Large scale finite element analysis of a structureof incompressible materials,typically found in problems oflarge strain elasto-plasticityor hyperelasticity, is still a challenging task, because of its ill-conditioning of stiffness matrix. To perform a large scale analysis whereany direct solver would fail because of lack of memory, iterative solvers arethe only methods tohandle the problem.However, the stiffness matrices generated from such problemsare typicallyseverely ill-conditioned, and the convergence ratio of the iterative solverswould bedeteriorated. In this study,performance benchmark of finite element analyses based on iterative solvers isconductedabout various kind of problems with incompressible behavior, for example, elasto-plastic analysis of J-2 metalas well aslargedeformation analysisof nearly incompressible hyperelastic rubber materials.