This paper introduces a new numerical scheme for a system that includes evolution equations describing a perfect plasticity model with a time-dependent yield surface. We demonstrate that the solution to the proposed scheme is stable under suitable norms. Moreover, the stability leads to the existence of an exact solution, and we also prove that the solution to the proposed scheme converges strongly to the exact solution under suitable norms.

翻译：本文针对包含描述具有时变屈服面的理想塑性模型的演化方程系统，提出了一种新的数值格式。我们证明了所提格式的解在适当范数下是稳定的。此外，该稳定性保证了精确解的存在性，并且我们还证明了所提格式的解在适当范数下强收敛于该精确解。