We introduce a simple initialization of the Maubach bisection routine for adaptive mesh refinement which applies to any conforming initial triangulation. Using Maubach's routine with this initialization generates meshes that preserve shape regularity and satisfy the closure estimate needed for optimal convergence of adaptive schemes. Our ansatz allows for the intrinsic use of existing implementations.

翻译：我们提出一种适用于任意一致初始三角剖分的Maubach二分法新初始化方案，用于自适应网格细化。采用该初始化方案的Maubach二分法生成的网格能够保持形状正则性，并满足自适应算法最优收敛所需的闭包估计。该方案可自然兼容现有实现代码的调用。