Research Initiation Award: Overcoming the Multi-Frequency and Non-Uniqueness Problems of the Boundary Element Method in Elastodynamics

提出了几种新的配方，以克服多- 边界元的频率和非唯一性问题 弹性动力学方法 对于多频问题，两个 提出了一种改进的边界元方法， 分析整个频谱的可能性和实用性。 第一种技术是内插“中性化”边界 频域中的元素系数矩阵;第二 一种技术是将绿色函数在空间中插值 域 这两种技术都适用于矢量化， 超级计算机上的并行化。 对于非唯一性问题， 提出了两种“增强的CHIEF”方法，以确保唯一性 外波边界元解的精度 传播问题。 矢量化和并行化代码基于 还将制备所提议的制剂。 应用领域 包括结构振动、弹性波传播和土- 结构相互作用

Several new formulations are proposed to overcome the multi- frequency and non-uniqueness problems of the boundary element method in elastodynamics. For the multi-frequency problem, two improved boundary element techniques are proposed to make the analysis for an entire frequency spectrum possible and practical. The first technique is to interpolate the "neutralized" boundary element coefficient matrices in the frequency domain; the second technique is to interpolate the Green function in the spatial domain. Both techniques are suitable for vectorization and parallelization on supercomputers. For the non-uniqueness problem, two "enhanced CHIEF" methods are proposed to ensure the uniqueness and accuracy of the boundary element solution for an exterior wave propagation problem. Vectorized and parallelized codes based on the proposed formulations will also be made. Application areas include structural vibration, elastic wave propagation and earth- structure interaction.