A class of numerical methods for autonomous initial value problems
AbstractIn this paper we introduce a class of explicit numerical methods for approximating the solutions of scalar initial value problems…
Numerical Analysis
A numerical method for the solution of an autonomous initial value problem
AbstractUsing 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 term
AbstractWe 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 constraints
AbstractIn 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 term
AbstractIn 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 constraint
AbstractThis 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 materials
AbstractWe 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 adhesion
AbstractA mathematical model describing the contact between a viscoplastic body and a deformable foundation is analyzed under small deformation hypotheses.…
A regularization method for a viscoelastic contact problem
AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoelastic body and a deformable obstacle, the so-called…
A mixed variational formulation of a contact problem with wear
AbstractWe consider a mathematical model which describes the sliding frictional contact between a viscoplastic body and an obstacle, the so-called…