Workshop on Mimetic Discretizations of Continuum Mechanics

我们建议组织一个研讨会：离散化连续统问题的模拟方法，有几个不同的研究小组和研究人员最近意识到他们正在研究的离散化方法有许多共同的特征，我们在这里称之为模拟。这将是第一次组织这群人第一次聚在一起。在连续介质力学中有许多强有力的离散问题的方法：有限元法、差分法和体积法;频谱法;沿着这些方法的各种推广和组合。通常，这些方法从一个连续力学问题开始，用偏微分、常微分、积分和代数方程描述，然后离散化这个问题的描述。有些方法可能会从守恒定律的积分描述开始，或者从微分形式描述的问题开始。

ABSTRACT0228920Stanley SteinbergU of New MexicoWe propose to organize a workshop: Mimetic Methods for Discretizing Continuum Problems.There are several di.erent research groups and individual researchers that have ratherrecently realized that they working on discretization methods that have many common featuresthat we refer here to as mimetic. This workshop will be the .rst organized to bringthis group of people together for the first time.There are many powerful methods for discretizing problem in continuum mechanics:finite element, di.erence and volume methods;sp ectral methods;along with various generalizationsand combinations of these. Typically, these methods start with a continuummechanicsproblem described in terms of partial-differential, ordinary-differential, integral,and algebraic equation and then discretize this description of the problem. Some methodsmay instead start with an integral description in terms of conservation laws or start withthe problem described in terms of differential forms.