Workshop on Mimetic Discretizations of Continuum Mechanics

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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.