This work aims to provide a comprehensive and unified numerical analysis for non linear system of parabolic variational inequalities (PVIs) subject to Dirichlet boundary condition. This analysis enables us to establish an existence of the exact solution to the considered model and to prove the convergence for the approximate solution and its approximate gradient. Our results are applicable for several conforming and non conforming numerical schemes.

翻译：这项工作旨在为受迪里赫莱特边界条件制约的非线性抛物线性变异性不平等体系提供全面和统一的数字分析,这一分析使我们能够确定对所考虑的模式的确切解决办法的存在,并证明近似解决办法及其近似梯度的趋同性。