The LATIN-PGD method is a powerful alternative to the Newton–Raphson scheme for solving non-linear time-dependent problems in combination with reduced-order modeling methods. Many developments have been carried out over the last few decades and have led to some variants of the LATIN-PGD method. However, only few comparisons have been made between these variants and none using the digital resources now available. In this article, a comparison between the two major variants of the LATIN-PGD method, as well as with the Newton–Raphson one, is performed using a unified software which highlights the assets of the LATIN-PGD. Various test cases dealing with elasto-visco-plastic problems are undertaken, including comparison with commercial solvers, which reveals the interesting time saving in favor of the LATIN-PGD method.

LATIN-PGD方法是牛顿-拉夫森方案的强大替代方案，结合降阶建模方法可以解决与时间有关的非线性问题。在过去的几十年中进行了许多开发，并导致了LATIN-PGD方法的一些变体。但是，这些变体之间只进行了很少的比较，而没有使用现有的数字资源进行比较。在本文中，使用突出显示LATIN-PGD资产的统一软件对LATIN-PGD方法的两个主要变体以及Newton-Raphson方法进行了比较。进行了各种处理弹塑性粘塑性问题的测试案例，包括与商业求解器的比较，这表明节省了有趣的时间，而赞成使用LATIN-PGD方法。