Adaptive Mode Decomposition Methods

这项建议打算采取两个相当不同的领域， 燃烧和非线性动力学的炮弹，并适用于类似的 数值方法（区域分解）对这两个领域。 每个 该地区由一位著名的研究人员Belytschko代表- 壳贝利斯燃烧，并在应用中的 数值优化专家Nocedal将 为努力做出贡献。 这个提案是一个很好的例子， 大学内的跨学科研究。 使用域 分解作为一个连接，这三个研究人员将 不仅在各自的领域进行合作， 但也是平行的 处理. 最初的建议是三年的努力。 由于 不确定的计划资金，以及沉重的未来承诺，这 建议只提供两年的标准补助金。 正如与PI讨论的那样，许多其他成本降低 被列入：访问教授没有被列入 已批准;未包括光盘升级;网络 申请被拒绝;最重要的是，毕业生人数 学生从三个减少到两个。 据认为， 这最后一个行动，三名教师将不得不 协调他们的研究，以便最好地利用这两个 学生

This proposal intends to take two fairly diverse areas, combustion and nonlinear dynamics of shells, and apply a similar numerical method (domain decomposition) to both areas. Each area is represented by a well known researcher, Belytschko- shells & Bayliss-combustion, and in the application of the method an expert in numerical optimization, Nocedal, will contribute to the effort. This proposal is a nice example of interdisciplinary research within a university. Using domain decomposition as a connection the three researchers will cooperate to make advances not only in their individual areas, but also in parallel processing. The original proposal was for a three year effort. Due to the uncertain program funding, and the heavy future commitment, this proposal is recommended for only two years as a standard grant. As discussed with the PI's, a number of other cost reductions have been included: the visiting professor has not been approved; the disc upgrade has not been included; the networking request has been denied; most important, the number of graduate students has been reduced from three to two. It is felt that by this last action that the three faculty members will have to coordinate their research in order to best occupy these two students.