Variational Principles and Large Scale Effective Quantities

摘要：

Large scale quantities are essential to multiscale modeling in various areas of science and engineering, and are often associated with variational principles. We illustrate by two examples the role of variational principles in bridging the information between small and large scales. The first example is the variational principle of Kolmogorov-Petrovsky-Piskunov (KPP) front speeds in temporally random shear flows inside an infinite cylinder. The variational principle allows us to bound and compute the front speeds. The second example is a sound amplification scheme for hearing aids based on minimization of perceptually corrected mechanical output of normal and impaired ear models. The two scale approach incorporating mechanics and perception recovers empirical results of hearing aid fitting, and offers adaptivity when input sounds are noisy.

关键词： Variational Principles. Computation of Large Scale Quantities.

作者: Jack Xin

作者单位: Mathematics, University of California at Irvine, Irvine, CA 92697, USA

会议类型: 国际会议

会议名称: The Fourth International Workshop on Scientific Computing and Applications(第四届国际科学计算与应用研讨会)

会议地点: 上海

会议语种:英文

页码: 74-81

在线出版日期: 2005-06-20（万方平台首次上网日期，不代表论文的发表时间）