This short note presents an extension of the hybrid, model-adaptation method introduced in [T.~Laidin, \textit{arXiv 2202.03696}, 2022] for linear collisional kinetic equations in a diffusive scaling to the nonlinear mean-field Vlasov-Poisson-BGK model. The aim of the approach is to reduce the computational cost by taking advantage of the lower dimensionality of the asymptotic model while reducing the overall error. It relies on two criteria motivated by a perturbative approach to obtain a dynamic domain adaptation. The performance of the method and the conservation of mass are illustrated through numerical examples.

翻译：本说明简短介绍了[T.~Laidin,\ textit{arXiv 2202.00.03696}, 20222] 中引入的用于线性碰撞动能方程的混合、模型适应方法的延伸,该方法在向非线性平均场Vlasov-Poisson-BGK模型的缩放中具有难度。该方法的目的是利用无药可治模型的较低维度来降低计算成本,同时减少整体误差。该方法依靠两种标准来获得动态域适应。该方法的性能和质量保护通过数字示例来说明。</s>