Feasibility Conditions in Engineering ProblemsInvolving a Parametric System of Linear Inequalities

In this paper we apply the Γ -algorithm to obtain the feasibility conditions in different engineering problems involving a parametric system of linear inequalities. The feasibility conditions are the conditions for which the original system of linear inequalities has a solution. The Γ -algorithm is applied to solve the following problems: a heat transfer problem related to the finite difference method, various beam problems related to the finite difference method and a fracture mechanics problem related to numerical integration. Working with the Γ –algorithm, the feasibility conditions problem can be reduced to find the dual of a cone.