Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation
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DOI: 10.1007/s00211-021-01259-8
Abstract: Time-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices have to be computed… read more here.
Keywords: boundary element; wave equation; cross approximation; approximation ... See more keywords
Improving the Accuracy of the Adaptive Cross Approximation With a Convergence Criterion Based on Random Sampling
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2020.3010857
Abstract: The accuracy of the adaptive cross approximation (ACA) algorithm, a popular method for the compression of low-rank matrix blocks in method of moment computations, is sometimes seriously compromised by unpredictable errors in the convergence criterion.… read more here.
Keywords: accuracy adaptive; convergence; cross approximation; adaptive cross ... See more keywords