Introduction

Discretization and numerical realization of contact problems for elastic‐perfectly plastic bodies. PART I – discretization, limit analysis

“…Convergence of {σ h } to σ (solution of (P) * ) is guaranteed under the following conditions (see [12,15]):…”

Modeling, Simulation and Optimization of Electrorheological Fluids

“…We formulate (2.21a)-(2.21d) as a variational inequality of the second kind (cf., e.g., GLOWINSKI et al [1981]). To this end, we denote byũ ∈ W 1,2 (Ω) d ∩ H(div 0 ; Ω) the function with traceũ| ΓD = u D .…”

“…, the fluid flow is described by the nonlinear variational inequality of the second kind (2.63). Hence, appropriate numerical methods for such variational inequalities have to be provided (cf., e.g., GLOWINSKI et al [1981]). We present here an augmented Lagrangian approach relying on a mixed formulation of the problem that has been used in ENGELMANN et al [2000] for the computation of electrorheological fluid flows obeying the constitutive law (2.13).…”

A finite element approximation of three dimensional motion of a Bingham fluid

“…The above initial-boundary value problem was investigated for the first time in [4]. The numerical approximation of this problem has been the subject of numerous works : [1], [6], [9], [10] and [11]. However, the numerical study has been restricted to the case of either two dimensional domain or laminar flow in a cylindrical pipe.…”