approximating solutions of differential equations5 years agoAbstractThe implicit methods for numerical solving of ODEs lead to nonlinear equations which are usually solved by the Newton method.…
A history-dependent contact problem with unilateral constraint5 years agoAbstractWe consider a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation. The contact is…
A class of numerical methods for autonomous initial value problems5 years agoAbstractIn this paper we introduce a class of explicit numerical methods for approximating the solutions of scalar initial value problems…
A numerical method for the solution of an autonomous initial value problem5 years agoAbstractUsing a known interpolation formula we introduce a class of numerical methods for approximating the solutions of scalar initial value…
An elastic contact problem with normal compliance and memory term5 years agoAbstractWe consider a history-dependent problem which describes the contact between an elastic body and an obstacle, the so-called foundation. The…
A penalized viscoplastic contact problem with unilateral constraints5 years agoAbstractIn this paper we study a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation.…
Convergence results for contact problems with memory term5 years agoAbstractIn this paper, we consider two quasistatic contact problems. The material’s behavior is modelled with an elastic constitutive law for…
Analysis of a contact problem with wear and unilateral constraint5 years agoAbstractThis paper represents a continuation of our previous work, where a mathematical model which describes the equilibrium of an elastic…
Analysis of a rate-and-state friction problem with viscoelastic materials5 years agoAbstractWe consider a mathematical model which describes the frictional contact between a viscoelastic body and a foundation. The contact is…
A mixed variational formulation of a contact problem with adhesion5 years agoAbstractA mathematical model describing the contact between a viscoplastic body and a deformable foundation is analyzed under small deformation hypotheses.…