论文标题
混合变分的有限元素，用于隐式，通用的变形元素
Mixed Variational Finite Elements for Implicit, General-Purpose Simulation of Deformables
论文作者
论文摘要
我们提出并探索一种新的通用方法，用于弹性的隐式时间整合。我们方法的关键是使用混合的变分原理。反过来，其有限的元素离散化会导致有效的交替投影求解器，并具有许多以前的快速解决方案策略的理想属性。该框架适合一系列弹性本构模型，并且在各种时间步长，材料参数（包括准静态和近似刚性的问题）上保持稳定。评估并易于适用于体积，表面和杆模型是有效的。我们证明了方法在所有三个代码中的许多模拟示例中的功效。
We propose and explore a new, general-purpose method for the implicit time integration of elastica. Key to our approach is the use of a mixed variational principle. In turn its finite element discretization leads to an efficient alternating projections solver with a superset of the desirable properties of many previous fast solution strategies. This framework fits a range of elastic constitutive models and remains stable across a wide span of timestep sizes, material parameters (including problems that are quasi-static and approximately rigid). It is efficient to evaluate and easily applicable to volume, surface, and rods models. We demonstrate the efficacy of our approach on a number of simulated examples across all three codomains.
