2018
DOI: 10.1007/s10915-018-0786-7
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High-Frequency Asymptotic Compression of Dense BEM Matrices for General Geometries Without Ray Tracing

Abstract: Wave propagation and scattering problems in acoustics are often solved with boundary element methods. They lead to a discretization matrix that is typically dense and large: its size and condition number grow with increasing frequency. Yet, high frequency scattering problems are intrinsically local in nature, which is well represented by highly localized rays bouncing around. Asymptotic methods can be used to reduce the size of the linear system, even making it frequency independent, by explicitly extracting t… Show more

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