非定常不定边界问题边界无法的若干进展

对于复杂的非线性工程问题的数值模拟，边界元法（ＢＥＭ）日益显示出优于区域解法的长处，特别是时间相关（需按时段逐步迭代推进）和含各种不定边界（造成可变区域，网络需不断重分）的情形，ＢＥＭ可显著减少存贮要求与计算量．针对非线性问题数值模拟的主要难点，即微分算子线性化，时间相关项与可动边界（非线性边条）的处理等，综述了国内外边界无法学术界的近期研究进展，总体目标是寻求一种适应多种微分算子、非线性迭代和时段推进计算效能高的稳定数值模式． 

SOME RECENT ADVANCES IN BEM SOLUTION OF TIME-DEPENDENT PROBLEMS WITH MOVING BOUNDARIES

For the numerical modelling of complicated nonlinear problems, BEM model shows to be superior to the domain solution methods. Especially, for time-dependent problem (for which a time-marching scheme is needed) and for moving boundary (which means changeable solution domain and boundary where the regeneration of network is needed), BEM could reduce the storage requirement and CPU time considerably. In this paper, some principal difficulties, such as the linearization of the differential operator, the treatme...