Finite element approximations for fluidflows governed by nonlinear slip boundaryconditions of friction type: from theory tocomputations (opens in a new tab)

Abstract

x Introduction 1 0.1 Thesis overview and our contributions . . . . . . . . . . . . . . . . . 4 0.2 Generalities on variational inequality and finite element approximation 5 0.2.1 Function spaces . . . . . . . . . . . . . . . . . . . . . . . . . . 6 0.2.2 Elements of nonlinear analysis . . . . . . . . . . . . . . . . . 9 0.2.3 Standard results on variational inequalities . . . . . . . . . . . 12 0.2.4 Preliminaries on finite element approximations . . . . . . . . . 13 1 Finite element analysis on steady Navier-Stokes and Stokes equations driven by threshold slip boundary conditions 15 1.