Coercive and semicoercive hemivariational inequalities
Nonlinear Analysis: Theory, Methods & Applications
Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
A mixed formulation for frictional contact problems prone to Newton like solution methods
Computer Methods in Applied Mechanics and Engineering
A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
SIAM Journal on Numerical Analysis
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Quadratic finite element methods for unilateral contact problems
Applied Numerical Mathematics
Hybrid finite element methods for the Signorini problem
Mathematics of Computation
A mixed formulation for the Signorini problem in nearly incompressible elasticity
Applied Numerical Mathematics
Modified middle point scheme for the elastodynamic frictional contact problem
MATH'05 Proceedings of the 7th WSEAS International Conference on Applied Mathematics
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The purpose of this work is to present in a general framework the hybrid discretization of unilateral contact and friction conditions in elastostatics. A projection formulation is developed and used. An existence and uniqueness results for the solutions to the discretized problem is given in the general framework. Several numerical methods to solve the discretized problem are presented (Newton, SOR, fixed points, Uzawa) and compared in terms of the number of iterations and the robustness with respect to the value of the friction coefficient.