Boundary element methods for the high-frequency Helmholtz equation require efficient compression techniques for the resulting matrices. Directional interpolation converges exponentially and is very robust and fast, but high accuracies lead to very large storage requirements. This problem can be solved by combining interpolation with algebraic recompression techniques that significantly reduce the storage requirements while keeping the accuracy and robustness and only moderately increasing the runtime.

中文翻译：

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高频亥姆霍兹边界元矩阵的自适应定向压缩

高频亥姆霍兹方程的边界元方法需要对结果矩阵采用有效的压缩技术。方向插值以指数方式收敛并且非常健壮和快速，但是高精度导致非常大的存储需求。这个问题可以通过将插值与代数再压缩技术相结合来解决，这些技术显着降低了存储需求，同时保持了准确性和鲁棒性，并且只适度增加了运行时间。