Abstract. In this paper, a nonconforming discretization method for the frictional contact between two bodies subjected to antiplane shear deformation is considered. The method is based on a mixed variational formulation where for the discretization of the Lagrange multiplier dual basis functions are used. Under some regularity assumptions on the solution, an optimal a priori error estimate is o...

Nomenclature F = state transition matrix H = matrix giving the ideal/noiseless connection between measurements and states I = identity matrix k = time index L = noise sensitivity matrix in nonlinear systems N = lag time constant integer P = estimation-error covariance matrix s = arbitrary time step used in inductive proof xk = state at time index k x̂ = state estimate x̂k = a priori state estimat...

Abstract As an extension of the finite element method, virtual method (VEM) can handle very general polygonal meshes, making it suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech. 58:1039–1050, 2016), lowest-order was applied to solve contact problem two elastic bodies on The numerical experiments showed robustness and accuracy scheme. this paper, we establish a priori error ...